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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- Consider 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.ThanksConsider 3-year 6% bond with the par of $100 and semi- annual coupon payments. The YTM of the bond is 8%. Also, suppose that the dollar duration is 253.96. What would be the bond price if the yield were 9%? What would be the price change due to duration? What would be the price change due to convexity? Price = 97.26; Change due to Duration = +2.54; Change due to Convexity = -0.04 Price = 96.84; Change due to Duration = +2.12 ; Change due to Convexity = -0.04 Price = 92.26; Change due to Duration = -2.54; Change due to Convexity = +0.04 Price = 92.68; Change due to Duration = -2.12 ; Change due to Convexity = +0.04Suppose 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. 27Consider 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 ChundIf you have a coupon bond, its face value is $1,000 and the coupon rate is 4%. Complete the following table, then calculate the rate of return for the bond. If you know that it was purchased at the nominal value, comment on the results. due date return at maturity the price 2 0.02 3 0.04 5 0.06 Present Value Annuity value % n value % n 0.961 0.02 2 1.97 0.02 2 0.925 0.04 2 1.89 0.04 2 0.889 0.04 3 2.78 0.04 3 0.906 0.02 5 4.71 0.02 5 0.747 0.06 5 4.21 0.06 5
- Using 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%.A 6% coupon bond with semiannual coupons has a convexity (in years) of 120, sells for 80% of par, and is priced at a yield to maturity of 8%. If the YTM increases to 9.5% what is the predicted contribution of convexity to the percentage change in price due to convexity?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%.
- A $1000 bond with coupons at j2 = 8% is purchased to yield j2 = 7%. The write down in the first period after purchase is $4.01. What is the purchase price of the bond?Consider 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…1. Consider an annual 4 year coupon bond paying a coupon rate of 5%. If it is 1000 par and the YTM= .04 (use atleast5 decimal places for this question) A. What is the price of this bond? B) What is the bond modified duration? C) Use the bond’s modified duration to estimate the price change of the bond if YTM changes to .045. (So positive price change of $40.2 would be written 40.2 and a negative price change of $40.2 would be writen as-40.2) Please explain without using excel