Chapter 15

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1. Award: 10.00 points Problems? Adjust credit for all students. Under the expectations hypothesis, if the yield curve is upward-sloping, the market must expect an increase in short-term interest rates. True Explanation: True. Under the expectations hypothesis alone, there are no risk premia built into bond prices. The only reason for long-term yields to exceed short-term yields is an expectation of higher short-term rates in the future. Worksheet Difficulty: 1 Basic Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 15: The Term Structure of Interest Rates > Chapter 15 Problems - Algorithmic & Static References
2. Award: 10.00 points Problems? Adjust credit for all students. Under the liquidity preference theory, if inflation is expected to be falling over the next few years, long-term interest rates will be higher than short-term rates. Uncertain Explanation: Uncertain. Expectations of lower inflation will usually lead to lower nominal interest rates. Nevertheless, if the liquidity premium is sufficiently great, long-term yields may exceed short-term yields despite expectations of falling short rates. Worksheet Difficulty: 1 Basic Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 15: The Term Structure of Interest Rates > Chapter 15 Problems - Algorithmic & Static References
3. Award: 10.00 points Problems? Adjust credit for all students. If the liquidity preference hypothesis is true, what shape should the term structure curve have in a period where interest rates are expected to be constant? Upward sloping Explanation: The liquidity theory holds that investors demand a premium to compensate them for interest rate exposure and the premium increases with maturity. Add this premium to a flat curve and the result is an upward sloping yield curve. Worksheet Difficulty: 1 Basic Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 15: The Term Structure of Interest Rates > Chapter 15 Problems - Algorithmic & Static References
4. Award: 10.00 points Problems? Adjust credit for all students. Which of the following is true according to the pure expectations theory? Forward rates exclusively represent expected future short rates. Explanation: The pure expectations theory, also referred to as the unbiased expectations theory, purports that forward rates are solely a function of expected future spot rates. Under the pure expectations theory, a yield curve that is upward (downward) sloping, means that short-term rates are expected to rise (fall). A flat yield curve implies that the market expects short-term rates to remain constant. Worksheet Difficulty: 1 Basic Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 15: The Term Structure of Interest Rates > Chapter 15 Problems - Algorithmic & Static References
5. Award: 10.00 points Problems? Adjust credit for all students. Assuming the pure expectations theory is correct, an upward-sloping yield curve implies interest rates are expected to increase in the future. Explanation: The yield curve slopes upward because short-term rates are lower than long-term rates. Since market rates are determined by supply and demand, it follows that investors (demand side) expect rates to be higher in the future than in the near-term. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 15: The Term Structure of Interest Rates > Chapter 15 Problems - Algorithmic & Static References
6. Award: 10.00 points Problems? Adjust credit for all students. The following is a list of prices for zero-coupon bonds of various maturities. Maturity (years) Price of Bond 1 $ 943.40 2 898.47 3 847.62 4 792.16 Required: a. Calculate the yield to maturity for a bond with a maturity of (i) one year; (ii) two years; (iii) three years; (iv) four years. Assume annual coupon payments. b. Calculate the forward rate for (i) the second year; (ii) the third year; (iii) the fourth year. Assume annual coupon payments. Required A Required B Complete this question by entering your answers in the tabs below. Calculate the yield to maturity for a bond with a maturity of (i) one year; (ii) two years; (iii) three years; (iv) four years. Assume annual coupon payments. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Required A Required B $ $ $ $ Maturity (Years) Price of Bond YTM 1 943.40 6.00 % 2 898.47 5.50 % 3 847.62 5.67 % 4 792.16 6.00 % Explanation: a. Zero-coupon bond YTM b. Forward rate ( 1.0550 2 ÷ 1.0600) − 1 = 5% ( 1.0567 3 ÷ 1.0550 2 ) − 1 = 6% ( 1.0600 4 ÷ 1.0567 3 ) − 1 = 7% Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 15: The Term Structure of Interest Rates > Chapter 15 Problems - Algorithmic & Static References
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