You purchase a 30-year, zero-coupon bond for a price of $15. The bond will pay back $100 after 30 years and make no interim payments. The annual compounded return (geometric average return) on this investment is OA 6.2% OB. 7.83 % OC. 5.55 % OD. 6.53 %
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- 1. Consider a real return bond with a face value of $15,000 and a coupon yield of 5.2%. What is the coupon payment after one year if the inflation rate is 6.8%? Select one: a) $817.44 b) $833.04 c) $825.24 d) $809.64 IYou buy an 8-year, 3.30% annual - payment coupon bond priced to yield 5.30 %. You sell the bond at year - end, immediately after receiving the first coupon payment. Assuming the YTM stayed constant over the holding period, what are your capital gains from the sale of the bond? A. -0.09 B. -0.02 C. 0.02 D. 0.09Suppose 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 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…A 2-year maturity bond with face value of $1,000 makes annual coupon payments of $88 and is selling at face value. What will be the rate of return on the bond if its yield to maturity at the end of the year is: Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. a. 6% b. 8.8% c. 10.8% Rate of Return % % %Using duration and convexity approximation, compute the percentage price change on a 10-year fixed coupon bond, if the interest rate increases by 1%. The modified duration of the bond is 6 years, and convexity is 200 year2. Group of answer choices -6% -5% 7% -7%
- A n-year annual coupons bond with coupon rate r per year. The yield rate is 0.10. Calculate the Macaulay duration of the bond for all four possible combinations of parameters: • n = 10 or 30 • r = 0.05 or 0.15Suppose you are considering two possible investment opportunities: a 12-yearTreasury bond and a 7-year, A-rated corporate bond. The current real risk-free rateis 4%, and inflation is expected to be 2% for the next 2 years, 3% for the following4 years, and 4% thereafter. The maturity risk premium is estimated by this formula:MRP = 0.02(t - 1)%. The liquidity premium (LP) for the corporate bond is estimatedto be 0.3%. You may determine the default risk premium (DRP), given thecompany’s bond rating, from the table below. Remember to subtract the bond’s LPfrom the corporate spread given in the table to arrive at the bond’s DRP. Whatyield would you predict for each of these two investments?RateCorporate Bond YieldConsider a coupon bond with an 8% annual coupon rate, a 10% interest rate, and a$1000 face value. The bond will mature in 4 years. What is the duration of this bond? Duration isdefined as a weighted average of the maturities of the cash payments. Suppose the weightassigned to the maturity of 1 year is W. Show your work A: Duration=2.28 and W=7.77%B: Duration=3.56 and W=20.5%C. Duration=3.56 and W=23.1%D. Duration=3.56 and W=7.77%
- 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…