Online Appendix Asset Trading and Monetary Policy in Production Economies Guidon Fenig, Mariya Mileva and Luba Petersen ∗ Appendix A: Theoretical Model The framework that we use to implement our experimental design is based on a representative agent dynamic general equilibrium model (DGE) with sticky prices and monopolistic competition. In order to have a constant fundamental value for the asset that we introduce, we assume that the economy is subject to no shocks and therefore our model is not stochastic. However, the framework can be easily extended to include various shocks, in which case it will be a DSGE model. The choice of this particular framework is motivated by the fact that DGE (and DSGE) models are widely used for monetary policy analysis and forecasting among central banks. In this model households optimally choose their consumption of final goods, labor supply, and savings. In addition, we introduce a tradable asset that yields a fixed dividend every period. This is because we are interested in analyzing the consequences of monetary authorities’ intervention on the asset market. In this economy final goods are produced by monoplistically competitive firms that use labor as their only input. Firms set their prices based on the staggered pricing mechanism à la Calvo (1983). Finally, the central bank sets the nominal interest rate in response to fluctuations in inflation. We also consider an alternative monetary policy rule in which the central bank also responds aggressively to asset price inflation. Model We begin with a description of the model and provide a characterization of the behavior of households and their optimal decisions. Then we describe the production and price setting decisions of firms, and finally we show how the central bank conducts monetary policy. Households Households maximize the present discounted value of their utility associated with consumption and labor: ! 1+η 1−σ ∞ X C N t+j t+j Ut = βj − . (1) 1−σ 1+η j=0 Where Z Ct = 0 ∗ 1 θ−1 θ Cit θ θ−1 di . Corresponding author: Luba Petersen: lubap@sfu.ca. 1 (2) They obtain utility from the immediate consumption of a bundle of differentiated varieties, each variety denoted by Cit , and disutility from working Nt hours. The coefficient of relative risk aversion is represented by σ, the elasticity of labor supply by 1/η, and the elasticity of substitution between different varieties is given by θ. Equation 3 is the household’s budget constraint that equates expenditures to income: Pt Ct + Bt + Qt Xt = (Dt + Qt ) Xt−1 + (1 + it−1 )Bt−1 + Wt Nt + Tt . (3) Households may purchase a consumption good, Ct , at a price, Pt ; save or borrow through a risk-free nominal bond, Bt ; and acquire shares of a risky asset, Xt , at a price, Qt . They obtain income from dividends, Dt , on the risky asset; capital gains, Qt Xt−1 , from last period’s asset shares; interest rate income, (1 + it−1 )Bt−1 , on bond holdings; wage income from working, Wt Nt ; and a transfer, Tt , from the monopolistic firms. In both our theoretical framework and in the laboratory experiment, we assume a constant value for the dividend paid on each unit of the asset (the dividend is unrelated to economic fundamentals). The representative household maximizes its utility stream (1) by making optimal choices on Ct , Nt , Bt , and Xt subject to the budget constraint (3). From the household’s first-order conditions the following equations are derived: Ntη Wt −σ = P , Ct t " β Ct+1 Ct " Qt = β (4) # (1 + it ) = 1, and (1 + πt+1 ) # Ct+1 −σ (Dt+1 + Qt+1 ) . Ct (1 + πt+1 ) −σ (5) (6) Equation 4 describes the labor–leisure intratemporal trade-off taking the real wage as given. Equation 5 represents the intertemporal tradeoff between current and future consumption in terms of the risk-free bond. Equation 6 is an asset pricing equation for the risky asset. Real interest can be defined using the Fisher equation: 1 + it . 1 + rt = (1 + πt+1 ) Firms Firms possess a linear production function and operate in a monopolistically competitive environment. They sell differentiated goods, Yi , using labor as the sole input in the production process: Yit = ZNit . (7) Here, Nit is the number of hours of work hired by the firms and Z is a productivity parameter. Firms must decide what price to set for the output. Each period, only a fraction 1−ω of the firms are allowed to adjust the price (Calvo mechanism). The prices set by the firms determine the demand for each variety: 1 Yit = I Pit Pt 2 −θ Yt , where I is the number of firms in the economy. Pt is the aggregate price index and is defined as 1 (" I #) 1−θ X 1 Pt ≡ I θ−1 . (Pit )1−θ i=1 The Calvo assumption about price stickiness can be also written as: Pt1−θ = (1 − ω) (Pto )1−θ + ω (Pt−1 )1−θ . (8) Monetary Policy The central bank sets the nominal interest rate on bonds according to the following Taylor rule: i1−γ 1 + it−1 γ h (1 + it ) (1 + πt )δ , (9) = (1 + ρ) 1+ρ where ρ is the natural nominal interest rate. Also important to notice is that when γ > 0, the central bank exhibits interest rate smoothing behavior.1 Our decision to incorporate interest rate smoothing was motivated by a desire to provide stability in policy. We discuss alternative policies in the Treatments section. Market Clearing In order to close the model, we need to impose market clearing conditions on asset markets. Note that in a dynamic general equilibrium, the net supply of bonds is zero and the fixed supply of the shares of the risky asset is normalized to one: Bt = 0, and Xt = 1. We also impose that total demand for output is financed by income from output production and dividends: Dt Ct = Yt + . Pt Steady State Equilibrium To derive the steady state equilibrium, one can start by solving cost minimization problem for firm i (equation (7)): Wt Nit − ϕt (Yit − ZNit ) , min Nit Pt where ϕt is the firm’s real marginal cost. From the first-order condition, the following equation is obtained: Wt 1 mct ≡ ϕt = . Pt Z 1 Our model introduces an asset whose dividend stream is constant and not directly related to firm profits. Carlstrom and Fuerst (2007) note that if a central bank sets the nominal interest rate in response to share prices, it implicitly weakens its response to inflation which leads to equilibrium indeterminacy. This new source on indeterminacy hinges on the direct link between dividends and firm profits. Thus, a monetary policy responding to asset prices would not imply indeterminacy in our model. Note that in our model the no-arbitrage condition implies that interest rate smoothing is isomorphic to responding to asset price inflation as 1 + it = (Dt /Qt + Qt+1 /Qt ). 3 It can be shown that the ratio of the price set by the firms when they are able to update it, Pto , relative to the aggregate price index, Pt , is: P∞ i i 1−σ i=1 ω β Ct+i mct+i θ Pto = Pt θ − 1 P∞ i=1 ω i β i C 1−σ t+i Pt+i Pt Pt+i θ Pt θ−1 ≡ θ S1t , θ − 1 S2t where S1t = Ct1−σ mct + βωEt S1t+1 , and S2t = Ct1−σ + βωEt S2t+1 . With no shocks in the economy, S1t = S1t+1 and S2t = S2t+1 . This implies that θ Pto = mct . Pt θ−1 (10) Thus, in the steady state, W θ−1 = Z. (11) P θ Using the market clearing conditions and equation (4), the steady state values for labor and consumption are obtained: 1 θ − 1 1−σ η+σ , and Z θ 1 θ − 1 1−σ η+σ = Z Z . θ N SS = C SS From equation 5 the steady state for the interest rate can be obtained: iSS = 1 − 1. β Finally, from equation 6 the steady state for the asset price can be derived: QSS = β D̄. 1−β Derivation of the Inflation Equation Combining equations (4), (8), and (10), the following equation for inflation is obtained: 1 Πt = 1 − (1 − ω) ω 1−θ η σ θ Nt Ct θ−1 Z 1 1−θ 1−θ − 1. (12) Linearizing (12), by using a first-order Taylor approximation around the steady state, linearized inflation is obtained: Πt = 1 + γ c (Ctmed − C SS ) + γ n (Ntmed − N SS ), 4 where, γc = γn = σ−1 η 1 1 C SS N SS σθ(ω − 1)ω 1−θ Ψ, (1 − θ) Z σ η−1 1 1 C SS N SS ηθ(ω − 1)ω 1−θ Ψ, (1 − θ) Z and, Ψ = 1 − (1 − ω) σ C SS η N SS (θ − 1) Z 1 !1−θ −(1+ 1−θ ) θ σ η !−θ C SS N SS θ . (θ − 1) Z Appendix B: Parametrization We choose parameter values for our environment based on two considerations. First, we sought to have reasonable parameters consistent with empirical macroeconomic evidence. Second, our aim was to ensure a sufficiently interior steady state and steep expected payoff hills. This would enable us to clearly observe actively chosen deviations from equilibrium behavior (these parameters are presented in Table 1). We set the discount factor (framed in our environment as the probability of continuation of the sequence) β equal to 0.965. This implies that a particular sequence of periods would last for an average of 28 periods. The parameter of risk aversion, σ, is calibrated to be 0.33, while the labor supply parameter, η, is set to 1.5. The elasticity of substitution between varieties, θ, is 15, implying a markup of 7 percent over marginal cost. The Calvo parameter, ω, is 0.9, implying that 10 percent of firms have the ability to update their prices each period. The interest rate smoothing parameter used by the central bank is 0.5, while the Taylor rule parameter, indicating how responsive the nominal interest rate is to inflation, is δ = 1.5. The per-period dividend paid on assets is 0.035, which means that the asset is worth 1 after an average of 28 periods. We set a fixed fundamental value to minimize subjects’ confusion. Each firm produces Z = 10 units of output with 1 unit of labor. In the steady state, the selected calibration implies steady state levels of individual consumption and labor of 22.4 and 2.24 units, respectively. The steady state real wage is set to 9.35 and the steady state nominal rate of return is 0.036. 5 Table 1: Parameters and Steady State Values Parameter Z 1−ω δ α γ κ θ β ρ 1/σ 1/η µ∗ C∗ N∗ W∗ P∗ Parameter Description Productivity level Fraction of firms updating Inflation target of CB CB response to πtA Interest smoothing parameter CB Slope of NKPC Measure of substitutability Rate of discounting Natural nominal rate of return Elasticity of intertemporal substitution Frisch labor supply elasticity Steady state markup (θ/(θ − 1)) Steady state consumption Steady state labor Steady state nominal wage Steady state output price Value 10 0.1 1.5 0.15 0.5 0.07 15 0.965 0.0363 3.03 0.67 1.07 22.37 2.237 10 1.07 Appendix C: Asset market analysis including outlier sessions In this section, we provide the summary statistics and non-parametric statistical tests associated with our full data set that include NC5, C1 and AT1. Visual inspection of the trading data suggests that assets are frequently traded and usually above the constant fundamental value. On average and consistently across treatments, 62-65% of the time subjects are willing to engage in trade by submitting bids or asks. Wilcoxon signed-rank tests reject the null hypothesis that subjects are unwilling to engage in trade (N = 6 per treatment, p < 0.028 for all treatments).2 For each of the six sessions of the NI, C, and AT treatments, we compute the mean trading price. In the No-Intervention treatment, the mean price is 5.14 (s.d. 6.4). The introduction of a cash-in-advance constraint in the Constrained treatment results in a mean price of 5.90 (s.d. 2.35), while an asset inflation targeting monetary policy lowers the mean price to 3.73 (s.d. 1.52). Signed rank tests reject the null hypothesis that asset prices are traded at the constant fundamental value of 1 (N = 6, p = 0.027 for all treatments). We also consider the possibility that asset prices track the dynamic fundamental value. For each session, we compute the mean period deviation of prices from the dynamic fundamental value and conduct signed rank tests to determine whether the values are different from zero. The mean deviation is 0.14 (s.d. 0.31, p = 0.753) in the NI treatment, 0.26 (s.d. 0.21, p = 0.027) in the C treatment, and 0.07 (s.d. 0.07, p = 0.046) in the AT treatment. Table 2 presents measures of trading activity and mispricing at the session-level with mean and standard deviation statistics. Two-sided Wilcoxon rank-sum tests are calculated with average measures at the session level, and the associated p-values are 2 For reference, on the online appendix we plot the asset prices and trading volume for each session. 6 presented at the bottom of the table. We also provide box-plots of session-level statistics in the Appendix. Given that participants were paid primarily on their consumption and labor decisions, it seems reasonable to expect minimal trading activity in the asset market. Our results indicate that this was not the case. In all sessions we observed P considerable asset trading. Turnover of the asset between traders is computed by T = t Vt /S, where V is the total volume of trade and S is the total stock of outstanding assets in the market. We observe little difference in turnover across treatments. Mean turnover is the lowest in the NI treatment (0.71) and highest in the C treatment (0.78) with the differences across treatments not statistically significant (p > 0.52 for all treatment comparisons using two-sided Wilcoxon rank sum tests). More than two-thirds of the participants submitted a bid during the experiment (76 percent in NI, 81 percent in C, and 79 percent in AT) and almost all participants submitted an ask (98 percent in NI, 92 percent in C, and 87 percent in AT). We hypothesized that the introduction of a leverage constraint in the C treatment would reduce the market value of bids relative to the NI treatment. For each session, we calculate the average market value of all bids (measured as bid price times quantity demanded). However, a two-sided Wilcoxon rank sum test fails to reject the null hypothesis that the distribution of mean market value of bids are identical (N = 6, p = 0.4233) in the two treatments. Neither the bid prices nor the quantities being demanded differ significantly across the treatments. We obtain an identical result for mean market value of asks. We use a variety of measures to assess whether the policies influenced asset price deviations. We first consider the amplitude of the asset price deviation, measured as the trough-to-peak change in the market asset price relative to its fundamental value, t (Pt −ft ) is computed as A = maxt (Pt −ft )−min , where Pt is the market-clearing price of the E asset in period t and E is the expected dividend value over the lifetime of the asset. The average amplitude in the NI treatment was 17.37 (s.d. 30). This result was driven by one session that had a measured amplitude of 78.5, while the remaining five sessions ranged from 1.92 to 6.33. Despite an inability to borrow for speculation, the measures of amplitude decrease only modestly in the C treatment and are not significantly different from the NI treatment (p = 0.20 under both specifications of the fundamental value). However, when we exclude the outlier NI session, we find that amplitudes are significantly higher in the C treatment (p = 0.04 under both amplitude measures). Also counter to our predictions, amplitudes in the AT treatment are significantly higher than in the NI treatment under both specifications of the fundamental value (p ≤ 0.05 in both cases). Weighting the amplitude by the volume of trade, we compute the market value amplitude as M = maxt ((PEt −ft )Vt ) . The market value amplitude is higher in both intervention treatments than in the baseline asset market environment, driven by more frequent turnover. The relative asset deviation measures the degree of mispricing in asset market experiments weighted by the number of periods of potential trade (see Stöckl, Huber and P t| Kirchler (2010) for details). We compute this as RAD = T1 Tt=1 |Ptf−f , where T is t the total number of periods in the asset market. The average RAD under a constant fundamental value in the NI treatment was 4.38 (s.d. 6.45), and when we exclude the outlier session, this measure drops to 1.61 (s.d. 1.13). Mean RAD in the C and AT treatments are 5.12 (s.d. 2.44) and 2.85 (s.d. 1.57), respectively. The differences in RAD across the NI and C treatments are statistically significant at the 5% level if we 7 exclude the outlier session. The results are qualitatively similar when we consider the dynamic fundamental value. Finally, we consider how volatility in asset markets may change in response to policy interventions. We calculate the realized volatility of the asset prices as the standard deviation of the asset’s log returns. The price of the asset in a period with no trade is set equal to the last trading price. Under a leverage constraint, as the investors’ budget constraint fluctuates between binding and slackness, prices should adjust more extremely. By contrast, under asset inflation targeting, nominal interest rates adjust to provide or restrict liquidity to smooth asset price fluctuations. Our data fails to support these prediction. We find that neither policy lead to significant changes in asset price volatility. While volatility rises from 0.36 in the NI treatment to 0.41 in the C and 0.44 in the AT treatments, the treatment differences are not statistically significant (p = 0.873 in both pairwise comparisons).3 Table 2: Session-Level Statistics on Asset Market Variables (outliers included) I Treatment Statistic Turnover Ampl. S.S. Ampl. Dynamic MV Ampl. S.S. MV Ampl. Dynamic RAD S.S. RAD Dynamic Volatility NI mean s.d. 0.71 0.35 17.37 30.00 20.94 40.09 36.02 29.42 8.19 6.71 4.38 6.45 1.37 2.11 0.36 0.13 C mean s.d. 0.78 0.39 16.07 11.94 21.79 14.63 49.54 48.80 34.25 38.19 5.12 2.44 1.64 1.28 0.41 0.33 AT mean s.d. 0.77 0.34 19.94 25.47 31.06 46.19 49.70 34.30 24.05 16.31 2.85 1.57 1.41 1.58 0.44 0.25 NI vs. C NI vs. AT C vs. AT p-value p-value p-value 0.57 0.52 0.87 0.20 0.05 1.00 0.20 0.04 0.75 0.52 0.42 1.00 0.26 0.02 0.87 0.15 0.52 0.15 0.20 0.34 0.63 0.873 0.873 0.749 (I) This table presents session-level statistics on asset market variables. N=6 for each treatment. Turnover measures the trading activity in the market by the total volume of trade divided by the total outstanding stock in the experiment and the number of periods. Amplitude measures the trough-to-peak change in market asset value relative to fundamental value. Market value amplitude measures the normalized market value of trade by weighting period amplitude by the volume of trade. RAD is the relative absolute deviation of asset prices from fundamentals, weighted by the number of periods of trade. Volatility measures the historical volatility of the log-returns. 3 Computing asset price volatility as the standard deviation of log returns of only periods with positive trade does not change our general results. 8 Table 3: Asset Prices - Comparison of Treatment Effects (outliers included)I Dep.V ar.: logQt C AT (1) 1.604*** (0.07) 1.099*** (0.09) P ercEnteringW ithDebt P ercEnteringW ithDebt × C P ercEnteringW ithDebt × AT (2) 1.581*** (0.09) 1.130*** (0.10) 0.728*** (0.20) -0.743** (0.31) -0.962*** (0.34) logQt−1 logYt−1 logYt−1 × C logYt−1 × AT πt−1 (3) -0.679 (1.03) 2.159** (0.95) -0.071 (0.12) 0.025 (0.19) 0.053 (0.17) 0.905*** (0.02) 0.026*** (0.01) 0.124 (0.19) -0.417** (0.18) 0.542 (0.44) it−1 9 it−1 × C it−1 × AT N N g g min g max g avg χ2 775 18 24 59 43.06 665.3 775 18 24 59 43.06 500.8 723 18 22 56 40.17 21694.2 (4) 1.546*** (0.08) 1.138*** (0.09) (5) -0.961 (1.26) 0.499 (1.03) 3.421*** (1.03) -2.609* (1.35) -4.837*** (1.21) 775 18 24 59 43.06 755.4 0.912*** (0.02) 0.019*** (0.01) 0.186 (0.24) -0.084 (0.20) 0.877 (0.85) 0.044 (0.76) -0.649 (0.81) -2.801*** (0.90) 723 18 22 56 40.17 24906.2 (6) -1.063 (1.40) 0.426 (1.06) -0.046 (0.13) 0.023 (0.20) -0.002 (0.18) 0.904*** (0.02) 0.023** (0.01) 0.203 (0.27) -0.070 (0.20) 0.787 (0.89) 0.148 (0.81) -0.636 (0.88) -3.048*** (0.92) 723 18 22 56 40.17 19735.4 (I) This table presents results from panel-data linear models fit using feasible generalized least squares, to allow estimation in the presence of AR(1) autocorrelation with panels and cross-sectional correlations and heteroskedasticity across panels. *p < 0.10, **p < 0.05, and ***p < 0.01. Table 4: Asset Prices - By Treatment (outliers included) Dep.V ar.: logQt PercEnteringWithDebt (2) 0.733*** (0.20) llogassetprice llogoutputproduced adjSub loutputpriceinflation (3) -0.068 (0.12) 0.917*** (0.03) 0.023** (0.01) 0.671 (0.55) lir N N g g min g max g avg chi2 218 6 24 46 36.33 13.48 202 6 22 43 33.67 4668.3 logQt PercEnteringWithDebt (2) 0.500* (0.30) (3) -0.006 (0.12) 0.893*** (0.03) 0.017** (0.01) -1.820* (1.10) llogassetprice 10 llogoutputproduced adjSub loutputpriceinflation lir N N g g min g max g avg chi2 297 6 43 59 49.50 2.782 277 6 39 56 46.17 4851.4 NI Treatment (4) (5) 0.907*** (0.03) 0.011 (0.01) -1.001 (1.45) 1.495 (1.16) 202 6 22 43 33.67 4656.0 4.268*** (1.03) 218 6 24 46 36.33 17.04 AT Treatment (4) 0.373 (0.77) 297 6 43 59 49.50 0.233 (5) 0.910*** (0.03) 0.034*** (0.01) 2.218 (1.41) -3.520*** (0.78) 277 6 39 56 46.17 4285.6 (6) -0.050 (0.12) 0.907*** (0.03) 0.014 (0.01) -1.065 (1.46) 1.530 (1.18) 202 6 22 43 33.67 4436.1 (2) 2.058*** (0.33) 260 6 36 55 43.33 39.94 I (3) 0.026 (0.16) 0.874*** (0.03) 0.031*** (0.01) 0.758 (0.70) 244 6 33 51 40.67 6735.8 C Treatment (4) (5) 9.130*** (1.00) 260 6 36 55 43.33 83.06 0.886*** (0.03) 0.030** (0.01) 0.967 (1.46) -0.157 (1.20) 244 6 33 51 40.67 8394.3 (6) 0.032 (0.18) 0.872*** (0.03) 0.031** (0.01) 0.759 (1.59) 0.007 (1.42) 244 6 33 51 40.67 6337.5 (6) -0.061 (0.13) 0.908*** (0.03) 0.038*** (0.01) 2.444* (1.43) -3.721*** (0.79) 277 6 39 56 46.17 4000.1 (I) This table presents results from panel-data linear models fit using feasible generalized least squares, to allow estimation in the presence of AR(1) autocorrelation with panels and heteroskedasticity across panels. Total output produced, logYt−1 , is adjusted to account for decisions not submitted on time and group size. *p < 0.10, **p < 0.05, and ***p < 0.01. Production In this section, we discuss findings associated with individual labour supply, output demand, and aggregate production. Summary statistics computed at the session-level are presented in Table 5 and distributions of labor supply and output demand decisions are presented in Figure ?? for each treatment. The distributions include all decisions made by participants in the experienced phase of the experiment. The dashed vertical line labeled SS refers to the steady state predicted individual labor supply of 2.24 hours and output demand of 22.4 units. In the Benchmark (B) treatment, the median labor supply is 2.3 hours. Introducing an asset market into the economy in the NI treatment reduces the labor supply across nearly the entire distribution and median labor supply decreases to 2.1 hours. When a leverage constraint is imposed on subjects in the C treatment, labor supply increases considerably across the entire distribution and median labor supply rises to 2.5 hours. Finally, in the AT treatment, median labor supply is 2.25, with its distribution relatively more centered around the steady state prediction than under the NI treatment. Mean labor supply, measured at the session-level, is not significantly different from the steady state prediction in the NI and AT treatments (signed-rank test, p > 0.60 in both cases), whereas it is significantly greater in the B treatment (p = 0.075) and C treatment (p = 0.028). Output demands, by contrast, are significantly greater than the steady state predictions in all treatments. Median output demand is 40 units in the B treatment. Introducing asset markets and leverage constraints in the NI and C treatments decreases the output demands across the majority of the distribution and we observe quite large decreases in the number of participants demanding high levels of output. Median output demands decrease to 30 and 32 units in the NI and C treatments, respectively. The median output demand is 40 units in the AT treatment. Mean output demands follow a similar pattern. Signed rank sum tests reject the null hypothesis that mean output demands, measured at the session-level, are identical to the steady state prediction (p = 0.028 in the B, C, and AT treatments, p = 0.075 in the NI treatment). While every period of play involves some rationing, we observe that the majority of rationing takes place in the output market. Labor rationing occurs most frequently in the C treatment in approximately 20 percent of experienced periods while it never occurs in the experienced periods of the AT treatment. As a result, production is usually determined by subjects’ labor supply. Mean production is 242.24 units in the B treatment but is not significantly different from the steady state prediction at the 10% level (p = 0.116). In the NI treatment, mean production is 208.39 units and is not significantly different from either the steady state prediction or the baseline economy with no asset market. The imposition of the leverage constraint in the C treatment results in a mean production of 237.55 units that is significantly higher than the steady state prediction. Finally, under the asset inflation targeting policy in the AT treatment, mean production is very close to the prediction at 200.29 units. Output volatility is significantly greater than predicted by the non-stochastic model and signed-rank tests consistently reject the null hypothesis that output volatility is zero (p = 0.028 in all treatments). Output volatility is the lowest in the C treatment at 0.103 while the highest in the B treatment at 0.17. This difference is statistically significant at the 5% level. Output volatility in the C treatment is also significantly lower than in the NI treatment (p = 0.004). We attribute the increased and stable labor supply in the C treatment to increased precautionary saving motives due to the imposed leverage constraint. 11 Table 5: Session-Level Statistics on Production (outliers included)I Mean Labor Supply 2.24 Mean Output Demand 22.4 Total Output Produced 201.6 Freq. Excess Labor Supply† 0 Output Volatility 0 mean s.d. 2.76 0.76 49.91** 12.96 242.24 63.22 0.106 0.17 0.170** 0.05 6 mean s.d. 2.34 0.39 39.77* 15.43 208.39 37.45 0.077 0.119 0.156** 0.032 C 6 mean s.d. 2.70 0.28 40.53** 10.39 237.55** 19.38 0.196 0.255 0.103** 0.019 AT 6 mean s.d. 2.25** 0.18 52.27** 9.52 200.29 16.71 0 0 0.136** 0.042 p-value p-value p-value p-value p-value p-value 0.262 0.715 0.109 0.109 0.631 0.010 0.423 0.200 0.631 0.873 0.109 0.109 0.337 0.522 0.200 0.200 0.749 0.010 0.703 0.305 0.14 0.305 0.14 0.022 0.522 0.025 0.149 0.004 0.200 0.149 Treatment Sessions Statistic B 6 NI Steady State B vs. NI B vs. C B vs. AT NI vs. C NI vs. AT C vs. AT (I) Session-level results for experienced participants are presented: total output produced, frequency of excess aggregate labor supply and output volatility. Total output produced is adjusted for the number of participants who submitted their decisions on time. Asterisks indicate the significance of the difference of the mean estimate from its steady state prediction. *p < 0.10, **p < 0.05, and ***p < 0.01. † All sessions experience rationing in every period. Finding 4. The introduction of an asset market reduces both labor supply and output demand on average, but the differences between the B and NI treatments are not statistically significant. Finding 5. Leverage constraints increase labor supply and considerably increase the frequency of labor rationing. Production volatility is significantly lower with leverage constraints in place as workers more consistently supply labor from one period to the next. Finding 6. Asset inflation targeting policies slightly reduce average labor supply and lead to large increases in average output demands. Average production is not significantly affected by the policy. 12 13 Table 6: Individual Labor Supply Decisions (outliers included) S logNi,t Indebtedi,t Benchmark Treatment (1) (2) (3) 0.287*** (0.04) it−1 4.433*** (0.21) S logNi,t−1 D logCi,t logW aget−1 logOutputP ricet−1 EnteringBankBalancei,t (1) 0.034** (0.02) 0.430*** (0.16) 0.521*** (0.02) 0.055*** (0.01) 0.070*** (0.01) -0.041** (0.02) -0.000* (0.00) (2) I NI Treatment (3) (4) 0.303*** (0.03) 4.628*** (0.31) logQt−1 0.358*** (0.02) EnteringAssetHoldingsi,t 0.062*** (0.00) BuyAssets SellAssets 14 N N g g min g max g avg χ2 S logNi,t Indebtedi,t 1581 54 15 46 29.28 58.60 1581 54 15 46 29.28 467.1 1508 54 8 46 27.93 34768.4 (1) (2) C Treatment (3) (4) 0.207*** (0.02) it−1 7.417*** (0.17) logQt−1 0.380*** (0.01) EnteringAssetHoldingsi,t 0.068*** (0.00) S logNi,t−1 D logCi,t BuyAssets SellAssets logW aget−1 logOutputP ricet−1 EnteringBankBalancei,t N N g g min g max g avg χ2 2598 54 41 57 48.11 75.70 2598 54 41 57 48.11 1824.6 2270 54 33 54 42.04 1849.5 2598 54 41 57 48.11 1969.5 1926 50 22 47 38.52 84.14 1926 50 22 47 38.52 229.5 1704 50 19 45 34.08 558.1 1926 50 22 47 38.52 1182.8 (5) (1) (2) AT Treatment (3) (4) 0.049*** (0.01) 0.131 (0.17) 0.015*** (0.00) 0.002*** (0.00) 0.577*** (0.02) 0.038*** (0.01) -0.013 (0.01) -0.017** (0.01) 0.080*** (0.01) -0.041** (0.02) 0.000 (0.00) 2237 54 26 54 41.43 88636.9 0.101*** (0.03) 0.388*** (0.10) 0.254*** (0.01) 0.065*** (0.00) 2738 53 39 67 51.66 13.86 2738 53 39 67 51.66 16.24 2545 53 36 58 48.02 584.7 2738 53 39 67 51.66 4067.3 (5) 0.012 (0.02) 1.341*** (0.30) 0.358*** (0.02) 0.185*** (0.01) -0.127*** (0.02) 0.082*** (0.03) -0.000 (0.00) 0.068*** (0.01) 0.003** (0.00) 0.015 (0.03) 0.022 (0.02) 1378 43 17 45 32.05 9577.0 (5) 0.021** (0.01) -0.131 (0.08) -0.000 (0.00) -0.000 (0.00) 0.616*** (0.02) 0.025*** (0.00) 0.018*** (0.01) 0.016*** (0.00) 0.091*** (0.01) -0.045* (0.02) 0.000 (0.00) 2516 53 32 58 47.47 147146.5 (I) This table presents results from panel-data linear models fit using feasible generalized least squares, to allow estimation in the presence of AR(1) autocorrelation with panels and cross-sectional correlations and heteroskedasticity across panels. *p < 0.10, **p < 0.05, and ***p < 0.01. 15 Table 7: Individual Output Demand Decisions (outliers included) D logCi,t Indebtedi,t (1) Benchmark Treatment (2) (3) -0.022 (0.07) it−1 3.484*** (0.43) D logCi,t−1 S logNi,t logW aget−1 logOutputP ricet−1 EnteringBankBalancei,t (1) -0.097*** (0.03) -1.835*** (0.25) 0.809*** (0.02) 0.171*** (0.02) 0.288*** (0.03) -0.216*** (0.03) 0.000 (0.00) (2) I NI Treatment (3) (4) 0.047 (0.06) 3.498*** (0.59) logQt−1 0.401*** (0.04) EnteringAssetHoldingsi,t 0.201*** (0.01) BuyAssets SellAssets 16 N N g g min g max g avg χ2 D logCi,t Indebtedi,t 1594 54 14 46 29.52 0.0968 1594 54 14 46 29.52 65.83 (1) (2) 1520 54 7 46 28.15 156848.5 C Treatment (3) (4) -0.066 (0.04) it−1 11.804*** (0.51) logQt−1 0.804*** (0.03) EnteringAssetHoldingsi,t 0.182*** (0.01) D logCi,t−1 S logNi,t BuyAssets SellAssets logW aget−1 logOutputP ricet−1 EnteringBankBalancei,t N N g g min g max g avg χ2 2586 54 33 57 47.89 2.341 2586 54 33 57 47.89 532.6 2259 54 26 54 41.83 857.9 2586 54 33 57 47.89 1151.3 1915 50 22 47 38.30 0.591 1915 50 22 47 38.30 35.38 (5) (1) (2) -0.061*** (0.02) -2.456*** (0.25) 0.008 (0.01) 0.000 (0.00) 0.800*** (0.01) 0.183*** (0.02) 0.034* (0.02) -0.008 (0.01) 0.286*** (0.02) -0.226*** (0.03) -0.000** (0.00) 2234 54 21 54 41.37 409012.2 -0.104** (0.04) 1697 50 19 45 33.94 117.3 AT Treatment (3) 1915 50 22 47 38.30 1138.1 (4) 1.352*** (0.32) 0.494*** (0.03) 0.233*** (0.00) 2754 53 40 67 51.96 6.375 2754 53 40 67 51.96 17.82 2561 53 39 58 48.32 298.6 2754 53 40 67 51.96 2502.2 (5) -0.034* (0.02) -1.847*** (0.30) 0.825*** (0.01) 0.132*** (0.02) 0.268*** (0.02) -0.171*** (0.03) 0.000** (0.00) -0.028*** (0.01) 0.002** (0.00) 0.008 (0.03) 0.019 (0.02) 1653 50 17 45 33.06 215522.0 (5) 0.005 (0.02) -0.570*** (0.16) 0.019*** (0.01) 0.000 (0.00) 0.906*** (0.01) 0.078*** (0.02) 0.031** (0.02) 0.031*** (0.01) 0.117*** (0.02) -0.147*** (0.04) 0.000 (0.00) 2528 53 35 58 47.70 514133.1 (I) This table presents results from panel-data linear models fit using feasible generalized least squares, to allow estimation in the presence of AR(1) autocorrelation with panels and cross-sectional correlations and heteroskedasticity across panels. *p < 0.10, **p < 0.05, and ***p < 0.01. Table 8: Individual Labor Supply and Output Demand Decisions - Treatment Comparisons (outliers included)I C AT (1) 0.887*** (0.01) 0.753*** (0.00) EnteringBankBalancei,t (2) S Panel A: Labor Supply Decisions Ni,t (3) (4) (5) -0.000 (0.00) 0.001 (0.00) 0.001 (0.00) EnteringBankBalancei,t × C EnteringBankBalancei,t × AT Indebtedi,t 0.160*** (0.03) 0.087** (0.04) -0.021 (0.04) Indebtedi,t × C Indebtedi,t × AT it−1 4.119*** (0.31) 3.122*** (0.36) -3.427*** (0.33) it−1 × C it−1 × AT 17 logQt−1 0.338*** (0.02) 0.029 (0.02) -0.029 (0.02) logQt−1 × C logQt−1 × AT EnteringAssetHoldingsi,t EnteringAssetHoldingsi,t × C EnteringAssetHoldingsi,t × AT Controls N N g g min g max g avg chi2 No 7262 157 22 67 46.25 60768.0 No 7262 157 22 67 46.25 5.570 No 7262 157 22 67 46.25 140.2 No 7262 157 22 67 46.25 1879.6 No 6519 157 19 58 41.52 2914.4 (6) -0.000 (0.00) 0.000 (0.00) 0.000 (0.00) 0.001 (0.02) 0.058*** (0.02) 0.029 (0.02) -0.308* (0.16) 0.519*** (0.16) 0.218 (0.17) 0.018** (0.01) -0.008 (0.01) -0.013 (0.01) 0.003*** (0.00) -0.002 (0.00) -0.003** (0.00) Yes 6407 157 17 58 40.81 221298.0 (7) 0.014 (0.02) 0.061*** (0.02) 0.000 (0.00) -0.000 (0.00) -0.000 (0.00) 0.005 (0.02) 0.055*** (0.02) 0.018 (0.02) -0.187 (0.17) 0.532*** (0.17) 0.142 (0.17) 0.023*** (0.01) -0.009 (0.01) -0.024** (0.01) 0.004*** (0.00) -0.003** (0.00) -0.006*** (0.00) Yes (1) 3.500*** (0.02) 3.704*** (0.02) D Panel B: Output Demand Decisions Ci,t (2) (3) (4) (5) (6) (7) Yes 6517 157 19 58 41.51 1100.5 Yes 0.002*** (0.00) -0.002*** (0.00) 0.002** (0.00) -0.099* (0.05) 0.008 (0.07) 0.074 (0.08) 4.683*** (0.63) 5.605*** (0.81) -3.347*** (0.71) 0.592*** (0.04) 0.018 (0.05) -0.052 (0.05) No 6407 157 17 58 40.81 215543.2 No 7255 157 22 67 46.21 70192.8 No 7255 157 22 67 46.21 112.5 No 7255 157 22 67 46.21 9.039 No 7255 157 22 67 46.21 493.9 (I) This table presents results from panel-data linear models fit using feasible generalized least squares, to allow estimation in the presence of AR(1) autocorrelation with panels and heteroskedasticity across panels. *p < 0.10, **p < 0.05, and ***p < 0.01. Appendix D: Convergence Following Duffy (2014), we estimated the following equation for each session j: yj,t = λj yj,t−1 + µj + j,t , where yj,t is either the median output demanded or the median labor supplied and j,t is a random error term with mean zero. When the equations are estimated, it is possible µ̂ to test for weak convergence if |λ̂j | ≤ 1 and strong convergence if j is not significantly 1−λ̂j different from the steady state values. The results of the estimation are shown in the following table: Table 9: ConvergenceI Median Labor Supply Session B1 B2 B3 B4 B5 B6 NI1 NI2 NI3 NI4 NI5 NI6 C1 C2 C3 C4 C5 C6 AT1 AT2 AT3 AT4 AT5 AT6 Median Output Demand µ̂j λ̂j λ̂j 1−λ̂j µ̂j 1−λ̂j (Weak Conv.) (Strong Conv.) (Weak Conv.) (Strong Conv.) 0.658* 0.569* 0.408* 0.497* 0.507* 0.317* 0.624* 0.443* 0.267* 0.583* 0.388* 0.405* 0.657* 0.191* 0.591* 0.464* 0.568* 0.328* 0.577* 0.482* 0.337* 0.44* 0.526* 0.092* 2.324* 2.334* 2.956 2.153* 2.482 4.003 2.789 2.868 2.218* 2.486 2.378 1.809 2.441 2.265* 2.84 2.48 3.151 2.781 2.129* 2.447* 2.273* 2.349 2.225* 2.127 0.553* 0.428* 0.073* 0.542* 0.674* 0.549* 0.462* 0.548* 0.017* 0.212* 0.269* 0.231* 0.611* 0.412* 0.852* 0.533* 0.119* 0.218* 0.669* 0.19* 0.222* 0.579* 0.26* 0.629* 45.469 72.234 41.552 32.757 44.975 41.938 44.418 44.789 24.315 49.514 33.043 20.465 34.491 39.157 50.043 46.154 31.388 35.049 53.813 51.076 42.411 51.519 30.636 38.054 (I) The results from the estimation of yj,t = λj yj,t−1 + µj + j,t are displayed in the table for each session j. In columns 2 and 4 for each session, * indicates that we can reject λ̂j ≥ 1 at a 5 percent level. For strong convergence (columns 3 and 5), * implies that we cannot reject µ̂j 1−λ̂j = SS at a 5 percent level using a Wald Test. 18 Appendix E: Vector Autoregression (VAR) Table 10: VARI Dep Var. Nt−1 −NSS NSS Nt−2 −NSS NSS it−1 −iSS iSS B1 B2 B3 B4 B5 B6 -0.06 0.04 0.4 -0.09 0.57 0.21 -0.34 0.02 -0.31 0.03 -0.06 -0.12 -0.12 -0.08 0.05 -1.44 -0.1 0 NI1 NI2 NI3 NI4 NI5 NI6 0 0.85* 0.1 0.33 0.19 0.05 0.3 0.29 -0.35 0.01 -0.06 0.41 C1 C2 C3 C4 C5 C6 0.44 0.42 0.44 0.22 0.29 0.38 AT1 AT2 AT3 AT4 AT5 AT6 0.06 0.35 -0.12 0.24 0.54* 0.76*** 19 Sessions Ind Var. Nt −NSS NSS it−2 −iSS iSS A πt−1 A πt−2 Nt−1 −NSS NSS Nt−2 −NSS NSS it−1 −iSS iSS it −iSS iSS it−2 −iSS iSS -0.66 -0.23 2.12 -1.48 2.15 0.67 0.18 -1.19 -1.5 0.27 -0.61 0.43 1.49 3.79 0.87* -3.83 -1.48 0.96* πt−1 πt−2 -0.05 0.04 -0.05 0.66 0 0.02 2.69 3.19 -1.57 31.94 2.16 1.43 6.75 0.19 0.86 1.04 2 -0.33 3.07 -16.60* -0.53 -2.95 2.29 -0.23 -1.62 8.22* 0.41 1.49 -0.98 0.14 -66.05 358.6* 11.08 62.43 -48.92 7.07 1.84 0.31 -0.85 0.06 -3.08 -2.16 0.08 0.17 0 0.07 0 0.01 -0.11 0.42 0.03 0.08 -0.04 0 -1.72 2.46 -1.84 2.39 1.23 -0.19 3.73 0.76 -0.08 -1.95 1.23 2.86* 0.27 0.18 -0.22 0.14 0.09 0.41 0.32 3.76 0.59 6.96 -2.92*** -2.24 -0.21 -1.88 -0.28 -3.41 1.46*** 1.08 -6.22 -81.54 -11.9 -148.4 66.48*** 49.62 -0.27 0.13 0.77 -2.04 -0.78 0.48 0.01 -0.33 -0.03 -0.03 0.07 0.12 0 -0.16 0.1 0.05 0.01 0.02 1.47 3.36 2.92* -1.14* 1.77 1.59 -0.02 0.17 -0.02 0.18 0.04 -0.24 0 -0.07 -0.12 -0.06 0 -0.02 0 0.03 0.1 0.05 0.03 0.01 1.43 2.03 2.84 0.89 -1.46 -2.17 0.52 0.07 -1.26 -0.18 -0.16 3.24 -0.01 0.13 0.17 0.15 -0.06 0.02 0.01 -0.03 0.01 -0.06 -0.03 0 -6.28 2.02 -0.51 2.01 -2.81 -0.25 SS SS A πt−1 A πt−2 -4.55 11.68 6.3 6.65 -15.25 -20.60* 0.24 1.48 -0.16 *0.71* 0.06 0.14 -0.57 0.79 0.49 *0.73** -0.2 -0.03 -815.3 41.03 219.3 -51.47 90.77 96.56 -12.06 5.24 3.69 2.95 7.25 -1.61 0.04 -1.67 -0.03 0.02 0.03 -0.07 0 -1.04 0.06 0.07 0.15 0.32 52.63 33.19 17.55 59.57* -5.77 46.02* 6.89 13.73 -6.92 26.27 12.4 5.6 0.52 1.54 0.96 2.31* -0.15 2.24 0.12 0.17 -0.18 0.06 -0.01 -0.48 πt−1 πt−2 -0.68 -1.43 -0.59 1.79 0.72 -0.13 -12.62 -60.09 -10.04 99.22 46.88 -11 6.52 -0.75 20.30* 6.53 8.48 -6.23 9.88 -20.34 -48.46* -24.62 8.71 8.05 -4.68 9.51 23.97* 12.62 -3.65 -3.56 -193.8 443.6 1049.7* 533 -173.7 -139.3 -0.07 1.47 -0.31 1.16* 0.94 2.95** 38.97 -1.92 -9.44 3.54 -3.45 -4 -19.18 0.9 4.73 -1.55 1.67 2.26 -1.8 -3.45 -0.51 -0.88 -0.89 -1.73 -0.24 -0.54 -0.15 -1.62** 0.43 -1.02 0.24 0.38 0.54 -0.08 -0.13 0.92 −N (I) *p < 0.10, **p < 0.05, and ***p < 0.01. N N , i−i , π, and π A are percentage deviation of total labor hired from the steady state, percentage deviation of interest rate from the steady state, SS iSS output price inflation and asset price inflation, respectively. Table 11: VAR (Continuation)I Dep Var. Nt−1 −NSS NSS Nt−2 −NSS NSS it−1 −iSS iSS πt it−2 −iSS iSS πt−1 πt−2 B1 B2 B3 B4 B5 B6 -0.04 -0.01 0.07 -0.07 0.08 0.03 0.02 -0.06 -0.03 0.01 -0.03 0 0.05 0.16 0.02 -0.2 -0.07 0.02 -0.03 -0.07 -0.03* 0.08 0.03 -0.01 -0.55 -2.87 -0.44 4.52 1.83 -0.53 0.25 -0.04 0.59 0.32 0.36 -0.17 NI1 NI2 NI3 NI4 NI5 NI6 -0.08 0.11 -0.09 0.11 0.06 -0.01 0.17 0.04 0 -0.09 0.05 0.14* 0.46 -0.93 -2.29* -1.17 0.39 0.37 -0.23 0.42 1.12* 0.59 -0.17 -0.17 -9.49 19.71 49* 24.73 -8.22 -6.78 C1 C2 C3 C4 C5 C6 0.07 0.16 0.13* -0.05* 0.08 0.07 0 0.07 -0.01 0.05* 0.05 0.14** 1.78 -0.14 -0.45 0.13 -0.17 -0.22 -0.89 0.06 0.21 -0.07 0.07 0.11 AT1 AT2 AT3 AT4 AT5 AT6 0.02 0.05 -0.05 0 0.04 0.02 -0.03 -0.02 0.02 0.01 -0.04 -0.02 0 0 -0.05 0 0 -0.01 0 0 0.04 0 0 0.01 Sessions Ind Var. 20 SS SS Nt−2 −NSS NSS it−1 −iSS iSS πtA it−2 −iSS iSS πt−1 πt−2 A πt−1 A πt−2 A πt−1 A πt−2 Nt−1 −NSS NSS -0.2 0.54 0.3 0.31 -0.7 -0.99* 0.01 0.07 -0.01 0.03* 0 0.01 -0.03 0.04 0.02 0.03** -0.01 0 2.7 -0.67 -0.98 0.87 -6.22*** 1.27 -4.02* -0.1 1.23 2.02* -1.05 0.01 16.95 0.63 -10.02 3.63 -17.42 3.82 -8.71 0.04 4.88 -2.07 9.44 -2.29 -373 -9.98 215.9 -81.75 396.8 -84.33 20.02 -8.96* -0.49 1.27 -8.1 12.38 0.12 -0.08 0.05 -0.09 -0.16 -0.32 -0.27 0.02 -0.24 -0.19 0.04 -0.31 -37.8 2.51 9.85 -2.24 3.84 4.62 -0.56 0.24 0.17 0.14 0.33 -0.08 0 -0.08 0 0 0 0 0 -0.05 0 0 0.01 0.02 4.12 -0.02 0.02 -0.17 0.03 0.34 -6.89 0.22 -0.65 -0.52 -0.35 -0.71 252.1* 4.35 13.21 -52.58 0.4 7.69 -127.5* -2.11 -6.37 26.51 -0.05 -3.95 -5492.4* -92.28 -284.1 1138.9 -9.34 -165.5 112.8 -3.39 -11.69 -12.09 -2.18 4.85 -0.08 0.01 -0.21 0.13 -0.15 -0.14 -0.02 -0.23 -0.75 -0.17 -0.08 0.02 0.3 0.09 1.4 0.12 0.18 0.54* 0.23 0.27 -0.38 -0.05 0.21 0.14 0 0.01 0.08 0 -0.01 0.02 0 0 -0.01 0 0.01 -0.02 -4.83 -0.2 0.3 1.02 -1.64 0.23 1.91 -0.58 -0.58 -0.53 -1.33 -1.24 -0.502* -0.72*** 0.4 -1.41*** 0.03 -0.79** 0.24 0.36* -0.21 0.06 -0.08 0.36* 20.4 18.58*** -10.42 35.62* 0.58 18.46** -4.06 -0.39 0.81 17.05 11.46 7.81 0.29 1.03** -0.66 1.86*** -0.1 0.98* -0.09 0.07 -0.05 0.04 -0.02 -0.07 −N (I) *p < 0.10, **p < 0.05, and ***p < 0.01. N N , i−i , π, and π A are percentage deviation of total labor hired from the steady state, percentage deviation of interest rate from the steady SS iSS state, output price inflation and asset price inflation, respectively. Appendix F: Asset Market Figure 1: Asset Markets Activity, by Session (Left Axis: Asset Price, Right Axis: Units of Trade) NI1 C1 10 8 10 40 4 5 2 0 10 20 0 40 30 20 5 0 0 0 10 20 10 40 4 5 10 8 15 20 25 5 4 0 0 6 4 6 4 2 2 0 10 20 30 40 20 30 0 0 10 8 6 4 8 3 6 4 0 10 20 30 40 0 0 10 20 8 15 6 4 2 0 0 0 0 0 10 20 30 Period NI5 3 80 60 40 20 40 50 30 40 10 20 2 4 10 1 10 2 5 0 0 0 0 0 10 20 30 40 5 10 40 0 10 0 5 0 10 20 30 Begin sequence SS FV 0 20 10 0 10 20 30 40 50 0 10 5 0 10 20 30 40 50 15 0 8 6 40 50 0 4 5 0 2 0 20 Period Period Asset Price 50 10 5 30 40 Period AT6 20 15 2 30 15 20 10 20 0 Period C6 4 10 2 Period AT5 30 Period NI6 0 4 Period C5 100 0 6 6 5 40 0 40 8 10 30 30 10 2 20 20 Period AT4 4 10 10 4 1 0 0 8 2 0 5 10 2 20 10 4 2 0 0 15 8 4 10 40 6 5 2 0 30 10 Period C4 10 0 20 Period AT3 10 Period NI4 0 10 Period C3 8 10 0 2 Period NI3 10 0 2 6 2 2 10 0 Period AT2 6 6 0 30 10 8 5 4 40 Period C2 10 0 6 20 Period NI2 0 80 60 10 6 0 AT1 15 40 60 0 Period Dynamic FV Trade volume Notes: Asset price is shown on the left axis. Trade volume is shown on the right axis (grey bars). The red line is the dynamic fundamental value. The black dashed line is the fundamental price of the asset. The vertical dotted black lines represent the beginning of new sequences. 1 21 Figure 2: Asset Prices by Treatment (All sessions) No Intervention 40 30 20 0 20 40 Period 60 0 AT1 AT2 AT3 AT4 AT5 AT6 FV 60 40 20 10 20 0 C1 C2 C3 C4 C5 C6 FV Asset Price 22 Asset Price 60 40 Asset Price NI1 NI2 NI3 NI4 NI5 NI6 FV 80 Asset Targeting Constrained 0 20 40 Period 60 0 0 20 40 Period 60 Figure 3: Asset Prices Statistics by Treatment (All sessions) 23 Appendix G: Labor Supply and Output Demand per Session Figure 4: Labor supply (left column) and output demand (right column), Benchmark treatment B1 B1 8 100 80 60 40 20 6 4 2 0 20 40 60 0 20 40 Period B2 60 Period B2 8 100 80 60 40 20 6 4 2 0 20 40 0 60 20 40 60 Period B3 Period B3 100 80 60 40 20 8 6 4 2 0 20 40 60 0 80 20 40 60 80 Period B4 Period B4 8 100 80 60 40 20 6 4 2 0 20 40 60 80 100 0 20 40 Period B5 60 80 100 Period B5 100 80 60 40 20 8 6 4 2 0 10 20 30 40 50 60 0 70 10 20 30 40 50 60 70 50 60 70 Period B6 Period B6 100 80 60 40 20 8 6 4 2 0 10 20 30 40 50 60 0 70 10 20 30 Median Average 40 Period Period Begin Sequence 1 24 Experienced Steady State Figure 5: Labor supply (left column) and output demand (right column), NI treatment NI1 NI1 8 100 80 60 40 20 6 4 2 0 20 40 60 80 0 20 Period NI2 40 60 80 Period NI2 8 100 80 60 40 20 6 4 2 0 20 40 60 0 80 20 40 60 80 Period NI3 Period NI3 100 80 60 40 20 8 6 4 2 0 20 40 60 0 80 20 40 60 80 Period NI4 Period NI4 8 100 80 60 40 20 6 4 2 0 20 40 60 80 100 0 20 Period NI5 40 60 80 100 Period NI5 8 100 80 60 40 20 6 4 2 0 20 40 60 80 0 100 20 40 60 80 100 Period NI6 Period NI6 100 80 60 40 20 8 6 4 2 0 20 40 60 0 80 Average 40 60 80 Period Period Median 20 Begin Sequence 25 Experienced Steady State Figure 6: Labor supply (left column) and output demand (right column), C treatment C1 C1 8 100 80 60 40 20 6 4 2 0 20 40 60 80 100 0 20 40 Period C2 60 80 100 Period C2 8 100 80 60 40 20 6 4 2 0 20 40 60 80 0 100 20 40 60 80 100 Period C3 Period C3 100 80 60 40 20 8 6 4 2 0 20 40 60 80 0 100 20 40 60 80 100 Period C4 Period C4 8 100 80 60 40 20 6 4 2 0 20 40 60 80 100 0 20 40 Period C5 60 80 100 Period C5 8 100 80 60 40 20 6 4 2 0 20 40 60 80 0 100 20 8 6 4 2 20 40 60 80 100 80 60 40 20 100 0 Average 80 100 20 40 60 80 Period Period Median 60 Period C6 Period C6 0 40 Begin Sequence 26 Experienced Steady State 100 Figure 7: Labor supply (left column) and output demand (right column), AT treatment AT1 AT1 8 100 80 60 40 20 6 4 2 0 20 40 60 80 0 20 40 Period AT2 60 80 Period AT2 8 100 80 60 40 20 6 4 2 0 20 40 60 0 80 20 40 60 80 Period AT3 Period AT3 100 80 60 40 20 8 6 4 2 0 20 40 60 80 0 100 20 40 60 80 100 80 100 Period AT4 Period AT4 8 100 80 60 40 20 6 4 2 0 20 40 60 80 100 0 20 40 Period AT5 8 100 80 60 40 20 0 100 6 4 2 0 20 40 60 Period AT5 60 80 20 40 60 80 100 Period AT6 Period AT6 100 80 60 40 20 8 6 4 2 0 20 40 60 80 0 100 Median Average 20 40 60 80 100 Period Period Begin Sequence 27 Experienced Steady State Appendix H: Aggregate Variables per Session Figure 8: Average Output Produced B1 NI1 C1 AT1 60 60 60 60 40 40 40 40 20 20 20 20 0 0 0 0 20 40 60 0 20 40 Period B2 60 80 0 20 Period NI2 40 60 0 80 100 60 60 60 40 40 40 40 20 20 20 20 0 0 0 20 40 60 0 20 Period B3 40 60 80 0 50 Period NI3 0 100 0 60 60 60 40 40 40 20 20 20 20 0 0 0 40 60 80 0 20 Period B4 40 60 80 0 20 Period NI4 40 60 20 80 0 100 0 60 60 60 40 40 40 20 20 20 20 0 0 0 40 60 80 100 0 20 Period B5 40 60 80 100 0 50 Period NI5 0 100 60 60 60 40 40 40 20 20 20 20 0 0 0 40 60 0 20 Period B6 40 60 80 100 0 50 Period NI6 100 0 60 60 60 40 40 40 20 20 20 20 20 40 Period 60 0 0 20 40 60 0 80 0 Period Av. Output Produced 20 40 20 0 20 60 80 0 100 0 Period Begin Sequence 1 28 80 40 60 80 100 40 60 80 100 40 60 80 Period AT6 40 0 0 Period C6 60 0 60 Period AT5 40 20 20 Period C5 60 0 80 Period AT4 40 20 40 Period C4 60 0 60 Period AT3 40 20 40 Period C3 60 0 20 Period AT2 60 0 0 Period C2 Experienced 50 Period Steady State 100 100 Figure 9: Interest Rate (%) B1 NI1 C1 AT1 40 40 40 40 20 20 20 20 0 0 0 0 −20 0 20 40 −20 60 0 20 40 Period B2 60 −20 80 0 20 Period NI2 40 60 −20 80 100 40 40 20 20 20 20 0 0 0 0 20 40 −20 60 0 20 Period B3 40 60 −20 80 0 50 Period NI3 −20 100 0 40 40 20 20 20 20 0 0 0 0 −20 −20 −20 −20 40 60 80 0 20 Period B4 40 60 80 0 20 Period NI4 40 60 80 100 0 40 40 20 20 20 20 0 0 0 0 20 40 60 80 100 −20 0 20 Period B5 40 60 80 100 −20 0 50 Period NI5 −20 100 40 40 20 20 20 20 0 0 0 0 20 40 60 −20 0 20 Period B6 40 60 80 100 −20 0 50 Period NI6 100 −20 40 40 20 20 20 20 0 0 0 0 20 40 Period 60 −20 0 20 40 60 −20 80 Period Interest Rate (percent) 0 20 40 0 60 80 −20 100 0 Period Begin Sequence 29 1 80 40 60 80 100 20 Experienced 40 60 80 100 20 40 60 80 Period AT6 40 0 0 Period C6 40 −20 60 Period AT5 40 0 20 Period C5 40 −20 80 Period AT4 40 0 40 Period C4 40 −20 60 Period AT3 40 20 20 Period C3 40 0 40 Period AT2 40 0 20 Period C2 40 −20 0 50 Period Steady State 100 100 Figure 10: Inflation Rate (%) B1 NI1 C1 AT1 40 40 40 40 20 20 20 20 0 0 0 0 −20 0 20 40 −20 60 0 20 40 Period B2 60 −20 80 0 20 Period NI2 40 60 −20 80 100 40 40 20 20 20 20 0 0 0 0 20 40 −20 60 0 20 Period B3 40 60 −20 80 0 50 Period NI3 −20 100 0 40 40 20 20 20 20 0 0 0 0 −20 −20 −20 −20 40 60 80 0 20 Period B4 40 60 80 0 20 Period NI4 40 60 80 100 0 40 40 20 20 20 20 0 0 0 0 20 40 60 80 100 −20 0 20 Period B5 40 60 80 100 −20 0 50 Period NI5 −20 100 40 40 20 20 20 20 0 0 0 0 20 40 60 −20 0 20 Period B6 40 60 80 100 −20 0 50 Period NI6 100 −20 40 40 20 20 20 20 0 0 0 0 20 40 Period 60 −20 0 20 40 60 −20 80 Period Inflation Rate (percent) 0 20 40 0 60 80 −20 100 0 Period Begin Sequence 30 1 80 40 60 80 100 20 Experienced 40 60 80 100 20 40 60 80 Period AT6 40 0 0 Period C6 40 −20 60 Period AT5 40 0 20 Period C5 40 −20 80 Period AT4 40 0 40 Period C4 40 −20 60 Period AT3 40 20 20 Period C3 40 0 40 Period AT2 40 0 20 Period C2 40 −20 0 50 Period Steady State 100 100 Figure 11: Real Wage B1 NI1 C1 AT1 60 60 60 60 40 40 40 40 20 20 20 20 0 0 20 40 0 60 0 20 40 Period B2 60 0 80 0 20 Period NI2 40 60 0 80 100 60 60 40 40 40 40 20 20 20 20 20 40 0 60 0 20 Period B3 40 60 0 80 0 50 Period NI3 0 100 0 60 60 40 40 40 40 20 20 20 20 0 0 0 40 60 80 0 20 Period B4 40 60 80 0 20 Period NI4 40 60 80 0 100 0 60 60 40 40 40 40 20 20 20 20 20 40 60 80 100 0 0 20 Period B5 40 60 80 100 0 0 50 Period NI5 0 100 60 60 40 40 40 40 20 20 20 20 20 40 60 0 0 20 Period B6 40 60 80 100 0 0 50 Period NI6 100 0 60 60 40 40 40 40 20 20 20 20 20 40 60 0 0 20 Period 40 60 0 80 Period Real Wage 0 20 40 0 60 80 0 100 0 Period Begin Sequence 31 1 Experienced 80 40 60 80 100 20 40 60 80 100 20 40 60 80 Period AT6 60 0 0 Period C6 60 0 60 Period AT5 60 0 20 Period C5 60 0 80 Period AT4 60 0 40 Period C4 60 0 60 Period AT3 60 20 20 Period C3 60 0 40 Period AT2 60 0 20 Period C2 60 0 0 50 Period Steady State 100 100 Appendix I: Computer Interfaces Figure 12: Main screen 32 Figure 13: Personal history screen 33 Figure 14: Market history screen 34 Figure 15: Asset market history screen 35 Appendix J: Instructions The instructions distributed to subjects in all the treatments (B, NI, C and AT) are reproduced on the following pages. Subjects received the same set of instructions except that those in the B treatment did not get the last page with the title “Introduction of Assets and Asset Market.” Subjects in the NI and AT received identical instructions. In third paragraph of the “Introduction of Assets and Asset Market” for the NI and AT treatments said, “You may also borrow money, at the current interest rate, to purchase any assets.” This paragraph for the C treatment said, “You will not be able to borrow money to purchase any assets.” 36 INTRODUCTION You are participating in an economics experiment at the University of British Columbia. The purpose of this experiment is to analyze decision making in experimental markets. If you read these instructions carefully and make appropriate decisions, you may earn a considerable amount of money. At the end of the experiment all the money you earned will be immediately paid out in cash. Each participant is paid 5 CAD for attending. During the experiment your income will not be calculated in dollars, but in points. All points earned throughout this game will be converted into CAD by applying the exchange rates found on the whiteboard. During the experiment you are not allowed to communicate with any other participant. If you have any questions, the experimenter(s) will be glad to answer them. If you do not follow these instructions you will be excluded from the experiment and deprived of all payments aside from the minimum payment of 5 CAD for attending. You will play the role of a household over a sequence of several periods (trading days). You will be interacting with other human consumers. There will be also computerized firms and a central bank operating in this experimental economy. In this experiment, you will have the opportunity to work and purchase output in two markets. All transactions in all markets will be conducted using laboratory money. OVERVIEW The objective of each player is to make as many points as possible. You will receive points for purchasing more units of output in your bank account. You will lose points by working. You may borrow and save at the current interest rate. LABOR & OUTPUT MARKETS At the top of the screen you’ll see a graph representing the different combinations of output (x-axis) and labor (y-axis) you can choose. Each of the different combinations defines: A current hourly wage A current price for a single unit of output This information will be located on the right hand side of the graph. Notice that these 2 pieces of information are only potential outcomes. The actual outcomes will be computed based on everyone’s actual choices. You may agree to trade none, some or all of your labor hours to firms in exchange for potential wage. You will input the very maximum you would like to work. You may end up working less than your desired amount, but you will never work more than that. You are able to work a maximum of 10 hours per period and may also work fractions of an hour, up to 1 decimal place. eg. 4.3 or 7.2 hours. Each worker is able to produce 10 units per hour and this will never change. Wage income will be deposited from your bank account. You may also choose to purchase output. You will input the very maximum you would like to purchase. You may end up purchasing less than your desired amount. Spending on output will be debited from your bank account. You will also receive a dividend from firms that will also help you to pay for the varieties you will purchase. This is an equal share of the positive or negative profits the firms earned in the current period. To better understand how your labor and consumption decisions translate into points and how the balance on your bank account changes, you will have the opportunity to move the red dot to your preferred point on the payoff space. Notice that as you increase the amount of labor, you will lose points at an increasing rate. As you increase the amount of output, you will gain points at a decreasing rate. Actual wage, output price and the interest rate will be computed based on your choices and everyone else’s choices. That’s why you will be able to move around 2 different dots, the red one that represents your own decisions and the green one that characterizes the average of everyone else’s choices. This way you will visualize different predictions on wages and prices for different combinations of aggregate consumption and aggregate labor. ** You will have an initial balance of 10 experimental units of money on your bank account. Whenever your bank account is negative, ie. you spent more than you earned, you will owe the bank the remainder PLUS interest in the next period. So long as you pay the interest on your debt, you may continue to borrow. Any money owing at the end of the experiment will be repaid through points. In particular, you will lose: ( you will gain: ) . Similarly, If your bank account has a positive balance at the end of the experiment ( ) . **If your bank account is positive, you will receive interest on the saving in your bank account. This will be credited to your account in the next period. After all subjects submit their labor, consumption, and investment decisions, firms will decide how many hours to hire. Wage and output price will be computed. There will be no unsold output. If the total number of labor hours supplied in the economy is in excess of what is necessary to satisfy consumers’ output demands, firms will hire fewer hours and you may find yourself working a fraction of the hours you requested. Similarly, if the worker supplied hours is insufficient to cover consumer demand, you may find yourself able to purchase only a fraction of the output you requested. As you purchase more units, you will gain more points but at a decreasing rate. As you work more hours, you will lose more points at an increasing rate. You do NOT obtain points from your holdings of cash. Worker Points = (Points Gained from Consuming – Points Lost from Working) The interest rate at which you spend or save will depend on inflation. Particularly, for every 1% that prices increase from yesterday, the automated central bank will increase the borrowing and saving rate by more than 1%. Over the long run, the central bank will aim to keep the interest rate around 3.5%, but it will fluctuate as inflation on output occurs. Lower interest rates make it cheaper to borrow but more challenging to accumulate savings, and vice versa. Notice that interest rate might also be negative. In that case you will lose money by saving and gain money by borrowing. Each sequence will have a random number of periods determined by a continuation rate of 0.965. That is, there is a 3.5% chance of a period ending at any period. To make the termination rule as transparent as possible, the experimenter will carry a bag containing 200 marbles, 193 of them are blue and only 7 of them are green. Each period a marble will be drawn. If a blue marble is drawn the sequence will end, otherwise the sequence will continue. You will play multiple sequences. On average you will play 28 periods in each sequence. Screens Throughout the experiment you will have a chance to flip back and forth between 4 different screens: 1) Action Screen. - This is the main screen. This screen is divided in two: a) On the left hand side of the screen you’ll find a graph that represents all possible combinations of labor and output. On the graph you’ll see two different dots. The red one represents your own choices. By moving around the red dot you will be able to visualize the points you might earn by selecting different combinations of labor and output. The green dot denotes the average values of output and labor of the rest of the participants. By moving around both dots you’ll have a better sense on how your choices as well as everyone else’s decisions affect the potential wage and output price of the economy. Your predicted banking account balance (without interest rate) will be also displayed. Notice that by positioning the dots together you will be assuming that everyone else’s choices are the same as yours. b) On the right hand side of the screen (SUBMIT YOUR DECISIONS) you will have to enter your final choices on output and labor. Immediately after everyone submits their decisions, the total amount of output and labor will be computed. 2) Personal History.- You will find a summary of your previous decisions on consumption, labor, as well as the points you earned and your bank account balance. 3) Market History. - On this screen you will be able to observe information on interest rates and inflation rate from previous periods. Information on total output and labor is also included. Some useful Information ( ) ( ) INTRODUCTION OF ASSETS AND ASSET MARKET All subjects will now receive 10 shares of an asset at the beginning of the next experiment. Each period you will get 3.6 cent of lab currency per asset. That means that the average value of each unit of asset is: 1. At the end of each sequence you will not receive money for the assets you hold. You will incur no cost to holding the asset but no benefits either. Remember the only way you will make points in this experiment is by purchasing the output. All other features of the economy remain identical to the previous experiment. All subjects may trade this asset costlessly in an asset market. You may specify how many units you wish to buy or sell in the asset at a specified price. Note that you cannot sell more shares that you currently own (ie. no short-selling). In a given period, you may either buy or sell, but not both. All submitted offers to buy (bids) and offers to sell (asks) will be used to determine a single market clearing price. All offers to buy at a price higher than the clearing price will be transacted at the lower clearing price. Similarly, all offers to sell at a price below the market clearing price will be transacted at the higher clearing price. Earnings from selling units of the asset will be deposited to your bank account. Spending on the asset will be debited from your bank account. You will retain any assets that you hold into the next period. You may also borrow money, at the current interest rate, to purchase any assets. The action screen will now include an option for you to preview your asset decisions: 1) Asset Market. - On this screen you will find the average number of assets and prices that were offered to buy (bids) or to sell (asks) in each one of the previous periods. It is important to notice that this information may not coincide with the actual information on prices and traded assets, because the offers might not end up in trading. Sequence of Events Instruction Phase: Subjects are walked through detailed instruction (included in the Appendix) regarding the tasks they will be completing. They are taught how to use the computer interface and obtain information in four practice rounds. During these practice rounds, we go over to each subject’s terminal and walk them through accessing information in the graphical interface. Inexperienced Experiment Phase: Figure 1. Flow chart for inexperienced subjects and benchmark treatment. We then begin the first repetition of the experiment. The flow chart above describes the sequence of events in a given period. Step 1: The repetition begins. Bank accounts are reset to 10 lab dollars and points are reset to zero. Last period’s prices are set to the steady state values, but wages, prices, and interest rates are free to adjust in response to subjects’ decisions. Step 2: At the beginning of Period 1, subjects submit their preferred maximum number of units to purchase and hours to work. They do not know what the market wage or price will be (that depends on the decisions that they make), but they can obtain that information by using the graphical interface. By moving markers representing their own decisions and the median decision of others, they can learn what wages, prices, their utility, and bank account balances will be under their assumptions of their behaviour and everyone else’s. Step 3: After all decisions are submitted, total output demand and labor supply are calculated. If total output demand exceeds what can be produced with the total labor supply, there is an excess demand for output. In this case, all workers will receive the number of hours of work that they would like. Output must be rationed. Subjects receive first priority on the units of output that they produced by working. If they do not wish to consume all the units, they will be made available, randomly, to other subjects who have a personal ‘excess demand for output’; that is, they want to consume more than they are producing from working. In cases where there is an excess supply of labor, workers will immediately receive the number of units they would like to purchase. Labor hours must be rationed. A subject is automatically given the hours associated with his or her output demand (for example, if Jill is willing to buy 80 units, she can immediately have 80/10=8 hours of labor if she so desires). If the subjects do not wish to work as much as they are offered, those excess hours are given randomly to subjects who have an excess demand for labor. The median labor and consumption decisions are used in the calculation of wages, prices, and the nominal interest rate. Specifically, if the economy has excess demand for output (labor), the median labor (consumption) decision will be used. Step 4: Subjects receive information about the number of hours they worked, units they were able to purchase and consume, their bank account balances, and their utility points earned. They also learn about the labor and output markets: how many hours were hired and how much people consumed, wages, prices, and the nominal interest rate. Step 5: A random draw occurs to determine whether the economy will continue onto the next round. With a probability of β, the economy continues for another period. The game returns to Step 2. Subjects carry over any cash balances from the previous period. Interest is accrued either on saving or debt, and the adjustment appears on their bank balance at the beginning of the next period. With a probability of 1-­‐ β, the economy ends and the game continues to Step 6. Step 6: Subjects’ points are adjusted based on the amount of cash or debt that they hold at the end of a repetition. If the subject’s bank account is positive, he or she will have to spend the remaining cash and will receive additional points -­‐-­‐ but at a decreasing rate -­‐-­‐ for each laboratory dollar held. If the bank account is negative, he or she will have to work to repay the debt, given the last period’s wages and prices, and will lose points at an increasing rate. After the repetition ends, a new repetition begins. Experienced Experiment Phase: After subjects have played for approximately 1 hour and a repetition ends, subjects will enter the experienced experiment phase. Now we classify subjects as ‘experienced’. They participate in one of three treatments for the remaining 1 to 1.5 hours: 1. Benchmark treatment (B) -­‐-­‐ They continue to play the same experiment that they were already participating in. 2. No Intervention treatment (NI) -­‐-­‐ Subjects are provided assets which they can now trade in an asset market in addition to making consumption and labor decisions. Subjects may borrow for speculative purposes. 3. Constraint treatment (C) -­‐-­‐ Subjects are provided assets which they can trade in addition to making consumption and labor decisions, but they may not borrow for speculative purposes. 4. Asset Inflation Targeting treatment (AT) – Subjects are provided assets which they can trade in an addition to making consumption and labor decisions. Subjects may borrow for speculative purposes. In contrast to the NI treatment, the nominal interest rate now responds to asset price inflation. The flow chart below depicts the sequence of events in the asset market treatments. Step 2: The only significant change is that subjects can submit bids and asks in a call market for the asset. They also have access to a calculator that shows them what will happen to market variables (wages and goods prices), their utility, and bank accounts when they make transactions at specific prices. Step 3: The assets are traded in a call market. The market clearing asset price is determined by the intersection of supply and demand. Step 4: In addition to learning about personal and real market outcomes, the subjects learn about activity in the asset market. In particular, they learn what the bid and ask volume were, the average bids and asks, the market clearing price, and number of units traded. Each period, subjects receive dividends of 3.5 cents for each unit of the asset they are holding. Step 5: Same as before. Subjects can also carry their asset balances over to the next period. Step 6: Same as before. Subjects do not earn anything at the end of the experiment for the assets that they are holding besides the period dividend payment. Figure 2. Flow chart for asset market treatments References Calvo, Guillermo. 1983. “Staggered Prices in a Utility Maximizing Framework.” Journal of Monetary Economics, 12: 383–98. Carlstrom, Charles T., and Timothy S. Fuerst. 2007. “Asset Prices, Nominal Rigidities, and Monetary Policy.” Review of Economic Dynamics, 10(2): 256–75. Duffy, John. 2014. “Macroeconomics: A Survey of Laboratory Research.” Chapter prepared for the Handbook of Experimental Economics, Vol. 2. Stöckl, Thomas, Jürgen Huber, and Michael Kirchler. 2010. “Bubble Measures in Experimental Asset Markets.” Empirical Economics, 13: 284–98. 45