The Cost of Money What is the cost of money, and how is it determined? What factors affect interest rates? What is a yield curve? How do government actions and business activity affect interest rates? How does the level of interest rates affect the values of stocks and bonds? 1 Realized Returns Dollar return Dollar income + Capital gains Yield Beginning value Beginning value Dollar income + (Ending value - Beginning value) Beginning value $3 + ($12 - $10) $5 0.50 50.0% $10 $10 2 Cost of Money Interest rates are based on: Production Opportunities—greater production opportunities, greater demand for funds Time Preference for Consumption—individuals save less if they have a great need for current consumption Risk—investors demand higher returns for riskier investments Inflation—investors save to increase their ability to purchase in the future 3 Interest Rates—Levels Function of supply and demand Interest Rate, r S1 8.5 7.0 D2 D1 Dollars Interest rates fluctuate continuously 4 Interest Rates—Determinants Return (r) Risk Premium = RP rRF r = rRF + RP Risk-Free Return = rRF 0 Risk 5 Interest Rates—Determinants r = rRF = [r* + IP] r* IP + RP + [DRP + LP + MRP] = real risk-free rate = inflation premium = rRF DRP = default risk premium LP = liquidity (marketability) premium MRP = maturity risk premium = RP 6 Premiums Added to r* for Different Types of Debt Short-Term Treasury: only IP for S-T inflation Long-Term Treasury: IP for L-T inflation, MRP Short-Term corporate: Short-Term IP, DRP, LP Long-Term corporate: IP, DRP, MRP, LP 7 Term Structure of Interest Rates— Yield Curve Rate (Yield) Upward sloping Flat Downward sloping Maturity Short-Term Bonds Long-Term Bonds 8 U.S. Treasury Bond Interest Rates on Different Dates Interest R ate (%) 16 14 March 1980 12 10 8 6 July 2006 4 July 2003 2 0 1 Short Term 5 Inter mediate Term 10 15 Years to 20 Maturity Long Term 9 Term Structure of Interest Rates Explanations for the shape of a yield curve: Expectations Theory—slope of yield curve is the same as expected interest movements Liquidity Preference Theory—investors prefer more liquidity to less Market Segmentation Theory—market is segmented by maturity (LT or ST) 10 Interest Rates Other Factors that Influence Interest Rates Federal Reserve Policy Federal Deficits Foreign Trade Balance Business Activity 11 Interest Rates Interest Rate Levels and Stock Prices: highly correlated Interest Rates and Business Decisions: a firm’s decisions concerning what types of financing should be used for investments in assets is based on forecasts of future interest rates 12 Forecasting Interest Rates Exp Infl Year Each Yr Avg Inflation Per Yr, IPt 20x1 1% = 1%/1 = 1% 20x2 5% = (1%+5%)/2 = 3% 20x3 6% = (1%+5%+6%)/3 = 4% 13 Forecasting Interest Rates If the real risk-free rate, r*, is 3 percent, then the forecasted yields on bonds will be: Bond Type r* + IPt = Nominal Rate, rRF 1-year bond 3% + 1% = 4% 2-year bond 3% + 3% = 6% 3-year bond 3% + 4% = 7% 14 Forecasting Interest Rates Year r* 20x1 20x2 20x3 3% 3% 3% Expected Annual Infl Rate on a 1-Year Bond 1% 5% 6% 4% 8% 9% Bond Type Average of 1-Year Rates rRF 1-year bond 1-year 2-year bond 3-year bond 2-year 4%/1 (4% + 8%)/1 8%)/2 (4% + 8% + 9%)/2 9%)/3 4.0% 6.0% 8.0% 8.5% 7.0% = = = 15 The Cost of Money as a Determinant of Value CF1 CF2 CFn Value of an Asset 1 2 (1 r) (1 rr) (1 r) r rn CF t = expected cash flow in Period t r = required rate of return 16 Answers to Questions What is the cost of money, and how is it determined? The interest rate that lenders charge borrowers. Determined by the supply of funds and the demand for those funds. What factors affect interest rates? Production opportunities, time preferences for consumption, risk, inflation. 17 Answers to Questions What is a yield curve? A snapshot of the relationship between short-term and long-term interest rates at a particular time. How do government actions and business activity affect interest rates? Government borrowing exerts pressure on the demand for funds and may inflate interest rates. How does the level of interest rates affect the values of stocks and bonds? When rates increase in the financial markets, the values of assets decrease. 18