Consider a bond at par initially issued for a 30-year term. Its nominal rate (annual coupon) is 5%. You buy this bond when it still has 20 years of residual maturity. At that time, the market rate is 8%. A few days after your purchase, the market rate drops to 6% (this assumption is then always verified). You will sell your bond 12 years later (8 years before maturity). What will have been the overall annual profitability of your investment?
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| Consider a bond at par initially issued for a 30-year term. Its nominal rate (annual coupon) is 5%. You buy this bond when it still has 20 years of residual maturity. At that time, the market rate is 8%. A few days after your purchase, the market rate drops to 6% (this assumption is then always verified). You will sell your bond 12 years later (8 years before maturity). What will have been the overall annual profitability of your investment? |
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- Example: You buy a 10-year maturity bond for the face value of $1,000 when the current interest rate is 9%. A year later, you sell the bond for $980. Assuming annual coupon payment, a. What is the new yield to maturity on the bond when you sell the bond? b. What's your holding period return during the year?suppose you bought a 5- year-zero coupon Treasury bond for $800 per $1000 face value. Assume the yield to maturity on comparable bonds increases to 7% after you purchase the bond and remains there.Calculate your holding period return(annual return) if you sell the bond after one year.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 a
- 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 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 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.)
- For the following questions, assume the normal case that coupon payments are semi-annual. a. What is the yield to maturity on a 10-year, 5.3% coupon bond if the bond is currently selling for $1,000? b. For the bond above, suppose that immediately after purchase market rates change to 3.00%. If you hold the bond for 3 years and then sell it, what is your effective annual return on this investment? a. The YTM is % (enter response rounded to decimal places; i.e., x.xx%) b. Your effective annual return is % (enter response rounded to decimal places; i.e., x.xx%)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 you purchase a 10-year bond with 6.64% 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 5.17% 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.) OA. Years Cash Flows O B. Years C. Years Cash Flows Cash Flows - $114.06 O D. Years 0 Cash Flows $107.42 0 0 - $111.26 0 $111.26 1 $6.64 1 $6.64 1 $6.64 1 $6.64 2 $6.64 2 + $6.64 2 + $6.64 2 + $6.64 3 $6.64 3 $6.64 3 $6.64 3 $6.64 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.) 4 $114.06 4 $107.42 4 $114.06 4…Suppose 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?Suppose that you bought a 14% Drexler bond with time to maturity of 9 years for $1,379.75 (semiannual coupons, interest rate=8%). After another ½ year, you sold the bond. Assuming that the required rate of return remained at 8%, what would the selling price be? What is the rate of return from this investment? If the interest rate dropped by 25 basis points, what would the selling price be? What would the rate of return from this investment be?
