3. (20') Suppose that an investor with a 4-year investment horizon is considering purchasing a 10-year 5% coupon bond selling at par. The investor expects that she can reinvest the coupon payments at an annual interest rate of 8% and that at the end of the investment horizon 6-year bonds will be selling to offer a yield to maturity of 11%. What is the total return for this bond?
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- Assume that the yield curve is YT = 0.04 + 0.001 T. (a) What is the price of a par - $1,000 zero - coupon bond with a maturity of 10 years? (b) Suppose you buy this bond. If 1 year later the yield curve is YT = 0.042 + 0.001 T, then what will be the net return on the bond?Suppose you purchase a 30-year Treasury bond with a 6% annual coupon, initially trading at par. In 10 years’ time, the bond’s yield to maturity has risen to 7% (EAR).a. If you sell the bond now, what internal rate of return will you have earned on your investment in the bond?b. If instead you hold the bond to maturity, what internal rate of return will you earn on your investment in the bond?c. Is comparing the IRRs a useful way to evaluate the decision to sell the bond?suppose you purchase a 30-year Treasury bond with a 5% annual coupon, initially trading at par. In 10 years' time, the bond's yield to maturity has risen to 6% (EAR). (Assume $100 face value bond.) a. If you sell the bond now, what internal rate of return will you have earned on your investment in the bond? b. If instead you hold the bond to maturity, what internal rate of return will you earn on your initial investment in the bond? c. Is comparing the IRRs in (a) versus (b) a useful way to evaluate the decision to sell the bond? Explain. 1. If you sell the bond now, what internal rate of return will you have earned on your investment in the bond? The IRR of the bond is nothing%. (Round to two decimal places.)
- Suppose you purchase a 30-year Treasury bond with a 5% annual coupon, initially trading at par. In 10 years' time, the bond's yield to maturity has risen to 7% (EAR). (Assume $100 face value bond.) a. If you sell the bond now, what internal rate of return will you have earned on your investment in the bond? b. If instead you hold the bond to maturity, what internal rate of return will you earn on your initial investment in the bond? c. Is comparing the IRRs in (a) versus (b) a useful way to evaluate the decision to sell the bond? Explain. a. If you sell the bond now, what internal rate of return will you have earned on your investment in the bond? The IRR of the bond is %. (Round to two decimal places.)Suppose you buy a bond with 3 years to maturity. The face value is 1000 and the coupon rate is 12 %. Assume after holding the bond for one year the market interest rate falls to 8 % a. What will be the new price of your bond? b. What will be the annual rate of return on your bond? c. Discuss the interest rate risk on bonds using your results in parts (a) and (b)?1. Suppose you buy an annual coupon bond with a coupon rate of 6% for $915. The bond has 10 years to maturity and a par value of $1000. What rate of return do you expect to ern on your investment? Two years from now the YTM on your bond has declined by one percentage point, and you decide to sell. What is the holding period yield on your investment? Compare this yield to the YTM when you first bought the bond. Why are they different?
- The YTM on a bond is the interest rate you earn on your investment if interest rates don't change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY). a. Suppose that today you buy a bond with an annual coupon rate of 10 percent for $1, 120. The bond has 17 years to maturity. What rate of return do you expect to earn on your investment?The YTM on a bond is the interest rate you earn on your investment if interest rates don't change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY). a. Suppose that today you buy a bond with an annual coupon rate of 7 percent for $1,160. The bond has 15 years to maturity. What rate of return do you expect to earn on your investment? Assume a par value of $1,000. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b- Two years from now, the YTM on your bond has declined by 1 percent, and you 1. decide to sell. What price will your bond sell for? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b- What is the HPY on your investment? (Do not round intermediate calculations and 2. enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a. Expected rate of return b-1. Bond price b-2. HPY % I %The YTM on a bond is the interest rate you earn on your investment if interest rates don’t change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY). a.Suppose that today you buy a bond with an annual coupon rate of 6 percent for $1,150. The bond has 20 years to maturity. What rate of return do you expect to earn on your investment? Assume a par value of $1,000. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)b-1.Two years from now, the YTM on your bond has declined by 1 percent, and you decide to sell. What price will your bond sell for? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)b-2.What is the HPY on your investment? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
- Suppose you purchase a 10-year bond with 6.19% annual coupons. You hold the bond for 4 years, and sell it immediately after receiving the fourth coupon. If the bond's yield to maturity was 5.34% when you purchased and sold the bond, a. what cash flows will you pay and receive from your investment in the bond per $100 face value? b. what is the annual rate of return of your investment? a. What cash flows will you pay and receive from your investment in the bond per $100 face value? The cash flows from the investment are shown in the following timeline: (Round to the best choice below.) A. Years 2 3 Cash Flows $106.46 $6.19 $6.19 $6.19 $110.46 B. Years 0 2 3 4 Cash Flows - $106.46 $6.19 $6.19 $6.19 $110.46 C. Years 0 1 2 3 4 Cash Flows $104.27 $6.19 $6.19 $6.19 $110.46 D. Years 0 2 3 4 + $6.19 $6.19 $6.19 $104.27 Cash Flows - $110.46 b. What is the annual rate of return of your investment? The annual rate of return of your investment is %. (Round to two decimal places.)Suppose you purchase a 10-year bond with 6.19% annual coupons. You hold the bond for 4 years, and sell it immediately after receiving the fourth coupon. If the bond's yield to maturity was 5.34% when you purchased and sold the bond, a. what cash flows will you pay and receive from your investment in the bond per $100 face value? b. what is the annual rate of return of your investment? a. What cash flows will you pay and receive from your investment in the bond per $100 face value? The cash flows from the investment are shown in the following timeline: (Round to the best choice below.) A. Years 0 2 3 4 Cash Flows $106.46 $6.19 $6.19 $6.19 $110.46 B. Years 0 2 3 4 Cash Flows - $106.46 $6.19 $6.19 $6.19 $110.46 ○ C. Years 0 2 3 4 Cash Flows $104.27 $6.19 $6.19 $6.19 $110.46 D. Years 0 2 3 4 Cash Flows - $110.46 $6.19 $6.19 $6.19 $104.27 b. What is the annual rate of return of your investment? The annual rate of return of your investment is %. (Round to two decimal places.)Suppose that a 1-year zero-coupon bond with face value $100 currently sells at $89.75, while a 2-year zero sells at $79.88. You are considering the purchase of a 2-year-maturity bond making annual coupon payments. The face value of the bond is $100, and the coupon rate is 10% per year. Required: What is the yield to maturity of the 2-year zero? What is the yield to maturity of the 2-year coupon bond? What is the forward rate for the second year? If the expectations hypothesis is accepted, what are (1) the expected price of the coupon bond at the end of the first year and (2) the expected holding-period return on the coupon bond over the first year? Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?