A 7.7% bond with semiannual coupons is quoted at 102.97. The bond has 4 coupons left. The previous coupon was paid 34 days age. Use the approximated duration and convexity to calculate the estimated quoted price given a 150bp increase in the ytm
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- 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 = 1.886Consider an annual 2 year coupon bond paying a coupon rate of 7%. If it is 1000 par and the YTM= .06 A) What is the price of this bond? Answer: 1018.33 B) What is thebond’s modified duration? Answer: 1.82 C) Use the bond’s modified duration to estimate the pricechange of the bond if YTM changes to .055. (So positiveprice change of $40.2 would be written 40.2 and a negativeprice change of $40.2 would be writen as-40. Answer: 9.29 D) Price at 10 yearsemi-annual coupon bond with a 5%coupon rate and a YTM of 8%. If par is 1000. Answer: 796.14 Note: Please explain without using excel.ThanksSuppose the current price of the bond is $95, the YTM is 4%, and the duration of the bond is 9. If YTM decrease from 4% to 3.9%, approximate the change in price using duration of the bond. Price would increase by ____%
- 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?A zero-coupon bond has a $1,000 par value, 7 years to maturity, and sells for $554.63. What is its yield to maturity? Assume annual compounding. Record your answer to the nearest 0.01% (no % symbol). E.g., if your answer is 3.455%, record it as 3.46. 27The yield curve reveals that the 1-year spot rate is 6.9% and the 2-year spot rate is 9.0%. What is the duration of a 2-year bond with a face value of $1,000.00 making annual coupon payments of 35.6%? Do not report the modified duration. O a. 1.17 O b. 1.28 O c. 1.65 O d. 1.90 O e. 1.05 Of. 1.43 O g. 1.77 O h. 1.53
- Consider the coupon bond issued by XYZinc Term:3years Payment:175 Facevalue:500 Currently the prevailing risk free rate is 0.03 and the market places a risk premium on XYZ inc bonds of 0.01. suppose the risk free rate decreases by 0.03.compute the change in the bond price.Consider a 26-year bond with 6 percent annual coupon payments. The market rate (YTM) is 8.6 percent for this bond. The current yield of the bond is__________ percent. Answer it in percentage without the % sign, and round it to two decimal place, e.g., 5.69. Your Answer: Answer ChundUsing a two-year semiannual 8% coupon bond, 1000 par, with a 5% YTM. For this question find all answers to at least the 6thdecimal place. A.Calculate the price of this bond C.Using modified duration calculate Change in p over p for a change in y of 1% and5%.
- Consider a zero-coupon bond with a $1000 face value and 10 years left until maturity. Assuming that this bond trades for $1112, then the YTM for this bond is closest to: A) 8.0%. B) 3.4%. C) 6.8%. D) 9.2%.For a 1 year tbill.. with a coupon of 0.75 n = 1 face value = 98.503 market price = 98.434 what is the yield of the bondConsider an inverse floating rate coupon bond with 1 year remaining to maturity. On maturity, bondholders are expected to receive $100 face value. Coupons are paid quarterly and the current 3-mth LIBOR observed rate is 5.234% p.a. The annual coupon rate is specified as: Annual coupon rate = 20% p.a. – 30 where Cis the annual 3-mth LIBOR rate. Assume, for simplicity, that the annual 3-mth LIBOR rate will never exceed 6.67% p.a. (so that the annual coupon rate defined above is always a positive number). The following table shows the current LIBOR continuously compounded rate with different maturities: Maturity LIBOR Maturity LIBOR 5.0% р.а. 5.1% р.а. 5.2% р.а. 5.3% p.a. 5.3% p,a. 5.4% p.a. 5.5% p.a. 5.5% р.a. 5.6% p.a. 5.7% р.a. 5.8% p.a. 1 7 2 8 3 4 10 11 6 12 5.9% p.a For example, the 1-mth LIBOR is 5.0% p.a. compounded continuously. You can treat the LIBOR rates presented in table above as the discount rates/spot rates with different maturities. Required: What is the current price of…