A 6% semi-annual coupon bond has 2 years to maturity. Calculate its price (per 100 of par value) and the yield-to-maturity based on the following spot rates. Time to Maturity (Years) 0.5 2.0 Spot Rate 8.2% 8.4% 87% 8.9% Discount factor (1+Spot rate/2) 1.041 1.042 1.0435 1.0445
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- Bond Yields and Rates of Return A 10-year, 12% semiannual coupon bond with a par value of 1,000 may be called in 4 years at a call price of 1,060. The bond sells for 1,100. (Assume that the bond has just been issued.) a. What is the bonds yield to maturity? b. What is the bonds current yield? c. What is the bonds capital gain or loss yield? d. What is the bonds yield to call?Current Yield with Semiannual Payments A bond that matures in 7 years sells for $1,020. The bond has a face value of $1,000 and a yield to maturity of 10.5883%. The bond pays coupons semiannually. What is the bond’s current yield?What are the Modified Duration and Macaulay Duration of the following bond? Coupon Rate = 8% (Semi-annually paid) YTM = 9% Maturity = 2 Years Par Value = 1,000 (Hint: this question is similar to Example 1 and Example 2 on slides) ModD = 1.886 and MacD = 1.805 ModD = 1.784 and MacD = 1.954 ModD = 1.954 and MacD = 1.784 ModD = 1.805 and MacD = 1.886
- 1. Consider the following bond that pays coupon interest semi-annually. Coupon Yield to maturity Maturity (Years) Par Value Bond 8% 6% 2 $100 a) What is the price value of a basis point? Assuming one basis point decrease. b) Compute the Macaulay duration theoretically. What is the modified duration? c) Compute the approximate duration by increasing yield by 20 basis points and compare your answers with those calculated in part (b). d) Compute the convexity measure theoretically. e) When the yield increases by 20 basis points, what is the new bond price? What is the estimated bond price using duration calculated in part (b)? What is the estimated bond price using duration calculated in part (b) together with the convexity calculated in part (d)?Consider information on the following bonds (with face value 100): Bond Maturity (years) Coupon rate Yield-to-maturity А 1 0% 5.0% В 2 5% 5.5% C 3 6% 6.0% Coupons are paid annually. What is the three-year spot interest rate?2. Consider a bond with a 7.5% annual coupon rate and a face value of $1,000. Calculate the bond price and duration & show your work. Years to Maturity Interest rate Bond Price Duration 4 6. 6. 9. What relationship do you observe between yield to maturity and the current market value? What is the relationship between YTM and duration?
- Suppose a 10-year, $ 1 comma 000 bond with an 8.1% coupon rate and semi - annual coupons is trading for a price of $1 comma 034.81. a. What is the bond's yield to maturity (expressed as an APR with semi - annual compounding)? b. If the bond's yield to maturity changes to 9.7% APR, what will the bond's price be?Suppose a bond with a 12% coupon rate and semiannual coupons, has a face value of $1,000, 10 years to maturity and is selling for $1,197.93. Calculate: A. Current yield, and B. YTM if the price of the bond in one year is $2,014.83 STEPS MAY INCLUDE USE OF FINANCIAL CALCULATOR (BA 2 PLUS)The current zero-coupon yield curve for risk-free bonds is as follows: Maturity (years) 1 5.03% YTM What is the price per $100 face value of a two-year, zero-coupon, risk-free bond? 2 5.48% The price per $100 face value of the two-year, zero-coupon, risk-free bond is $ 3 5.79% (Round to the nearest cent.) 4 5.93% 5 6.04%
- The current zero-coupon yield curve for risk-free bonds is as follows: Maturity (years) 1 2 3 4 5 YTM 5.01% 5.48% 5.75% 5.97% 6.02% What is the price per $100 face value of a two-year, zero-coupon, risk-free bond?← Suppose a ten-year, $1,000 bond with an 8.6% coupon rate and semiannual coupons is trading for $1,034.51. a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)? b. If the bond's yield to maturity changes to 9.7% APR, what will be the bond's price? a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)? The bond's yield to maturity is%. (Round to two decimal places.)Suppose a 10-year, $1,000 bond with a coupon rate of 8.7% and semiannual coupons is trading for $ 1,034.28 a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)? b If the bond's yield to maturity changes to 9.9% APRwhat will be the bond's price?