You have a 15-year maturity, 4% coupon, 6% yield bond with duration of 10.5 years and a convexity of 128.75. The bond is currently priced at $805.76. If the interest rate were to increase 200 basis points, your predicted new price for the bond (including convexity) is. Select one: O A. $662.23 OB. $642.54 OC. $705.03 D. $638.85
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- Consider a bond with a current value of $928.01. It is a 10-year, $1,000 bond, coupons paid semi-annually, and has a 7% coupon rate. a. The bond's yield to maturity (YTM) is: b. What will be its value (per $1,000 of face) if its YTM changes to 10%? Question content area bottom Part 1 a. The YTM is enter your response here%. (Round to two decimal places.) b. Value (per $1,000 of face): $enter your response here. (Round to the nearest cent.)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)Consider a risk-free zero-coupon bond with face value $1000, 20 years to maturity. If the yield to maturity (YTM) is 6%, the price at which this bond will trade is closest to: A. $167.44 B. $312 C. $214.55 D. $174
- You have a bond with the following features: - Semi-annual coupon payments. - Coupon rate 7.60%. - Face value $1,000. - 3.5 years to maturity. - Current market price $1,130. Requirements (A, B, and C are independent): 1. Calculate the duration and modified duration for this bond. Duration ___ Mduration ___ 2. Now, let’s assume the modified duration of this bond is 3 years. If the yield increases by 30 bps (basis points), what will the new price of the bond using modified duration? 3. If the yield drops by 75 bps, what is the actual new price of the bond?Suppose that the prices of zero-coupon bonds with various maturities are given in the following table. The face value of each bond is $1,000. Maturity (Years) 1 2 3 4 5 Price $983.78 865.89 797.92 732.00 660.24 Required: a. Calculate the forward rate of interest for each year. b. How could you construct a 1-year forward loan beginning in year 3? c. How could you construct a 1-year forward loan beginning in year 4?Consider a 25-year bond with a face value of $1,000 that has a coupon rate of 5.8%, with semiannual payments. a. What is the coupon payment for this bond? b. Draw the cash flows for the bond on a timeline. a. What is the coupon payment for this bond? The coupon payment for this bond is $ *** (Round to the nearest cent.)
- 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 ChundSuppose a bond has 10 years left to maturity, 13% coupon rate, pays interest annually. and has a 7% yield to maturity. If this bond has Macaulay duration of 6.75 years and the yield to maturity increases by 0.7%, an estimate of the convexity in the bond would be closest to: $2.59 $1.85 $3.78 O $1.61 None of aboveSuppose a thirty-year bond with a $10,000 face value pays a 0.0% annual coupon (at the end of the year), has 1 year left to maturity, and has a discount rate of 0.0%. Ceteris paribus, it follows that the current market price of the bond should be Select one: a. more $10,000. Ob. $10,000 c. less than $10,000. d. The market price of the bond cannot be determined from the information given.
- 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 the following fixed income security: Par: $1000 Coupon rate: 4% Maturity: 5 years YTM: 3.5% 7. What is the value of this bond? 8. What is Macauley’s Duration of this bond? 9. Were you to replicate the bond by holding a 1-year maturity Zero and a perpetuity at 4%, what percentage would you invest in the Zeros to match the bond?9If 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