Assume that you are looking at a 5-year bond that pays an annual coupon of $40 each year and will mature for $1,000 in 5 years. Also assume the Pure Expectations Theory of the term structure and that investors expect 1-year rates for each of the next 5 years to be Year 1 4.00%; Year 2-5.00%; Year 3 7.00%; Year 4 = 8.00%; and Year 5 9.00%. Given this information, determine the nominal, annual yield to maturity on this security. 6.26% O 6.32% O 6.47% O 6.21% 6.39%
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- Suppose you are considering two possible investment opportunities: a 12-yearTreasury bond and a 7-year, A-rated corporate bond. The current real risk-free rateis 4%, and inflation is expected to be 2% for the next 2 years, 3% for the following4 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 estimatedto be 0.3%. You may determine the default risk premium (DRP), given thecompany’s bond rating, from the table below. Remember to subtract the bond’s LPfrom the corporate spread given in the table to arrive at the bond’s DRP. Whatyield would you predict for each of these two investments?RateCorporate Bond YieldSuppose that you buy a two-year 8% bond at its face value. a. What will be your total nominal return over the two years if inflation is 3% in the first year and 5% in the second? b. What will be your total real return?Suppose that you buy a TIPS (inflation-indexed) bond with a 1-year maturity and a coupon of 2% paid annually. Assume you buy the bond at its face value of $1,000, and the inflation rate is 10%. a. What will be your cash flow at the end of the year? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. What will be your real return? c. What will be your nominal return? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 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)?Consider a 25-year coupon bond which has a face value of $500 and a 5% coupon rate. Its current price is $500. The interest on this bond is expected to go up from 5% to 10% next year. a) Calculate the current yield of this 25-year coupon bond. b) Using the coupon bond pricing formula, calculate the expected price at which this bond will be sold next year. c) Calculate the expected rate of return if you buy the bond today and sell it next year. d) Are you going to invest on this bond if your investment horizon is just one year? Explain why or why not.Consider the following bond: Face value = 1000; coupon rate = 8%; maturity = 5 years; ytm = 7% A) What is the value of the bond today and in 2 years? b) what are the current yield and capital gains yield for this bond this year and in two years? c) Assuming interest rates remain the same over this bond's lifetime, what is going to happen to the value of this bond as time goes by?
- Assume a 1,000 face value bond with 20 years left until maturity. If the coupon rate is 10%, paid semi-annually, and the current yield is 8.85%, what should be the yield to maturity on this bond? Show your work. Please show how to solve using a financial calculator. p/y=2 FV=1,000 n=20*2Suppose 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.)
- Assume that the Pure Expectations Theory of the term structure is correct. Also assume that the interest rate today on a 9-year security is 6.40%, while the interest rate today on a 15-year security is 8.00%. Finally assume that the interest rate on a 3-year security to be bought at Year 9 and held over Years 10, 11, and 12 is 6.80%. Given this information, determine the average annual return that investors today must expect that they will receive from investing in a 3-year security in 12 Years (that is, buying the security at Year 12 and holding it over Years 13, 14, and 15). O 13.00% O 12.50% 13.50% O 12.00% O 14.00%Over the next three years, the expected path of 1-year interest rates 4, 1, and 1 percent. Today if you buy $1 of one-year bond and when it matures you use the money you receive to buy another one-year bond. then your expected rate of return for this $1 investment is ____% (round to the nearest integer). If the expectations theory of the term structure is true, then it implies that the current interest rat ein 2-year bond must be ____% (round to one decimal place x.x)Calculate the price of a $1,000, 5% bond with three years to maturity with 7.5% market interest rates. Assume annual coupon payments.What is the duration of this bond?Using the duration price approximation formula, calculate the expected price change in % if interest rates fall to 7.0%. If your answer is negative, don't forget the sign!