4. Suppose the U.S. Federal Reserve offers a bond for $635.20 at 8 years to maturity. You will not have to issue payments until the maturity date, at which time you will receive $950. Calculate the interest rate if you decide to buy it. Determine the interest rate if you manage to buy it at a price of $555.
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4. Suppose the U.S. Federal Reserve offers a bond for $635.20 at 8 years to maturity. You will not have to issue payments until the maturity date, at which time you will receive $950. Calculate the interest rate if you decide to buy it. Determine the interest rate if you manage to buy it at a price of $555.
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- Suppose the U.S. Treasury offers to sell you a bond for $687.25. No payments will be made until the bond matures 5 years from now, at which time it will be redeemed for $1,000. What interest rate would you earn if you bought this bond at the offer price?The U.S. Treasury offers to sell you a bond for $613.81. No payments will be made until the bond matures 10 years from now, at which time it will be redeemed for $1,000. What interest rate would you earn if you bought this bond at the offer price?Consider a bond that promises the following cash ows. The required discount rate is 12%. Year 0 1 2 3 4 Promised Payments 160 170 180 230 You plan to buy this bond, hold it for 2.5 years, and then sell the bond. a.What total cash will you receive from the bond after the 2.5 years? Assume that periodic cash ows are reinvested at 12%. b.Assuming all market interest rates are 12%, what is the duration of this bond?
- The bank offers to sell you a bond for 585.43. No payment will be made until the bond matures 10 years from now at which time it will be redeemed for 1000. What interest rate would you earn if you bought this bond for 585.43? What rate would you earn if you could buy the bond for 550? For 600?Suppose the government decides to issue a new savings bond that is guaranteed to double in value if you hold it for 18 years. Assume you purchase a bond that costs $50. a. What is the exact rate of return you would earn if you held the bond for 18 years until it doubled in value? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. If you purchased the bond for $50 in 2020 at the then current interest rate of .28 percent year, how much would the bond be worth in 2030? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c. In 2030, instead of cashing in the bond for its then current value, you decide to hold the bond until it doubles in face value in 2038. What annual rate of return will you earn over the last 8 years? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a. Rate of return b. Bond value c. Rate…Suppose the government decides to issue a new savings bond that is guaranteed to double in value if you hold it for 18 years. Assume you purchase a bond that costs $100. a. What is the exact rate of return you would earn if you held the bond for 18 years until it doubled in value? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. If you purchased the bond for $100 in 2020 at the then current interest rate of .22 percent year, how much would the bond be worth in 2028? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c. In 2028, instead of cashing in the bond for its then current value, you decide to hold the bond until it doubles in face value in 2038. What annual rate of return will you earn over the last 10 years?
- 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.)Suppose the government decides to issue a new savings bond that is guaranteed to double in value if you hold it for 24 years. Assume you purchase a bond that costs $25. a. What is the exact rate of return you would earn if you held the bond for 24 years until it doubled in value? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. If you purchased the bond for $25 in 2020 at the then current interest rate of 15 percent year, how much would the bond be worth in 2031? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c. In 2031, instead of cashing in the bond for its then current value, you decide to hold the bond until it doubles in face value in 2044. What annual rate of return will you earn over the last 13 years? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)How much will a $49,200 EE savings bond cost when you initially purchase it? Assuming the bond earns 2.69 percent annually, approximately how long will it take for the bond to reach its stated face value? When you initially purchase it, the EE saving bond will cost $ 24,600. (Round to the nearest dollar.) Assuming the bond earns 2.69 percent annually, the length of time it will take for the bond to reach its stated face value is years. (Round to one decimal place.)
- 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.You will receive $100 from a savings bond in 2 years. The nominal interest rate is 8.40%. a. 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.) b. What is the real interest rate? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) c. Calculate the real payoff from the bond [from part (a)] discounted at the real interest rate [from part (b)]. (Do not round intermediate calculations. Round your answer to 2 decimal places.)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).