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A bond with a 8-year duration is worth $1,077, and its yield to maturity is 7.7%. If the yield to maturity falls to 7.57%, you would predict that the new value of the bond will be approximately
Multiple Choice
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$1,075.60
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$1,077.00
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$1,087.45
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$1,078.40
Step by step
Solved in 3 steps with 2 images
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- The duration of a bond is 5.4. The convexity is calculated by a 20-year bond that has an effective yield of 7% and a price of 103.10. If the bond’s yield falls to 6.5% then the price increases to 103.51. If the bond’s yield increase to 7.5% then the price decreases to 102.94. Calculate the estimated new price of the bond if it increases by 50 basis points.← Suppose a seven-year, $1,000 bond with an 8.4% coupon rate and semiannual coupons is trading with a yield to maturity of 6.65%. a. Is this bond currently trading at a discount, at par, or at a premium? Explain. b. If the yield to maturity of the bond rises to 7.05% (APR with semiannual compounding), what price will the bond trade for? a. Is this bond currently trading at a discount, at par, or at a premium? Explain. (Select the best choice below.) O A. Because the yield to maturity is less than the coupon rate, the bond is trading at a premium. B. Because the yield to maturity is greater than the coupon rate, the bond is trading at par. OC. Because the yield to maturity is greater than the coupon rate, the bond is trading at a premium. D. Because the yield to maturity is less than the coupon rate, the bond is trading at a discount.Suppose 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 ____%
- Compute the price of a risk-free bond with a face value of $1,000 that has seven years left to maturity, a coupon rate of 5%, and annual interest payments. Assume it just made a coupon payment (i.e., it has seven annual payments left). The current term structure of risk-free rates is provided below. Face value Coupon rate $ 1,000.00 5.00% Term structure Maturity 1 2 3 4 5 6 7 Risk-free yields 1.00% 1.50% 2.00% 2.50% 3.00% 3.50% 4.00% Coupon payment Face value Cash flows PV (CF) PriceA bond has a Macaulay duration of 12.00 and is priced to yield 10.0%. If interest rates go up so that the yield goes to 10.5%, what will be the percentage change in the price of the bond? Now, if the yield on this bond goes down to 9.5%, what will be the bond's percentage change in price? Comment on your findings.A Treasury bond has a face value of $100, a maturity of 20 years, a coupon of 4%, and pays the coupon every six months, at the end of each six month period. The price of the bond is $105. What is the yield of this bond? a. 3.65% b. 1.8% C. 1.7% d. 3.8%
- A bond currently has a price of $1,050. The yield on the bond is 6%. If the yield increases 27 basis points, the price of the bond will go down to $1,028. The duration of this bond is __________ years. (Select the closest answer.) Multiple Choice 7.32 8.27 8.42 7.78A bond with a 9-year duration is worth $1,086, and its yield to maturity is 8.6%. If the yield to maturity falls to 8.38%, you would predict that the new value of the bond will be approximately $1,083.61 $1,086.00 $1,105.77 $1,088.39a) A bond has 15 years left to maturity. The annual coupon rate is 9%, and face value is $1,000. If the YTM = 12%, what is the bond price? b) An annual coupon bond has coupon payment = $500, YTM =8%, and maturity = 5 years. If the price ofthe bond is $9,400, what must be the face value? c)A bond has 15 years left to maturity. The semi-annual coupon rate is 9%, and face value is $1,000. If the YTM = 12%, what is the bond price? for all 3 parts please show all calculations via excel, and how you got them in excel (formulas). thanks.
