A 12-year maturity zero-coupon bond selling at a yield to maturity of 5.25% (effective annual yield) has convexity of 159.9 and modifiedduration of 11.06 years. A 30-year maturity 9.5% coupon bond making annual coupon payments also selling at a yield to maturity of5.25% has nearly identical duration-11.04 years-but considerably higher convexity of 258.4.a. Suppose the yield to maturity on both bonds increases to 6.25 %. What will be the actual percentage capital loss on each bond?What percentage capital loss would be predicted by the duration-with-convexity rule? (Input all amounts as positive values. Do notround Intermediate calculations. Round your answers to 2 decimal places.)ActualPredictedZero Coupon BondCoupon Bond%%%b. Suppose the yield to maturity on both bonds decreases to 4.25%. What will be the actual percentage capital loss on each bond?What percentage capital loss would be predicted by the duration-with-convexity rule? (Input all amounts as positive values. Do notround Intermediate calculations. Round your answers to 2 decimal places.)ActualPredictedZero Coupon BondCoupon Bond96%%

Bond Price Changes with Yield to Maturity ShiftWe can analyze the price changes for both bonds using…

Answered: A 12-year maturity zero-coupon bond…

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Yield to maturity (YTM) is the rate of return expected from a bond held until its maturity date. However, the YTM equals the expected rate of return under certain assumptions. Which of the following is one of those assumptions? The bond will not be called. The bond has an early redemption feature. Consider the case of BTR Co.: YTM YTC BTR Co. has 9% annual coupon bonds that are callable and have 18 years left until maturity. The bonds have a par value of $1,000, and their current market price is $1,100.35. However, BTR Co. may call the bonds in eight years at a call price of $1,060. What are the YTM and the yield to call (YTC) on BTR Co.'s bonds? Value If interest rates are expected to remain constant, what is the best estimate of the remaining life left for BTR Co.'s bonds? 13 years 10 years 5 years 8 years If BTR Co. issued new bonds today, what coupon rate must the bonds have to be issued at par?
The function s(t) = 0.16 − 0.04 e− t/4 provides the term structure of effective annual rates of zero coupon bonds of maturity t, with t in years. Find the following: (a) The effective annual rate of a 3 year zero coupon bond. (b) The 2-year forward effective annual rate for a one year period. (c) The forward effective annual rate for a one year period, 3 years forward. (d) The 3-year forward effective annual rate for a 3 month period. (e) The forward effective annual rate for a one day period, 3 years forward (the “overnight” rate).(Use 1/365 for a one-day period.)
Suppose a ten-year, $1,000 bond with an 8.9% coupon rate and semiannual coupons is trading for $1,035.96. 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.)
There are three bonds that mature at the same time, have the same par value, and are expected to pay their first annual coupon 1 next year. The bonds are detailed in the below table. Bond A B с PV PV PV Present Value B ? ? ? PV B If ca r, then what can we say about the prices of the bonds today? (Enter >, <, or ?) PV C PV Yield to Maturity C r rb Coupon Rate ca с с
The yield curve for default-free zero-coupon bonds is currently as follows: Maturity (years) YTM 1 9.8% 2 10.8 3 11.8 Required: a. What are the implied one-year forward rates? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Maturity (years) YTM Forward rate 1 9.8% 2 3 10.8% 11.8% % % b. Assume that the pure expectations hypothesis of the term structure is correct. If market expectations are accurate, what will the pure yield curve (that is, the yields to maturity on one- and two-year zero-coupon bonds) be next year? O There will be a shift upwards in next year's curve. O There will be a shift downwards in next year's curve. O There will be no change in next year's curve. c. What will be the yield to maturity on two-year zeros? (Do not round intermediate calculations. Round your answers to 2 decimal places.) YTM % d. If you purchase a two-year zero-coupon bond now, what is the expected total rate of return over the next year? (Hint: Compute the current…
One of the above is the most accurate statement?a. A bond is trading at a premium if its yield to maturity approaches its annual coupon.b. As interest rates rise, a 10-year coupon bond's relative price adjustment would be higher than that of a 10-year nil coupon bond.c. A coupon bond's present yield matches the yield to maturity whether it sells at par.d. Both a and c are true.e. None of the above claims are true.
a bond has an annual modified duration of 6.25 years and an annual convexity of 45.25. If the bond's yield to maturity decreases by 50 basis points, the expected percentage price change is closest to: a)3.07% b)-3.07% c)-2.65%
Suppose a ten-year, $1,000 bond with an 8.4% coupon rate and semiannual coupons is trading for $1,035.65. 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% 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.)
Consider a bond selling at par with modified duration of 10.6 years and convexity of 210. A 2% decrease in yield would cause the price to increase by 21.2%, according to the duration rule. What would be the percentage price change according to the duration-with-convexity rule? O [A] 21.2% O [B] 25.4% O [C] 17.0% O [D] 10.6%
Consider the characteristics of two annual pay bonds from the same issuer with the same priority in the event of default: You also observe the following spot interest rates from the current yield curve: Par value Coupons Maturity Coupon rate Yield to maturity Price Bond A $100 Annual 3 yrs 8% 10.25% 94.43 1 2 3 Bond B $100 Annual 3 yrs 4% 10.35% 84.31 Term (yrs) Spot Rates (zero coupon, %) 4% 7 10 Neither bond's price is consistent with the spot rates. Using the information in these displays, recommend either Bond A or Bond B for purchase. Justify your choice. Do not round intermediate calculations. Round your answers to the nearest cent. The non-arbitrage price of Bond A: $ The non-arbitrage price of Bond B: $ -Select- ✓ appears to be the better purchase.
Suppose a ten-year, $1,000 bond with an 8.1% coupon rate and semiannual coupons is trading for $1,034.08. 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% 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.)
Bond A has a duration of 14.2 and Bond B has a duration of 13.9 years. Therefore, relative to Bond B, Bond A has ________________ . A) a higher price B) a higher yield to maturity C) a longer time until maturity D) a higher price sensitivity to changes in the yield to maturity

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