Suppose you recently paid $1000 for a new 30-year bond issued by AT&T. The interest ("coupon") rate is 6 percent, and for the sake of simplicity, let's assume that the $60 is paid once a year at the end of the year. Given the 6 percent interest rate, the present value of the bond's face value of $1000 paid thirty years from now is approximately $312. What is the present value of the stream of thirty, annual $60 payments? $350 O $1,000 $688 O $312 $805
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- 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 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…Suppose a bond is priced at $1108, has 18 years remaining until maturity, and has a 8% coupon, paid monthly. What is the amount of the next interest payment (in $ dollars)? $__________.
- 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 aSuppose that for a price of $960 you purchase a 7-year Treasury bond that has a face value of $1,000 and a coupon rate of 4%. If you sell the bond one year later for $1,120, what was your rate of return for that one-year holding period? The rate of return for the one-year holding period was %. (Round your response to one decimal place.)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?
- 1) Suppose that today's one-year interest rate is 5%. Consider the following one-year interest rates expected to occur over the next four years: 6%, 7%, 8% and 9%.a. Calculate the interest rate for two-year bonds, based on the expectations theory.b. What about five-year bonds?You wish to sell a bond that has a face valueof $5,000. The bond bears an interest rate of 7.5%,which is payable quarterly. Six years ago, the bondwas purchased at $4,800. At least a 9% annual returnon the investment is desired. What must be the minimum selling price of the bond now in order to makethe desired return on the investment?(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)?
- Suppose you purchase a 10-year bond with 6.3% 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 4.6% 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? Cash Flows - $113.39 $6.30 $6.30 $6.30 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.) $115.04Suppose the coupon rate is 10% issue at par $1000 and for 15 years. Let say the market interest rate increase to 15% during the life of the bond. a) What is the interest payment for this bond annually b) What is the interest payment on semi-annually c) How much should the investors pay for this bondi.e. the valueSuppose you purchase a 10-year bond with 6.1 % 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 4.7 % 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?