• Maturity: 5 years • Face value: $10,000 • Coupon rate: 4% (makes coupon payments every 6 months until t maturity period) If the price of this coupon bond is $12,000 today, does it make sense bond? You can assume the risk free rate will be 2% until
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- You want to invest in a risk-free investment for the next 3 years. You can invest in a 3-year zero coupon bond or you can invest in a 1-year zero coupon bond now, then in one year from now invest in a 2- year zero coupon bond. The spot interest rate on the 3-year bond is 3.25%. The spot interest rate on the 1-year bond is 2%. What spot interest rate do you expect to earn on a 2-year bond in one year from now?Consider investing your savings in a coupon bond with the following properties: Maturity: 5 years Face value: $10,000 Coupon rate: 4% (makes coupon payments every 6 months until the end of the maturity period) If the price of this coupon bond is $12,000 today, does it make sense to buy this bond? You can assume the risk free rate will be 2% until the bond reaches maturity.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.)
- Consider an annual coupon bond with a face value of $100, 10 years to maturity, and a price of $95. The coupon rate on the bond is 3%. If you can reinvest coupons at a rate of 1% per annum, then how much money do you have if you hold the bond to maturity?Suppose your friend is debating purchasing a bond that has a $1,000 par value, 13 years to maturity, and a 7% annual coupon. Your friend would like to determine the yield to maturity if the bond sells for a price of $980. In order to use your financial calculator to solve for the rate of return on this bond, you need to know the following information: PV: the bond's value or price N: the number of years before the bond matures PMT: the dollars of interest paid each year, which equals the coupon rate times the par value of the bond FV: par, or maturity, value of the bond Complete the following table by selecting the appropriate values for N, PV and PMT. Then use your financial calculator to solve for the rate of return, and complete the final row of the table. Input $1,000 Keystroke I/Y PV PMT FV Output Suppose your friend wants to know what price the bond will be in three years assuming the yield to maturity remains constant. To calculate what the bond price will be three years from…Assume you can buy a bond that has a par value of $1000, matures in 10 years, yielding 6% and has a duration of 5. If you would like to use this bond to form a guaranteed investment contract “GIC” and offer a guaranteed rate of return to investors for certain years. a. what is the maximum yield you can offer? Why? Explain. b. For how many years would you make the guarantee? Explain.
- You are deciding whether to buy a bond. The bond will pay out $1,000 in 5 years. But there is uncertainty over the interest rate. Between now and year 1 (period 0 and period 1), uncertainty will be resolved immediately after time 0. There is • 50 percent chance r = 0.1 • 50 percent chance r = 0.05 Interest compounds annually. What is the expected value of the bond?.Answer the following two questions: a. A bond with a face value of $1200 has a 10% coupon rate, its current price is $950, and its price is expected to increase to $1000 next year. Calculate the expected rate of return. b. If the interest rate is 2 percent, what is the present value of a security that pays you $100 next year, $110 two years from now and $120 three years from now? If this security sold for $320 instead, is the yield to maturity greater or less than 2 percent? Explain why (No calculation needed).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 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?Consider a bond with a face value of $2,000 that pays a coupon of $150 for 10 years. Suppose the bond is purchased at $500, and can be resold next year for $400. What is the rate of return of the bond? What is the yield to maturity of the bond?