Find the price of a 100$ par value 20-year bond with annual coupons of 1 the first year, 2 the second year, ..., 20 the last year, bought to yield an annual effective interest rate of 5% over the first 10 years and an annual effective interest rate of 4% over the second 10 years.
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A: a) The computation of yield to maturity as follows: Hence, the YTM is 8.27%.
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A: PMT = 8% of 1000 = 80 FV = 1000 rate = 6.5% N = 19 use PV function in Excel
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A: The price of the bond is the amount the investors are willing to pay for the bond today.
Find the price of a 100$ par
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- Find the value of a bond maturing in 11 years, with a $1,000 par value and a coupon interest rate of 11% (5.5% paid semiannually) if the required return on similar-risk bonds is 15% annual interest (7.5% paid semiannually). The present value of the bond is ?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 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…
- Find the duration (in years) of a 4-year bond with the following characteristics: $10,000 face value, 10% coupon paid annually, 12% market rates.Suppose 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?
- Consider a level coupon bond that pays $500 every six months (beginning in the next period) for 3 years, plus an additional $1,000 in 3 years. Assume a constant annual interest rate of 10%. What is the price of the bond today?Suppose that a 20-year 7% bond selling for $816 and held to maturity has reinvestment rate of 6%. Coupon is paid twice a year. Par value is $1,000. What is the annual total return?1. Consider a ten-year coupon bond that has a present value of $5,000. If the rate of discount is 5 percent, and the payment made at the end of each year is $250, what is the principal amount to be repaid at the end of ten years? Show your work.
- 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 5 -year $ 1000 par value bond with 10% coupon paid annually. If the yield to maturity is7%, what is the duration? A) 10 years B) 5.00 years C) 4.22 years D) 3.37 years E) 2.61 yearsAssume 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 value
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