From Federal Reserve Economic Data (FRED), we have obtained spot zero rates as follows: Spot zero Year rate 0.5 2% 1 3% 1.5 2 4% 2.5 ? 3 5% We want to calculate the price of a 3-year bond which pays 10% coupon (semi-annual). The face value of the bond is $1,000. However, the problem is that we do not know 1.5-year and 2.5-year spot zero rates. If we use linear interpolation method, what are the 1.5-year and 2.5-year spot zero rates? The 1.5-year spot rate is 3.50% and 2.5-year spot rate is 4.50% The 1.5-year spot rate is 1.75% and 2.5-year spot rate is 2.25% The 1.5-year spot rate is 1.70% and 2.5-year spot rate is 2.20% The 1.5-year spot rate is 3.40% and 2.5-year spot rate is 4.40%

From Federal Reserve Economic Data (FRED), we have obtained spot zero rates as follows: Spot zero Year rate 0.5 2% 1 3% 1.5 2 4% 2.5 ? 3 5% We want to calculate the price of a 3-year bond which pays 10% coupon (semi-annual). The face value of the bond is $1,000. However, the problem is that we do not know 1.5-year and 2.5-year spot zero rates. If we use linear interpolation method, what are the 1.5-year and 2.5-year spot zero rates? The 1.5-year spot rate is 3.50% and 2.5-year spot rate is 4.50% The 1.5-year spot rate is 1.75% and 2.5-year spot rate is 2.25% The 1.5-year spot rate is 1.70% and 2.5-year spot rate is 2.20% The 1.5-year spot rate is 3.40% and 2.5-year spot rate is 4.40%

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Suppose the returns on long-term government bonds are normally distributed. Assume long-term government bonds have a mean return of 6.1 percent and a standard deviation of 9.8 percent. What is the approximate probability that your return on these bonds will be less than −3.7 percent in a given year? Use the NORMDIST function in Excel® to answer this question. Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. What range of returns would you expect to see 95 percent of the time? Note: A negative answer should be indicated by a minus sign. Enter your answers from lowest to highest. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. What range would you expect to see 99 percent of the time? Note: A negative answer should be indicated by a minus sign. Enter your answers from lowest to highest. Do not round intermediate calculations and enter…
Today, interest rates on 1-year T-bonds yield 1.7%, interest rates on 2-year T-bonds yield 2.5%, and interest rates on 3-year T-bonds yield 3.7%.a. If the pure expectations theory is correct, what is the yield on 1-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places. b. If the pure expectations theory is correct, what is the yield on 2-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places. c. If the pure expectations theory is correct, what is the yield on 1-year T-bonds two years from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places.
The rise and fall of a bond's price has a direct inverse relationship to its yield to maturity, or interest rate. As prices go up, the yield declines and vice versa. For example, a $1,000 bond might carry a stated annual yield, known as the coupon of 8%, meaning that it pays $80 a year to the bondholder. If that bond was bought for $870, the actual yield to maturity would be 9.2% ($80 annual interest on $870 of principal). Do you agree with this analysis? Briefly explain.
An insurance company must make payments to a customer of $10 million in one year and $5 million in five years. The yield curve is flat at 10%. Required: a. If it wants to fully fund and immunize its obligation to this customer with a single issue of a zero-coupon bond, what maturity bond must it purchase? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. b. What must be the face value and market value of that zero-coupon bond? Note: Do not round intermediate calculations. Enter your answers in millions rounded to 2 decimal places. a. Maturity of zero coupon bond b. Face value b. Market value years million million
Recall that on a one-year Treasury security the yield is 5.6100% and 6.7320% on a two-year Treasury security. Suppose the one-year security does not have a maturity risk premium, but the two-year security does and it is 0.15%. What is the market’s estimate of the one-year Treasury rate one year from now? (Note: Do not round your intermediate calculations.) a 9.6049% b 6.4285% c 8.6217% d 7.5629% Suppose the yield on a two-year Treasury security is 5.83%, and the yield on a five-year Treasury security is 6.20%. Assuming that the pure expectations theory is correct, what is the market’s estimate of the three-year Treasury rate two years from now? (Note: Do not round your intermediate calculations.) a 5.46% b 6.45% c 6.53% d 6.61%
The real risk-free rate, r*, is 1.4%. Inflation is expected to average 1.2% a year for the next 4 years, after which time inflation is expected to average 4.3% a year. Assume that there is no maturity risk premium. An 8-year corporate bond has a yield of 10.7%, which includes a liquidity premium of 0.7%. What is its default risk premium? Do not round intermediate calculations. Round your answer to two decimal places.
Suppose you are considering two possible investment opportunities: a 12-year Treasury bond and a 7-year, AA-rated corporate bond. The current real risk-free rate is 3%, and inflation is expected to be 2% for the next 2 years, 3% for the following 4 years, and 4% thereafter. The maturity risk premium is estimated by this formula: MRP = 0.02(t - 1)%. The liquidity premium (LP) for the corporate bond is estimated to be 0.3%. You may determine the default risk premium (DRP), given the company's bond rating, from the following table. Remember to subtract the bond's LP from the corporate spread given in the table to arrive at the bond's DRP. Corporate Bond Yield Rate Spread = DRP + LP U.S. Treasury 0.73 % — AAA corporate 0.93 0.20 % AA corporate 1.33 0.60 A corporate 1.75 1.02 What yield would you predict for each of these two investments? Round your answers to three decimal places. 12-year Treasury yield: 6.553%----->correct 7-year Corporate yield: ? %…
Recall that on a one-year Treasury security the yield is 4.0000% and 5.4000% on a two-year Treasury security. Suppose the one-year security does not have a maturity risk premium, but the two-year security does and it is 0.4%. What is the market’s estimate of the one-year Treasury rate one year from now? (Note: Do not round your intermediate calculations.) 6.8509% 6.0096% 7.6322% 5.1082%
Bond J has a coupon rate of 7 percent and Bond K has a coupon rate of 13 percent. Both bonds have 16 years to maturity, make semiannual payments, and have a YTM of 10 percent. a. If interest rates suddenly rise by 2 percent, what is the percentage price change of these bonds? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e. g., 32.16.) b. What if rates suddenly fall by 2 percent instead? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)
The real risk-free rate, r*, is 2%. Inflation is expected to average 3.45% a year for the next 4 years, after which time inflation is expected to average 3.9% a year. Assume that there is no maturity risk premium. An 8-year corporate bond has a yield of 10%, which includes a liquidity premium of 0.9%. What is its default risk premium? Do not round intermediate calculations. Round your answer to two decimal places.
The yield on a 1-year zero-coupon bonds is currently 7%; the YTM on 2 -year zeros is 8%. The treasury plans to issue a 2 -year maturity coupon bond, paying coupons once a year with a coupon rate of 9%. The face value of the bond is $100. (BKM 15.11) a) At what price will the bond sell? 15 p b) If the expectations theory of the yield curve is correct, what is the market expectation of the price that the bond will sell for next year? c) Recalculate your answer to b) if you believe in the liquidity preference theory and you believe the liquidity premium is 1%.

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