Consumer Risk Project Fifth Report Ivaylo Vlaev & Nick Chater Decision Technologies Group Department of Psychology, University of Warwick, Coventry, CV4 7AL, United Kingdom, email: ivaylo.vlaev@psy.ox.ac.uk, nick.chater@warwick.ac.uk This report presents two related studies. The first study investigates how much the context affects how people make financial decisions, while the second study will investigate consumers’ understanding of financial risk related to retirement savings and investment. STUDY I Testing the validity of the prospect relativity principle in real financial decision making task The goal of this experimental study was to make a provisional estimate of the degree to which the kinds of effects that are revealed in the pilot data could be applicable to real financial advice contexts. Key issues include: How does the range of options people choose between affect the level of pension investment they choose? How does the range of options people choose between affect the level of risk they accept with that investment? The full experimental study followed the design of Experiment 1 in the pilot study, but modified in a number of ways, to increase relevance to real-world financial advice: In particular, we run the experiments with the following modifications and elaborations of the design: 1) The study was conducted on a sample of working people, rather than university students (this was not, though, a large or broad enough sample to be fully representative of the population at large). In other words, we used sample of participants who are more realistic to be consumers of financial advice than the student population used in our studies (e.g., people who are already working, have a family, and need to save for retirement pension provision). 2) The financial outcome options (e.g., expected annuity values) were calculated using more plausible financial assumptions (like inflation, risk free rate, risk premium rate, etc.) when creating the test materials, and also we changed some of the descriptions of the risky assets (e.g., not explicitly mentioning the types of the assets like bond or equities, and also not offering any form of guaranteed return). 3) In the light of the important discussion raised at our meetings, we took account of financial affordability, as a constraint on people's choice of pension. We created a financial affordability test, which categorised people according to their individual financial circumstances and then measured whether the context effects are of the same magnitude as in the pilot tests with students. Additional purpose of the financial affordability test was to make the experimental situation look more realistic for the participants by asking them concrete questions about their real life financial circumstances and problems. Thus by explicitly focusing their attention on their real life struggles at the beginning of the experimental session, we expected people to provide more adequate and valid responses to our saving and investment questions. Financial Affordability Questionnaire The financial affordability questionnaire is presented in Appendix A and it has the following features: a) Question 2 asks people to estimate to what extend their current income (question 1) is sufficient to cover their necessities and to judge in percentage term whether, and by how much, this income is sufficient or insufficient to cover their expenses (e.g., I would be happy to earn around 20% more than my current salary). The participants also had to indicate how much they are able to save at the moment (question 3). b) In question 4, the participants were provided by a list of various types of spending and they had to answer how much of their current income is spend on each of these expenditures. In general, there were two types of expenditure examples – discretionary (e.g., leisure activities) and essential ones (e.g., food and rent) and we asked people to give estimates of their expenditure across these categories. c) Question 6 asks people whether they can give up some of their discretionary spending in order to increase their savings. Here the focus again was on the amount and type of current saving and discretionary spending, and hence the degree to which people can readily reallocate money towards a pension. Here we also aimed to test how important and essential some these discretionary expenditures are (e.g., some people might be unwilling to give up some types of social life, hobbies, sport activities, etc.). Participants were also informed that at the and of the experimental session if their average preferred savings rate is above their current savings as indicated in question 3, then they had to readjust some of their expenditures in question 4 so that to be able to provide the additional capital that is the lacking difference between their current and savings and the one indicated in the second part (in addition, question 5 separately asked what is the maximum amount that they would like to save per year). Prospect Relativity Test This experiment followed a similar logic to Stewart, Chater, Stott, & Reimers (2003) decision experiment, which was itself inspired by Garner's (1954) loudness judgment experiment. In various questions, the participants in our study were asked to select among a predefined set of values related to five variables: (a) the desired percentage of the annual income that will be saved for retirement, (b) the investment risk expressed as the percentage of the saving that will be invested in risky assets, (c) retirement age, (d) expected retirement income, and (e) possible variability of the retirement income. There was a control condition called a free choice condition, in which the participants had to freely decide the value of each one of these variables selecting from the full range of options. In two context conditions, participants were asked to select these values from sub-ranges of the set of options offered by the experimenter in the free choice condition. Thus, there were three between-participant conditions in the experiment presented here, i.e., with separate groups for the free choice, low range, and high range conditions. In the free choice condition, all options were presented. In two other conditions, the choice of prospects was limited to either the first or second half of the prospects available in the free choice condition, so that the participant in the high range condition were presented with a range of values the lowest of which coincides with the highest option in the low context condition. In the control condition for saving the options were presented in monetary terms and varied from 2% to 22% of the hypothetical salary (£25,000) increasing with 2% between the options; so there were eleven options to choose among, while the low range condition spanned from 2% to 12% and the high range condition was from 12% to 22%. The same design was applied for the other choice variables in the test. The values in the free choice condition for the other four key variables were the following. For investment risk the options varied from 0% to 100% and were increasing with 10% between the choice options. For retirement age the options were varied from 48 to 68 increasing with 2 years between the choice options. Table 1 presents the values for savings, risk, and retirement age in the three conditions. For the retirement income and its variability, the values were different for every question depending on the combination of saved amount, investment risk, and retirement age. Table 1. Figures for saved amount (£), investment risk (%), and retirement age in the three conditions of Experiment 1 Free Choice High Range Low Range Save Risk Retire Save Risk Retire Save Risk Retire 500 0 48 500 0 48 1,000 10 50 1,000 10 50 1,500 20 52 1,500 20 52 2,000 30 54 2,000 30 54 2,500 40 56 2,500 40 56 3,000 50 58 3,000 50 58 3,000 50 58 3,500 60 60 3,500 60 60 4,000 70 62 4,000 70 62 4,500 80 64 4,500 80 64 5,000 90 66 5,000 90 66 5,500 100 68 5,500 100 68 If a participant is not influenced by the set of options, then his or her choice of each value in the high and low range conditions should be independent of the other values in the set and the chosen values should be the nearest to his or her free choice. The key prediction is that if people are not influenced by the context (i.e., the other available options), then the lowest option in the high range condition should not be chosen significantly less often than the same option plus other options lower than it in the free choice condition (i.e., the options that are missing in the high range condition). In other words, the proportion of times the lowest option in the high range condition was selected should not be less than the total proportion of times the same option plus some other bellow it was selected in the free choice condition. This is because we assume that if people’s true preferences are represented by the results in the free choice condition, and their choices are not influenced by the context in the high range condition, then all participants that truly prefer the middle option (i.e., the one that is also the lowest option in the high range condition) or some option bellow it in the free choice condition would choose the lowest option in the high range condition. If the lowest option in the high range condition is selected less of the time than the same option plus some option below it in the free choice condition, then this result should be due to the effects of the choice set in the high range condition. In other words, the choice set is affecting the responses and inducing people to select higher options than they would have selected if they were in the free choice condition. The same logic applies for the low range condition. The key prediction there is that if people are not influenced by the context (i.e., the other available options), then the highest option in the low range condition should not be chosen less of the time than the same option plus some option above it was selected in the free choice condition (some option above means every option in the free choice condition, which was missing in the low range condition). Alternatively, if participants' responses are solely determined by the set of options presented to them, then the distribution of responses across options should be the identical for both the low and the high range conditions (and there will not be a tendency towards the distribution of responses in the free choice condition). Method Participants. There were 24 men with average age 36.5 and 40 women with average age 37. The Low Range Condition had 20 participants: 7 men (av. age 37) and 13 women (av. age 38); the Free Choice Condition had 21 participants: 9 men (av. age 33) and 12 women (av. age 36); and the High Range Condition had 23 participants: 8 men (av. age 40) and 15 women (av. age 36). Design. The questions were formulated as long-term saving/investment decision tasks related to retirement income provision. The participants had to make decisions about five key variables. These variables were the saved proportion of the current income, the risk of the investment expressed as the proportion invested in risky assets,1 the retirement age, the desired income after retirement, and the preferred variability of this income (variability is due to favourable and respectively unfavourable economics conditions). The experimental materials were designed as 10 independent hypothetical questions, in which we varied each of the five key variables. However five of the questions focused only on savings while the other five questions focused on risk and some questions showed how changing savings or risk would affect another variable or set of variables. For example, how changing the investment risk can affect the projected retirement income and its variability - with higher risk offering higher expected income on average, but also wider spread of the possible values.2 As an example here is a question in the free choice condition, in which the participants were asked to choose 1 There are various types of risky assets, like bonds and equities for example, but in reality these various investment vehicles differ mainly in their risk-return characteristics. Therefore, we simply described the characteristics of these two assets – the High Risk Asset and the Low Risk Asset, rather than labelling them explicitly as bonds and equities, although while setting the basis so that it is not out of line with typical assumptions made about actual assets. This aimed to avoid some of the potential challenges that might otherwise result and which could draw attention away from the results. 2 In order to derive plausible figures for the various economic variables we implemented a simple econometric model into a spreadsheets Monte Carlo simulator that calculates the likely impact of changes in each variable on the other four variables. For example, this model can derive what retirement income can be expected from certain savings, investment risk, and retirement age, or what are the possible potential investment options that could lead to the preferred retirement income. The sort of basis the professional actuaries suggested was 2.5% for Inflation, 1.5% real return on Low Risk asset, 4.5% real return on High Risk asset, and 15% annual volatility. Note also that all figures are in pounds and the participants knew this. It is important to stress that all figures shown were in today's money terms (i.e. after taking out the effects of inflation). This is important when comparing figures for different retirement ages. their preferred level of investment risk by selecting one of the rows in the table bellow (note that in this format the key variable is in the first column of the table bellow while the other columns are showing the effects on the other variables like the minimum, average, and maximum retirement income shown here3): Assume that you will retire at 65 and decided to save 11 percent of your current salary (£2750) in order to provide for your retirement income. The following options offer different ranges of retirement income (in pounds) depending on the percentage of your savings allocated to shares (in the stock market) and you can see the effects on the expected average retirement income and its variability (minimum and maximum). Note that you are very likely (have 95% chance) to be between the minimum and maximum figures indicated in the table below. Please select one of the following options. Invest 0% 10 % 20 % 30 % 40 % 50 % 60 % 70 % 80 % 90 % 100 % Minimum 16,000 17,000 17,000 17,000 16,000 15,000 14,000 11,000 7,000 2,000 0 Average 16,000 19,000 21,000 23,000 26,000 29,000 33,000 37,000 41,000 47,000 53,000 Maximum 16,000 22,000 23,000 29,000 35,000 42,000 51,000 62,000 76,000 92,000 112,000 The high range condition was derived by deleting the lower five rows of the table for each question in the control condition and the low range condition was derived by deleting the higher five rows in the tables in the free choice condition (i.e., the same was done for each question). Therefore in the free choice condition the participants had to choose among eleven possible answer options for each questions while in the high and low range conditions there were only six available answer options. 3 Most of the questions showed the expected retirement income and its variability like in the example above. The possible variability of the retirement income was explained by referring to the 95% and respectively 5% confidence intervals of the income variability, i.e. maximum and minimum possible values of the income, for which there is 5% chance to be more than the higher or less than the lower value respectively. On each row of the table these two values were placed on the both sides of the average expected retirement income. The confidence intervals were expressed also in verbal terms using the words very likely. For example, the participants were informed that it is very likely (95% chance) that their income will be below the higher value and above the lower value, and that these two values change depending on the proportion of the investment in equities. The ten questions were presented in different order in the various conditions. In Appendix B there is a detailed description of each question and its purpose (the questions are grouped by the key variable that participants are asked to select – savings or investment risk). Note that since we use mature population of participants who vary in age, this might create problems with test materials that are designed in advance, because for people that are relatively older the saving options that are calculated with longer time horizon of the investment are very attractive---they will have so save for much less number of years compared with younger people to get the same retirement income, and hence they would prefer the higher options. The materials in the pilot study were created for people with average age of around 25 yrs, and if we give the same materials to somebody who is 50, then of course he would be happy to save the highest possible amounts for the remaining 10-15 years until retirement, which on the top of that is economically unfeasible (i.e., cannot be realistically accomplished). In order to avoid this problem we decided to create test materials for three different age groups, namely, 30, 40, and 50. For people that are plus or minus 5 years around each age group we will send the same test materials (e.g., the financial options calculated for somebody who is 30 will be also sent to people who are between 25 and 35 yrs old). Note that in this design the participant had to choose among predetermined values in all conditions including the free choice one, which was similar to the design used in Experiment 4 reported by Stewart et al. (2003), where in the free choice condition the participants had to choose among predefined set of risky prospects (gambles), while in the two context conditions they were asked to choose among predetermined choice options that were either the higher halve or the lower halve of the list of options offered in the free choice condition. Procedure. We sent the materials (the financial affordability questionnaire and the savings and investment questionnaire) by post to a population of working individuals. Since not many people are able to come to the lab during day time. We targeted more than 600 people, but only 64 returned their answers and they were paid £10 for their participation (received as a check after they have returned the answer sheet). Participants were sent a booklet containing the financial affordability questionnaire, the ten prospect relativity questions, and five questions measuring risk aversion (see questions 11-15 in Appendix B). They received written instruction explaining that the purpose of the experiment is to answer series of questions about savings and investment related to retirement income provision, and that there were no right and wrong answers and that they are free to choose whatever most suits their preferences. It was explained that the choice options are predetermined because these are the outcomes that can be realistically accomplished according to a standard economic model and that the task is to choose the option that is nearest to the participant’s preferences. The participants were also informed that if they find them unsatisfactory then they can indicate values outside these ranges. The questions and the answer options were presented in the same way as the example question and table presented above. The participants had to choose one of the figures in the first column of the table (which were either savings or investment risk values) and they were provided with a separate answer sheet on which to write their answers. Participants were informed that their answers do not need to be consistent between the questions, and that they can freely change their preferences on each question and choose different savings and risk values. Another issue that we had to deal with was how to account for people’s existing savings because we want to make our session as realistic as possible. If we give our questions to somebody who already has got a good pension scheme then she/she might choose very low saving amounts and investment risk just because she does not need to save much more. On other side, if we tell them to imagine that our scheme is offering them to start anew, then our calculation will have to include also their accumulated savings up to date. This would also require some sophisticated software to be used online with every individual (and which is probably used by the real financial advisors). Our solution to this problem is write in the instruction that most people in UK are underprovided and that we research what kind of pension top-up product people might find attractive (in addition to the social security scheme), and therefore this is an extra to what they already got. Results Financial Affordability Questionnaire Table 2 presents the results from the Financial Affordability Questionnaire. The purpose of this questionnaire was mainly to force the respondents to give answers to the prospect relativity test, which they would do if making these decisions for real. Therefore, we will not try here to analyse the results from the financial affordability questionnaire, although it is possible to divide the participants in groups depending on their answers to the various questions and then see whether there are differences in the context effects detected by the prospect relativity test. Table 2. Results from the Financial Affordability Questionnaire Question Mean Annual income 18,871 Spend less than you earn by 3,758 Spend exactly the amount you earn 18,659 Spend more than you earn by 1,634 Current annual savings 1,823 Essential expenditure Std Deviation 15,298 3,090 8,730 1,221 2,371 Food 2,073 1,879 Rent / Mortgage 3,053 2,001 Utilities (electricity, gas, water, etc.) 641 819 Car 1,275 1,579 Other transport (train, busses) 342 671 Debt repayment 1,009 1,214 Communications (telephone, etc.) 404 301 Childcare and Schooling 277 739 Health 73 106 Repairs and Maintenance 419 532 Other (like health and life insurance, etc.) 409 475 Total essential expenditure 907 938 Discretionary expenditure Holiday 792 893 Entertainment (e.g., cinema) 323 383 Sport 231 347 Hobbies 184 220 Meals and Drinks 544 503 Other 665 1,306 Total discretionary expenditure 456 609 TOTAL EXPENDITURE 10,357 6,581 Maximum amount you would like to save 3,600 3,519 Give up discretionary spending to save Yes-54% No-46% Employment Part-time 33% Full-time 67% Education School 6%, College 29%, Uni 65% Household Income 30,974 33,595 Time spend managing finances Not at all 14%, Occasionally 28%, Regularly 34%, Often 14%, Very often 9% Prospect Relativity Test Note that although the questions related to saving and to risk asked the participants to trade-off different variables (e.g., savings versus retirement income in one question, and savings versus risk in another question), we used the weighted average of the answers of each participant across all five questions related to saving and all five questions related to risk, in order to derive the mean values for saving and risk in each condition; and these averaged results are presented here. This was done because the results showed no difference (i.e., the general pattern was the same) across the five questions for saving and risk respectively. Savings. The mean savings in the high range condition (£3,596) was significantly higher than the free choice condition (£2,343), t(42) = 5.11, p < .0001, while the mean savings in the low range condition (£1,660) was significantly lower than the free choice (£2,343), t(39) = 2.26, p = .030. This indicates that the range of offered options has strongly affected the mean of the selected values in each group. The proportion of times each saving option was chosen in the free choice, low range, and high range conditions is plotted in Figure 1. The results were averaged over all participants (which was also done for all statistical tests presented here). The error bars represent the standard error of the mean, which is also presented in all other figures here. Proportion Figure 1. Proportion of times each saving option was chosen in the free choice, low range, and high range conditions 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 Free Choice High Range Low Range 2 4 6 8 10 12 14 16 18 20 22 Percentage saved The proportion of times the lowest option in the high range condition (the 12% option) was selected was .40 and was lower than .78 which is the proportion of times the same option plus some other option bellow it was selected in the free choice condition, t(42) = 4.37, p < .0001. This result indicates that the context has affected choices in the high range condition. The proportion of times the highest option in the low range condition (again the 12% option) was selected was .20 and this value was lower than 0.41, which was the proportion of times the same option plus some other option above in the free choice condition was selected, t(39) = 1.75, p = .088. This result also means that the hypothesis that participants' choices were unaffected by context should be rejected. Investment risk. The average investment risk was significantly higher in the high range condition (56.1%) compared to the free choice condition (31.6%), t(42) = 9.35, p < .0001, and also the average investment risk in the low range condition (22.9%) was significantly lower that in the free choice condition (31.6%), t(39) = 2.36, p = .023. This result also indicates significant context effects on the mean risk preferred in each condition. The proportion of times each investment risk option was chosen in the free choice, low range, and high range conditions is plotted in Figure 2. Proportion Figure 2. Proportion of times each investment risk option was chosen in the free choice, low range, and high range conditions 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 Free Choice High Range Low Range 0 10 20 30 40 50 60 70 80 90 100 Percentage risky investment The proportion of times the lowest option in the high range condition (the 50% option) was selected was .58 and this values was significantly lower than the proportion of times the same option plus some other option bellow it was selected in the free choice condition, which was .93, t(42) = 5.10, p < .0001. The proportion of times the highest option in the low range condition (again the 50% option) was selected was .11 and this result was lower than .17 which was the proportion of times the same option or some other option above it in the free choice condition was selected, although this difference was not statistically significant, t(39) = .931, p = .358. Discussion The results clearly demonstrate that the choices were strongly influenced by the set of offered choice options. The non-significant difference between the low range condition and the free choice condition can be explained simply by the fact that the participants in the free choice condition naturally preferred low saving and risk rates. The skewed results in the high range condition clearly show that there is a tendency towards certain most preferred values for savings and risk. However, the choices were still significantly affected by the context in the high range condition. This result suggests that people’s preferences are not completely malleable by the context and choices are not absolutely relativistic and context dependent as the prospect relativity principle claims. Note that the motivation here was simply to check whether the prospect relativity effect will appear when people are faced with familiar situations with which they are likely to have some exposure and practice like saving, consumption, pension plans, and investment in the capital markets (at least the media provides enough information on the last issue). It seems that people might have developed some more stable preferences or anchors for savings and investment risk, although their responses are still malleable to context effects. Risk Preferences Table 3 presents the results from the five questions measuring respondents’ risk preferences. Table 3. Results from the risk preference questions Question Men Women Total 1 (1 to 5) 2.5 2.4 2.4 2 (1 to 5) 3.1 3.4 3.3 3 (1 to 5) 2.8 2.6 2.7 4 (1 to 5) 3.0 2.9 3.0 5 (1 to 4) 2.5 2.4 2.4 Question How much risk you are prepared to take? How much are you concerned about your financial future? Are you more or less willing to take risks than the average person? Are you more or less concerned about your financial future than the average person? Question 5 ranks people on a increasing level of risk aversion from 1 to 4. The results show that there is not a major difference between males and females in terms of their risk aversion. Questions 1, 2, and 5 clearly indicate that the respondents were on average moderately risk averse. Questions 3 and 4 show that the respondents perceive the other people as having similar attitudes to risk. STUDY II Dimensionality of Risk Perception - investigation of consumers' understanding of financial risk related to retirement savings and investment. There have been several studies in the past examining people's understanding of financial risk. Slovic (1972) examined the implications of research on human judgment and decision-making for investment decisions. His review pointed to multiple conceptualizations of risk that people apply to risk-taking situations, such as selections of gambles, and he concluded that variance of returns, which is the standard approach, is not a consistent predictor of risk-taking. He found that other decision rules, such as maximizing possible gain or minimizing possible below-target return, also play a central role in decision-making under uncertainty. Slovic's later research in risk perception has identified a number of qualitative factors that contribute to perception of risk, including the potential for large or catastrophic losses, unpredictability of outcomes, knowledge or familiarity, and affective or emotional reactions (Slovic, Fischhoff, & Lichtenstein, 1985; Slovic, 1987). Gooding (1975) also examined investors' perceptions of the risks and returns of common stocks and found that significant differences existed between financial professionals and non-professional investors. More recent research on financial judgment has focused on psychological factors that are associated with perceptions of risk and the quality of investments. MacGregor, Slovic, Dreman & Berry (in press) examined the role that imagery and affect play in financial judgment by studying how business students evaluate industry groups of stocks. They found that images and affective ratings (like for example, goodbad and strong-weak), were highly predictive of both anticipated industry-group returns and the likelihood of purchasing an initial public offering within an industry group. Olsen (1997) examined experts' and non-experts' perceptions of financial risk in a survey of chartered financial analysts and individual investors who actively manage their personal portfolios. He found that perception of risk in both groups of subjects was multidimensional in nature, and included four factors: potential for large loss, potential for below-target returns, the feeling of control, and the perceived level of knowledge about an investment. However, perceptions of investment risk by nonprofessionals were more sensitive to the potential for loss of principal. Much of this research has been conducted in what has come to be known as the "psychometric paradigm," in which respondents evaluate each of a number of different potential sources of risk in terms of a set of characteristics. MacGregor & Slovic (1999) applied this general methodology to reveal the underlying factors that contribute to professional financial judgment across a domain of possible investments. The aim was to investigate how financial judgment is related to other properties or characteristics of investments or asset classes, particularly perceptions of their risks, returns and return/risk relationships. The study focused on professional financial advisors and found out that while they tend to define risks for some asset types in terms price volatility, which accords with the principles of classical economic theory, they (like their clients) also embellished definitions of risk with other contextual factors that are specific to particular investments (such as mutual funds versus blue chip stocks, or U.S. Savings Bonds versus foreign bonds). Moreover, the financial advisors tended to perceive risk not only in terms of market factors like the price variations, but also in terms of the psychological burden associated with monitoring and evaluating an asset's ongoing performance (the so called "worry or attention"), predictability of performance, potential loss-of-capital risks, and perceived adequacy of regulation. Thus, financial advisors appeared to perceive and respond to risk in multidimensional terms, similar to those that previous research by Slovic (1987) has found lay people use in evaluating other risks in life including health and safety. Aims and objectives None of the existing research has focused on people's understanding of financial risk associated with investments related to retirement pension provision, and also none of the discussed studies has been done with British population. Our study aimed to fill these two gaps, which will also provide us with some suggestions how to communicate risk to consumers of financial products. This was a more qualitative study, in which we tried to select which dimension of risk is most valuable. The questionnaire is presented in Appendix C and there are three main sections. In the first part, similarly to the study by Olsen (1997), we asked the respondents to list those things that first come into their mind when they think about the risk related to the investment of your stakeholder pension plan. That is, what factors come to mind when they think of what might cause your income in retirement to vary. They had to list the factors and then rank them in the order of importance. In the second part, we asked people to rate on a scale from 1 to 7, different ways risk information is presented according to three criteria: (a) prefer to see risk information, (b) feel most comfortable with, and (c) is most clear. Question 1 presented risk purely in relational terms (as is the current practice) on a scale from 1 to 5 (1 is least risky and 5 is most risky), while Questions 2–11 presented risk as variants on the stochastic forecast theme – as probability for minimum, average, and maximum possible return, potential for below-target returns, etc. In the third part, following Slovic (1987), we tried to obtain some more detailed quantification also of the “unknown” (i.e., with the perceived level of knowledge about an investment) rather than “dread” aspect of people's perception of the risk of financial products. There were 21 questions (questions 12 to 33 as presented in Appendix C), which are related to different factors that could affect people’s perception of the risk of financial products and their retirement investment decisions. For each of them, the respondents were asked to think about the extent to which their decisions might be affected and circle the appropriate number on the scale from 1 (not at all affected) to 7 (very much affected). The “unknown” was described in the various questions as unfamiliarity with the products (e.g., UK vs. foreign stock); lack of trust in the products (e.g., people might not believe in equities because they are unpredictable in general), the product provider (bank or investment fund), the particular company, or the financial adviser; lack of knowledge about (trust in) the particular industry (e.g., energy, telecom); lack of confidence in the economy and/or markets (systematic risk); and also feeling of control over the course of the investment (e.g., ability to control loss or to change the investment strategy). In summary, our goal here was to assess on which dimensions do people fear taking out various financial products, and our conjecture was that perhaps a lot is to do with the degree to which they are unknown to them. Thus we could also investigate the relative importance of this risk aspect, in relation to the “dread” elements - like chance of losing money. Results There were 52 participants – 22 males with average age around 35, and 21 females with average age around 40, while 9 did not identify their gender and age. All respondents were paid £5 for their participation. Table 4 presents the results from the first part of the questionnaire, which is a summarised listing of the factors indicated as most important (ranked first) by 41 respondents (the other 12 did not answer this question). Olsen (1997) used similar methodology. Table 4. Suggested Characteristics of Investment Risk Characteristic Category Percentage of Time Mentioned First Stock market volatility 34% Economic uncertainty 22% Saved amount (exposure) 12% Salary/job uncertainty 7% Characteristics of the investment company 7% Note: The median number of attributes mentioned per respondent was three. As can be seen, responses related to the stock market volatility dominate in importance. The first two categories accounted for 56 percent of all top rankings and usually included some reference to a market or economic condition that could cause a loss in terms of the value of the investment. Appendix D presents a list of the top ranked factors grouped according to the categories presented in Table 4. The factors that are mentioned only once were not included in the table. Table 5 presents the average results for each question included in the second part of the questionnaire according the three dimensions for evaluation. Table 5. Results for each question included in the second part of the questionnaire Question Useful Understandable Suitable Average 1 3.9 5.2 4.0 4.4 2 4.1 4.7 3.5 4.1 3 4.1 4.7 3.7 4.2 4 4.9 5.0 4.3 4.7 5 4.3 4.8 3.5 4.2 6 4.1 5.1 3.1 4.1 7 4.3 5.5 3.6 4.5 8 3.9 4.1 4.0 4.0 9 4.5 4.9 3.5 4.3 10 4.4 5.0 3.5 4.3 11 4.6 4.9 3.9 4.5 The results are quite similar for all questions and along the three criteria – the maximum difference is hardly above one point on each scale. However, we can still draw some conclusions from these results. Thus, question 4 received highest ranking on average. The risk there was presented as variation between certain minimum and maximum values with some average in between, which is a good balance between parsimony, informativeness, and clarity in comparison to other contenders like questions 1, 7, and 11 (see Appendix C for their formulation). Table 6 presents the results from the third part of the questionnaire, which asked the respondents to evaluate the twenty one factors (presented as question 12 to 33) related to financial risk. Table 6. Average ratings for the factors included in the third part of the questionnaire Question Result 12 5.6 13 4.3 14 5.0 15 4.6 16 4.6 17 4.7 18 4.9 19 3.8 20 4.0 21 5.1 22 5.2 23 5.3 24 4.6 25 4.2 26 4.4 27 5.4 28 5.3 29 4.9 30 4.0 31 4.1 32 4.4 33 5.1 The highest score was for question 12, which is related to the possibility for very large loss in relation to the amount of money invested (for example, due to large drop in share prices). Slovic (1987) also identified the potential for large or catastrophic losses as a very important qualitative factor contributing to perception of risk. Otherwise, there was not a substantial difference between the evaluations of the various factors – the average responses vary between 3.8 and 5.6. These results indicate that all factors that were included in the questionnaire were perceived as important determinants of risky financial decision making. However, in future research, we can still group the most important factors (e.g., the ones rated above 5) and focus more specifically on their effects (e.g., during real financial advice sessions or another experimental study). References Benartzi, S. & Thaler, R. (2002). How Much Is Investor Autonomy Worth? Journal of Finance, August, vol. 57, no. 4, pp. 1593-1616. Gooding, A.E. (1975). Quantification of Investors' Perceptions of Common Stocks: Risk and Return Dimensions, Journal of Finance, 30, 1975, pp. 1,301-1,316. MacGregor, D., G. & Slovic, P. (1999). Perception of Financial Risk: A Survey Study of Advisors and Planners. Journal of Financial Planning, Vol. 12, Issue 8, pp. 6879. MacGregor, D., G., Slovic, P., Dreman, D. & Berry, M. (in press). Imagery, Affect, and Financial Judgment, Journal of Psychology and Financial Markets. Olsen, R.A. (1997). Investment Risk: The Experts' Perspective. Financial Analysts Journal, March/April 1997, pp. 62-66. Slovic, P. (1972). Psychological Study of Human Judgment: Implications for Investment Decision Making, Journal of Finance, 27, pp. 779-799. Slovic, P. (1987). Perception of Risk, Science, 236, 1987, pp. 280-285. Slovic, P., Fischhoff, B., & Lichtenstein, S. (1985) Characterizing Perceived Risk, In: R. W. Kates, C. Hohenemser & J. X. Kasperson (Eds.), Perilous Progress: Technology as Hazard, pp. 91-123, Boulder, Colo.: Westview. Stewart, N., Chater, N., Stott, H. P., & Reimers, S. (2003). Prospect relativity: How choice options influence decision under risk. Journal of Experimental Psychology: General, 132, 23-46. Appendix A Financial Affordability Questionnaire The following questions ask you about various facts and preferences related to your personal finances. We also expect you to provide absolute numbers on your income and expenditure (in pounds). The purpose of this test is to investigate to what extend your real financial circumstances at the moment affect your choices in the saving and investment experiment that follows. It is essential to be as accurate and honest as possible. We greatly appreciate your cooperation and we guarantee that the information that you provide will remain strictly confidential. Please answer the following questions: 1) What is your annual income: ______ 2) Which of the following statements reflect your financial circumstances (circle the appropriate one and provide the appropriate figures): a) You spend less than you earn; state by how much: ______ b) You spend exactly the amount that you earn: ______ c) You spend more than you earn (for example by borrowing or living on credit); state by how much: ______ In order to answer this question try to estimate to what extent your current annual income is sufficient to cover your necessities, and in particular try to figure out by how much your income is sufficient or insufficient to cover your annual expenses (for example, you could say that you spent around £2000 more than your current salary in order to cover your necessities). 3) Try to estimate how much you are able to save at the moment. Please write down here your average annual savings: ______ 4) Here we provide you with a list of various types of spending and you have to answer how much of your current annual income is spent on each of these expenditures. There are two types of expenditure examples – essential (e.g., food and rent) and discretionary (e.g., leisure activities), and you have to give estimates of your annual spending across these categories (for example, you can say that you spend usually £200 on food, £250 on rent, and so on). a) Essential expenditure - Food _____ - Rent / Mortgage _____ - Utilities (electricity, gas, heat, light, water) _____ - Car _____ - Other transport (train busses) _____ - Debt repayment _____ - Communications (telephone, etc.) _____ - Childcare and Schooling _____ - Health _____ - Repairs and Maintenance _____ - Other (e.g., health and life insurance, etc.) _____ b) Discretionary expenditure - Holiday _____ - Entertainment (e.g., cinema) _____ - Sport _____ - Hobbies _____ - Meals and Drinks _____ - Other _____ TOTAL EXPENDITURE: _____ 5) What is the maximum amount that you would like to save per year: _____ Can you give up some of your discretionary spending in order to increase your current savings rate if it is bellow your preferred maximum amount indicated in question 5? YES / NO (circle the appropriate) In order to answer this question you need to focus again on your discretionary spending and estimate the degree to which you can readily reallocate money towards a pension. Here we also aim to test how important and essential some these discretionary expenditures are for you (e.g., some people might be unwilling to give up certain hobbies, sport activities, etc.). Note that in the following experiment we will ask you series of questions about your preferred savings; and if you answer values that are above your current savings (provided in question 3), then we will ask you to give up some of your essential or discretionary spending in order to provide the additional capital that is required to cover the difference between your real current savings rate and the savings rate that you have indicated in some of the test questions. Appendix B Description of each question in the Prospect Relativity Experiment in Study I . The questions are grouped by the key variable that the participants were asked to select (e.g., savings, investment risk, etc.). I. Savings. The were five questions asking people to choose between savings options formulated as percentage that is saved out of the hypothetical income of £25000 per year. 1) Choose how much to save without information about other variables. 2) Choose how much to save and see expected retirement income. 3) Choose how much to save and trade it off with retiring at different age and see the expected retirement income. 4) Choose how much to save and see the retirement income and its minimum and maximum variability happening because assume that 50% of the savings are invested in the stock market. 5) Choose how much to save and take different levels of risk starting from low savings and investment risk and then increase both in parallel. II. Risk. Next are the five questions asking people to choose levels of risk formulated as percentage of saving invested in risky assets: 6) Choose how much to invest without information about other variables. 7) Choose how much to invest and see expected retirement income and its variability. 8) Choose how much to invest and trade-off it with retiring at different age and see the expected retirement income and its variability. 9) Choose how much to invest and tradeoff it with amount to be saved (increasing investment corresponding to decreasing savings) and see the retirement income and its variability. 10) Choose between levels of variability of the retirement income. Variability reflects different investment strategies and is increasing with the income (higher variability corresponds to higher income). IV. Risk preferences 11) Asked people to indicate how much risk they are prepared to take on a scale from 1 (not at all – only sure outcomes) to 5 (very much). 12) Asked people to indicate how much they are concerned about your financial future on a scale from 1 (not at all) to 5 (very much). 13) Asked whether the respondent is more or less willing to take risks than the average person and to indicate the answer on a scale from 1 (much less) to 5 (much more). 14) Asked whether the respondent is more or less concerned about his/her financial future than the average person and to answer on a scale ranging from 1 (much less) to 5 (much more). 15) Asked respondents about their willingness to gamble on lifetime income by choosing whether the take on a new job with variability of the expected salary. Appendix C Perception of Financial Risk Survey We are researching people's understanding of financial risk associated with investments related to retirement pension provision in Britain. The results from our study will provide us with some suggestions on how to communicate investment risk to consumers of financial products especially with relation to their stakeholder pension plans. The questionnaire is organised in three parts, which will take you around 30 min. to complete. In the first part, we ask you to describe your understanding of financial risk; in the second part, we would like you to evaluate different ways of presenting information about financial risk; and in the third part you have to estimate to what extent your perception of financial risk is affected by various factors. Part I. How do you understand financial risk? Imagine that you are considering whether to save for your retirement using a stakeholder pension which provides a number of different investment options and you have to select the one which is most suitable for you. The company managing your stakeholder pension plan will offer a range of different funds. Each fund will hold one or more types of investment, which may include deposits, government bonds, stocks and shares. You need to choose the funds in which your pension plan will be invested, but the insurance company’s fund manager will select the individual investments to be held by that fund. For example, you may choose a fund investing in the shares of UK companies, but the fund manager will decide which companies are to be included. Your income in retirement depends on how well these investments perform. Each type of investment is expected to give a different return. When you invest you do not know how each investment will perform, but there are ways in which the expected outcome of different types of investment can be measured. One simple measure is the level of risk associated with each type of investment. The return on higher risk investments is more uncertain – you may do very well or very badly compared to lower risk alternatives and you are likely to see greater fluctuation in the value of your investments over time. On average, however, you should expect high risk investments to provide a higher return over the long term. Lower risk investments will tend to provide lower, more stable returns. You have to consider whether you are prepared to accept a higher degree of risk for your savings or to take a more cautious approach. In the space below, list those things that first come into your mind when you think about the risk related to the investment of your stakeholder pension plan. That is, what factors come to mind when you think of what might cause your income in retirement to vary. List the factors in the first column and then in the second column rank the in the order of importance. For example if you list five factors, then 1 should be the most important and 5 the least important. Feel free to write as much or as little as you wish (but not anything at all!). Factor more: Importance Part II. Presentation of financial risk information Imagine that you are 30 years old and you are going to retire at 65. Here you are offered the opportunity to invest your savings in a fund that will eventually provide you with a retirement pension. This investment fund is characterized as moderately risky because it invests 30% of your savings in Low Risk Assets while the other 70% of your savings are invested in a High Risk Assets offering a higher expected return but with greater uncertainty in the range of outcomes. Note that these figures take into account the possible future inflation. Assume also that your annual salary is £20,000 and you save £2,000 every year until you retire (this is allowing for a contribution from your employer and tax relief on the amount you pay) Let’s presume also that your planned retirement income is £10,000 in today's money (in other words your target will be increased each year to cover expected inflation) before tax. Here there are twelve ways (point 1 to 12 below) in which risk information about this particular fund and your investment could be expressed and we ask you to read them through carefully and at the end we ask you to rate on a scale from 1 to 7, different ways risk information is presented according to three criteria: How risk information is most useful for you to make financial decisions related to your retirement pension provision (which means how useful is this risk related information for you in helping you think about your financial future). How risk information is most understandable (which means whether you could straightforwardly interpret what the information is telling you about your finances). How suitable for you is the proposed fund after risk information is described in these terms. Here there are 11 ways of describing your retirement investment: 1. Your investment can be rated on a scale from 1 to 5 indicating on overall, how risky is the investments. For example, 1 is least risky and 5 is most risky investment. These ratings of the risky investments (or funds) can also be described in the following way: 1. Very Cautious – provides steady return with minimal fluctuations. 2. Cautious – provides steady returns however they will experience some degree of price fluctuations. 3. Balanced – offers good growth potential, but is subject to average levels of price fluctuations. 4. Adventurous – returns may be expected to be higher over longer terms but will be subject to greater fluctuations. 5. Speculative – offers excellent growth potential over the long term but may be subject to very significant (wider) return fluctuations in the shorter term. According to this scale your investment fund (described at the beginning) can be rated as number 3 or as “Balanced” investment. Note that this information just says that one investment than riskier than another and higher risk is expected to produce higher returns but with bigger variability of these returns. This risk rating does not provide a numerical forecasting of expected future return. 2. The precise amount of your pension is unpredictable, because of possible variation in investment performance, but it is very likely (more than 95% chance, i.e. the 5 th percentile) that your retirement income cannot get below certain minimum, which for your fund is £4,153 (so here we show you the minimum possible return). 3. The precise amount of your pension is unpredictable, but if you invest in this fund, then on average (50% chance) you can get more than £9,825 annual retirement income (i.e., what is the median expected pension). 4. The precise amount of your pension is unpredictable, because of possible variation in investment performance, but it is very likely (more than 95% chance) that it will be between certain minimum and maximum values with some average in between. For instance, if you invest in this fund, then it is very likely (95 percent chance) that your annual retirement income will be more than £4,153 and less than £23,248, and on average (50 percent chance) you can get more than £9,825 (thus here we show you minimum, average, and maximum possible returns). 5. When you invest in the fund there is 10% chance getting less than you put in (save). Here we show you the chance of a loss of the accumulated investment so that you get less money back from your pension fund than the amount you paid in. 6. There is 50% chance that you might not get the desired £10,000 annual pension (thus your investment will earn a return below what you expect your target). 7. There is a 90% chance that you will get back at least the amount of money you put in the fund. 8. If you invest in the fund, then there is relatively high potential (above 87% chance) that you will gain 10% return (interest rate) on your invested savings. Here we present the probability of gain – how likely is it that you will gain certain return on your savings for retirement. 9. If you invest in this fund, there is less than 10% chance that your invested savings will not cover your basic needs after retirement so that you will not be able to provide yourself (with food, health, and shelter, which estimated to cost at least £5,000 per year) after retirement. 10. There is a 48% chance that you will be able to receive £10,000 annual pension – this is the probability that you can get your target retirement income. Possible retirement incomes After you have read statements 1 to 11 (which were for the same investment described at the beginning) use the scales bellow (ranging from 1 to 7) to indicate (by circling one of the numbers on each scale) how useful (from 1-not at all useful to 7-very useful) and how understandable (from 1-not at all understandable to 7-perfectly understandable) is the risk information presented in each statement. In the third column, rate how suitable for you is the proposed fund after risk information is described in these terms (from 1-not at all suitable to 7-perfectly suitable). Statement How Useful How Understandable How suitable is the fund 1 1 2 3 4 5 6 7 1 2 3 4 5 6 7 1 2 3 4 5 6 7 2 1 2 3 4 5 6 7 1 2 3 4 5 6 7 1 2 3 4 5 6 7 3 1 2 3 4 5 6 7 1 2 3 4 5 6 7 1 2 3 4 5 6 7 4 1 2 3 4 5 6 7 1 2 3 4 5 6 7 1 2 3 4 5 6 7 5 1 2 3 4 5 6 7 1 2 3 4 5 6 7 1 2 3 4 5 6 7 50,000 48,000 46,000 44,000 42,000 40,000 38,000 36,000 34,000 32,000 30,000 28,000 26,000 24,000 22,000 20,000 18,000 16,000 14,000 12,000 10,000 8,000 6,000 - 2,000 0 0 0 0 0 0 0 0 0 0 0 4,000 11. The graph bellow presents the probability distribution of the possible annual retirement incomes that you can get from your investment in the fund. In particular, each bar on the graph represents a retirement income and how likely is to achieve that income in comparison with the other possible incomes after you retire. In other words, higher the bars are, more likely is to get that income relative to the other incomes. 6 1 2 3 4 5 6 7 1 2 3 4 5 6 7 1 2 3 4 5 6 7 7 1 2 3 4 5 6 7 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 1 2 3 4 5 6 7 1 2 3 4 5 6 7 9 1 2 3 4 5 6 7 1 2 3 4 5 6 7 1 2 3 4 5 6 7 10 1 2 3 4 5 6 7 1 2 3 4 5 6 7 1 2 3 4 5 6 7 11 1 2 3 4 5 6 7 1 2 3 4 5 6 7 1 2 3 4 5 6 7 Part III. Factors affecting your risk perceptions and financial decisions The following twenty questions aim to understand to what extent your perception of the risk of financial products affect your retirement investment decisions As in part II, assume you are 30 years old and you are going to retire at 65. You have decided to save £2000 every year until you retire and are thinking about what investments you could make. Listed below are a number of different factors that could affect the decisions you make. For each of them, please think about the extent to which your decisions might be affected and circle the appropriate number on the scale from 1 (not at all affected) to 7 (very much affected). 12. Possibility for very large loss in relation to the amount of money invested (for example, due to large drop in share prices). Not at all Very much affected affected 1 2 3 4 5 6 7 13. Unfamiliarity with a type of investment (for example the foreign stock rather than UK stock, or company stocks rather than government bonds). Not at all Very much affected affected 1 2 3 4 5 6 7 14. Lack of knowledge about particular investments (for example the investments held and performance of each fund) Not at all Very much affected affected 1 2 3 4 5 6 7 15. The unsuitability of particular types of investments (for example some people might not want to invest in shares in principal because they are uncertain) Not at all Very much affected affected 1 2 3 4 5 6 7 16. Lack of trust in the particular industry (for example people might believe that telecom or high tech industry is unstable and can crash any time). Not at all Very much affected affected 1 2 3 4 5 6 7 17. Lack of trust in the particular company in which you are investing, which might depend on its competitive position, industry type – for example, Microsoft or Enron might be seen as unreliable companies because they have been accused of illegal business conduct. Not at all Very much affected affected 1 2 3 4 5 6 7 18. Lack of confidence in the future performance of the economy and/or the stock market. This relates to uncertainty about the growth prospects for the economy or other factors influencing the performance of the stock market, which will affect what your investment is worth. Not at all Very much Affected affected 1 2 3 4 5 6 7 19. Lack of confidence in the workings of the financial markets (for example arising from concerns over accounting standards) Not at all Very much affected affected 1 2 3 4 5 6 7 20. General uncertainty about investment products in general (for example you might feel more comfortable saving in simple products such as deposits or investing in property). Not at all Very much affected Affected 1 2 3 4 5 6 7 21. Lack of trust in the product provider (the financial services company which sells you the stakeholder pension plan). Not at all Very much Affected Affected 1 2 3 4 5 6 7 22. Lack of trust in the financial adviser who advises you about your savings and investments. (e.g. some people might think that financial advisers may try to sell you products which are not necessarily in your best interests). Not at all Very much affected affected 1 2 3 4 5 6 7 23. Feeling of loss of control over the course of the investment (for example, would you know when and be able to change your investments to respond to events affecting financial markets) Not at all Very much affected affected 1 2 3 4 5 6 7 24. The worry and anxiety that may be caused if the value of your investment decreases (for example, you can now see daily fluctuations in the value of your investment) Not at all Very much affected affected 1 2 3 4 5 6 7 25. The fact that investing for a pension is complex process and something you are not used to doing. Not at all Very much affected affected 1 2 3 4 5 6 7 26. Concern as to whether you will lose state benefits to which you would otherwise be entitled if you did not save for your retirement. Not at all Very much affected affected 1 2 3 4 5 6 7 27. The possibility that, event if your investment increases in value, it may still not be enough to provide a proper style of living after retirement in case of investment loss. Not at all Very much affected affected 1 2 3 4 5 6 7 28.The possibility that your investment does not increase in value so that you do not reach your target retirement income. Not at all Very much Affected affected 1 2 3 4 5 6 7 29. The fear that you might be making a wrong decision (for example, the investment might not perform well and you would have been better off choosing another investment or not saving at all). Not at all Very much affected affected 1 2 3 4 5 6 7 30. The fear that you may not be able to meet the saving commitment of £2000 a year in future years or that you will not be able to access your savings until retirement. Not at all Very much affected affected 1 2 3 4 5 6 7 31. The liquidity of your investment – how easily you could get your cash, which is affected by the ability to sell quickly, the degree of investor interest, capital markets trade volume, and so on. Not at all Very much affected affected 1 2 3 4 5 6 7 32. Equity or fairness of the risk-benefit distributions. Where there is a risk involved it is much more acceptable if the risk is confined to individuals who have a potential for personal gain from taking the risk. Are you (and your dependants) taking the risk that everybody else takes in order to obtain the expected benefits or others might get away with lesser risk? Not at all Very much affected affected 1 2 3 4 5 6 7 33. Likelihood that cost of life (prices) will go extremely high due to high inflation, which will make you savings unable to cover your life needs (in other words, the prices might increase so much so your pension would not be enough to provide you). Not at all Very much affected affected 1 2 3 4 5 6 7 Appendix D Risk factors ranked first by the respondents Respondent Written description of the factor Stock market volatility (34%), i.e., related to possibility for large loss 1 Stock market volatility 2 Market performance – recent IT revolution has made the stock markets much more volatile 3 Security of investment 4 Stock market performance 5 Long term evolution of the financial markets and the stock exchange 6 Large, global stock market slumps 7 Fluctuations in the market 8 Stockmarket fluctuations 9 Market performance 10 Safety of investment (stock volatility?) 11 Fall in stock market 12 Stock market crash 13 Previous company performance 14 ISAs Economic uncertainty (22%) 15 Value of my home 16 Economic environment 17 Interest rates 18 General cost of living 19 World’s and specifically UK’s economy 20 Interest rate fluctuations 21 Recession 22 UK economy 23 Overall economic conditions – growth of economy Saved amount (exposure) - 12% 24 amount I invest each month 25 Monthly investment cost 26 What can I afford to invest as % of income 27 5 - How high you put in £££ (exposure?); 3 – the risk of what you are investing in (volatility of the stock/company?) 28 Maintain up standard of living – meet bills Characteristics of the investment company – 7% 29 Practices of investment company 30 Capability of the fund manager 31 Type of fund Salary/job uncertainty (7%) 32 Loosing my job 33 Redundancy 34 Working period / Retirement age 35 Guarantees of income to live on 36 To risk about pension is very dangerous for my future 37 Not really understanding the product, therefore no control over how much I need to invest 38 I would want to be more involved and in control of high rise investments 39 Death of partner 40 Me and my family’s health (if in serious health problems, would wish to sell my stock) 41 War