. Bond Valuation. Consider a bond that matures in 3 years. The face value of this bond is $1000. The bond pays semi-annual coupons at a rate of 8%. (a) Calculate the price of this bond, assuming the yield to maturity is 8.5% (b) Suppose you hold this bond for two years and then sell it just after receiving a coupon payment. At the time of the sale, the yield to maturity has fallen to 7.8%. Calculate the price of the bond at the time of the sale. (c) What is your total dollar value and percent return over the holding period?
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- Suppose a 10-year, 10% semiannual coupon bond with a par value of 1,000 is currently selling for 1,135.90, producing a nominal yield to maturity of 8%. However, the bond can be called after 5 years for a price of 1,050. (1) What is the bonds nominal yield to call (YTC)? (2) If you bought this bond, do you think you would be more likely to earn the YTM or the YTC? Why?Please show how to work this out.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?
- Suppose you purchase a 10-year bond with 5% 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 3.49% 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.)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?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% annual coupons. You hold the bond for fouryears, and sell it immediately after receiving the fourth coupon. If the bond’s yield to maturitywas 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 internal rate of return of your investment?A bond has 10 years until maturity, a coupon rate of 8.1%, and sells for $1,190. Interest is paid annually. (Assume a face value of $1,000.) a. If the bond has a yield to maturity of 9.9% 1 year from now, what will its price be at that time? Note: Do not round intermediate calculations. Round your answer to nearest whole number. Price b. What will be the rate of return on the bond? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Negative amount should be indicated by a minus sign. Rate of return % c. If the inflation rate during the year is 3%, what is the real rate of return on the bond? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Negative amount should be indicated by a minus sign. Real rate of return %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% 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 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 buy a bond with 3 years to maturity. The face value is 1000 and the coupon rate is 12 %. Assume after holding the bond for one year the market interest rate falls to 8 % a. What will be the new price of your bond? b. What will be the annual rate of return on your bond? c. Discuss the interest rate risk on bonds using your results in parts (a) and (b)?