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- 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.) 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 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.)Assume you have the following asset and liability in your Balance Sheet: Asset - Bond A Modified Duration = 2.6 years Value = RM1.5 million Liability - Bond B Modified Duration = 3.1 years Value = RM1.0 million a. Calculate the duration gap. b. What is the expected change in Net Worth if interest increases by 1%? c. What should or could you to achieve immunised balance sheet? Note: Please show all workings.
- 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?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?Assume you have the following asset and liability in your Balance Sheet: Asset - Bond A Modified Duration = 2.6 years Value = RM1.5 million Liability - Bond B Modified Duration = 3.1 years Value = RM1.0 million a. Calculate the duration gap. b. What is the expected change in Net Worth if interest increases by 1%? Assume previous interest is 10% c. What should or could you to achieve immunised balance sheet? Note: Please show all workings.
- Suppose for $1,000 you could buy a 10%, 10-year, annual payment bond or a 10%, 10-year, semiannual payment bond. They are equally risky. Which would you prefer? If $1,000 is the proper price for the semiannual bond, what is the equilibrium price for the annual payment bond?Suppose in the question above, the tuition obligations have a Macaulay duration of 4.35 in years, and that you wish to immunize the tuition payments by buying a single issue of a zero coupon bond. What maturity zero coupon bond should you buy? Assume annual compounding. Round your answer to 2 decimal places.Suppose that the 9-month and 12-month LIBOR rates are 4% and 4.2%, respectively. What is the value of an FRA where 5% is received and LIBOR is paid on £1 million for the quarterly period? All rates are quarterly compounded and expressed as per annum. Assume that LIBOR is used as the risk-free discount rate. Select one: a. £478.115 b. £422.870 c. £479.062 d. £426.132
- Suppose you invest in a municipal bond that pays a yield of 9%. If your marginal tax is 17%, what is the equivalent yield on the taxable bond?Suppose government economists have forecasted one-year T-bill rates for the following two years. They are as follows: Year 1-year rate 1 4.50% 2 5.00% At what annual required rate of interest, bond investors would be willing to purchase a 2-year T-bond now? 9.725% or higher. 4.75% or higher. 4.875 or lower. 9.50% or lower.P1)The interest rate is 8.3%. A company wants to sell a one-year bond for $1000 today. There is a 2% chance the company will default on its bond and only be able to repay 94% of the $1000 principal amount (and none of the coupon). What coupon rate must the company set for the bond? Give your answer in percentage to the nearest 0.1 percent. P2)*A project will have one of the following time 1 payoffs, each with the corresponding probability. $99 with probability 13%.$314 with probability 58%.$506 otherwise. The discount rate is 9.8%. The project is partially financed with debt with a time 1 promised payoff of $218. What is the promised return on the debt? Give your answer in percentage to the nearest 0.1 percent.