You invest in a 10-year Peloton bond that pays interest of 8.7% per year. If inflation is 6.1% per year, what is: The exact, real interest rate (Your answer should be a % carried to 3 places), and The approximate real interest rate? (Your answer should be a % carried to 1 place)
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You invest in a 10-year Peloton bond that pays interest of 8.7% per year. If inflation is 6.1% per year, what is:
-
- The exact, real interest rate (Your answer should be a % carried to 3 places), and
- The approximate real interest rate? (Your answer should be a % carried to 1 place)
Step by step
Solved in 3 steps
- Suppose that you buy a two-year 7.3% bond at its face value. a-1. What will be your total nominal return over the two years if inflation is 2.3% in the first year and 4.3% in the second? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Nominal return a-2. What will be your real return? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Real return % % Real return Nominal return b. Now suppose that the bond is a TIPS. What will be your total 2-year real and nominal returns? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) 1%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 that you buy a two-year 8.9% bond at its face value. a-1. What will be your total nominal return over the two years if inflation is 3.9% in the first year and 5.9% in the second? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) a-2. What will be your total real return? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) b. Now suppose that the bond is a TIPS. What will be your total 2-year real and nominal returns? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.)
- Suppose 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?You will receive $100 from a savings bond in 3 years. The nominal interest rate is 8%. a. What is the present value of the proceeds from the bond? b. If the inflation rate over the next few years is expected to be 3%, what will the real value of the $100 payoff be in terms of today's dollars? C. What is the real interest rate? d. Show that the real payoff from the bond [from part (b)] discounted at the real interest rate [from part (c)] gives the same present value for the bond as you found in part (a).Suppose 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? What will be your total real return? (b) Now suppose that the bond is a TIPS. What will be your total two-year real and nominal returns?
- Suppose that you buy a TIPS (inflation - indexed) bond with a 2- year maturity and a (real) coupon of 4.5% paid annually. If you buy the bond at its face value of $1,000, and the inflation rate is 8.75% in each year. What will be your cash flow in year 1 ?You will receive $100 from a savings bond in 2 years. The nominal interest rate is 8.40%. a. What is the present value of the proceeds from the bond? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. If the inflation rate over the next few years is expected to be 3.40%, what will the real value of the $100 payoff be in terms of today’s dollars? (Do not round intermediate calculations. Round your answer to 2 decimal places.) c. What is the real interest rate? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) d. Calculate the real payoff from the bond [from part (b)] discounted at the real interest rate [from part (c)]. (Do not round intermediate calculations. Round your answer to 2 decimal places.)You will receive $100 from a savings bond in 4 years. The nominal interest rate is 7.90 %. a) What is the present value of the proceeds from the bond? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. b) If the inflation rate over the next few years is expected to be 2.90%, what will the real value of the $100 payoff be in terms of today's dollars? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. c)What is the real interest rate? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. d)Calculate the real payoff from the bond [from part (b)] discounted at the real interest rate [ from part (c)]. Note: Do not round intermediate calculations. Round your answer to 2 decimal places.
- (b)You purchase the $110 bond today and sell it off next year at $108. What is its one-year rate of return (assume the bond’s coupon rate is 5% and its face value is $100)? If the expected inflation over the course of the year is 2%, what would the ex-ante real rate of return be for the bond on part (b)?You want to buy a 9 year bond with a maturity value of $3,000, and you wish to get a return of 5.5% annually. How much (in dollars) will you pay? (Round your answer to the nearest cent.)You will be paying $8,600 a year In tultion expenses at the end of the next two years. Bonds currently yleld 7%. Q. What is the present value and duration of your obligation? b. What maturity zero-coupon bond would Immunize your obligation? c. Suppose you buy a zero-coupon bond with value and duration equal to your obligation. Now suppose that rates immediately Increase to 9%. What happens to your net position, that is, to the difference between the value of the bond and that of your tultion obligation? d. What if rates fall Immediately to 5% ? Complete this question by entering your answers in the tabs below. Required A Required B Required C Required D What is the present value and duration of your obligation? (Do not round intermediate calculations. Round "Present value" to 2 decimal places and "Duration" to 4 decimal places.) \table[[,,,],[Present value,,,,,],[Duration,,years,,,]]