1. Consider a coupon bond purchased on the secondary market with annual coupon payments, a face value of $1,000, 10 years until maturity, a coupon rate of 5%. If the current interest rate is 6%, what is the present value of the bond?
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- Suppose that the constant and perpetual cash flow is $1,000 and the discount rate is 10%. What is the value of this perpetuity? 5-year bond with a coupon rate of 4% has a face value of $1000. What is the annual interest payment?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).You want to buy a 6 year bond with a maturity value of $6,000, 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.) $
- Suppose you purchase a 10-year bond with 6% annual coupons. You hold the bond for four years and sell it immediately after receiving the fourth coupon. If the bond's yield to maturity was 4.01% 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 internal rate of return of your investment? Note: Assume annual compounding. The cash flow at time 1-3 is $ (Round to the nearest cent. Enter a cash outflow as a negative number.) (Round to the nearest cent. Enter a cash outflow as a negative number.) The cash outflow at time 0 is $ The total cash flow at time 4 (after the fourth coupon) is $ negative number.) b. What is the internal rate of return of your investment? (Round to the nearest cent. Enter a cash outflow as ab) suppose that the market interest rate is 5%. Calculate the present value of the following. Show how your answer is obtained. i)A coupon bond with an annual coupon payment of $135 and a face value of $1500 that matures in five years. ii) A discount bond with a face value of $5000 that matures in one years. iii) A fixed payment loan with annual payments of $163 that matures in three years.Suppose you purchase a ten-year bond with 12% annual coupons. You hold the bond for four years and sell it immediately after receiving the fourth coupon. If the bond's yield to maturity was 10.64% 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 internal rate of return of your investment? Note: Assume annual compounding. a. What cash flows will you pay and receive from your investment in the bond per $100 face value? The cash flow at time 1-3 is $ (Round to the nearest cent. Enter a cash outflow as a negative number.) The cash outflow at time 0 is $ number.) (Round to the nearest cent. Enter a cash outflow as a negative The total cash flow at time 4 (after the fourth coupon) is $. (Round to the nearest cent. Enter a cash outflow as a negative number.) b. What is the internal rate of return of your investment? The internal rate of return of your investment is %. (Round to two decimal…
- You will be paying $10,000 a year in tuition expenses at the end of the next two years. Bonds currently yield 8%.a. 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 tuition obligation?d. What if rates fall immediately to 7%?You are considering a 10-year, Rs. 1000 par value bond. Its coupon rate is 10% and interest is paid semiannually. Ifyou require an effective annual interest rate of 8%, how much should you be willing to pay for the bond? Is effective annual interest rate differing from coupon rate? Explain.You have an opportunity to purchase a bond that will pay out $815 in 10 months. If you would like to earn at least a 2.2% annual rate of simple interest on your investment, what is the largest amount the you should pay for the bond? Round your answer to the nearest cent.
- 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 purchase a 10-year bond with 6.4% annual coupons. You hold the bond for four years, and sell it immediately after receiving the fourth coupon. If the bond's yield to maturity was 5.5% 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. Year 0 1 2 3 4 Cash Flows $110.90 $6.40 $6.40 $6.40 $104.50 B. Year 0 1 2 3 4 Cash Flows - $106.78 $6.40 $6.40 $6.40 $110.90 C. Year 0 2 3 4 Cash Flows $104.50 $6.40 $6.40 $6.40 $110.90 OD. Year 1 2 3 Cash Flows $106.78 $6.40 $6.40 $6.40 $110.90 b. What is the annual rate of return of your investment? The annual rate of return of your investment is %. (Round to one decimal place.)Consider a bond that promises the following cash flows. The required discount rate is 15%. Year 0 1 2 3 4 Promised Payments 160 170 180 230 You plan to buy this bond, hold it for 3 years, and then sell the bond. What total cash will you receive from the bond after the 3 years? Assume that periodic cash flows are reinvested at 15%