The current price of a 1-year $1000 zero-coupon bond is $943.40. Suppose the one-yearforward rate in year 1 is f₁ = 6.8% and the one-year forward rate in year 2 is f₂ = 7.5%.Compute the price of a 2-year $1000 zero-coupon bond and a 3-year $1000 zero-coupon bondusing these forward rates and the implied spot rate from the 1-year bond.

Answered: The current price of a 1-year $1000…

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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Bond J has a coupon rate of 6 percent. Bond K has a coupon rate of 9 percent. Both bonds have 9 years to maturity, make semiannual payments, and have a YTM of 7 percent. If interest rates suddenly rise by 3 percent, what is the percentage price change of Bond J? -17.95% -15.97% -16.97% -17.97% If Interest rates suddenly rise by 3 percent, what is the percentage price change of Bond K? -14.82% -16.80% -16.82% 27.26% If interest rates suddenly fall by 3 percent, what is the percentage price change of Bond J? -17.99% 23.11% 23.09% -23.38% If interest rates suddenly fall by 3 percent, what is the percentage price change of Bond K? 21.46% -4.84% 21.34% -16.84%
Explain what you see from the pricing calculations. How do the two bonds differ? Bond C Bond Price = PV(rate,nper,pmt,fv) Given: n = Period which takes values from 0 to the nth period = 0,1,2,3 & 4 Cn = Coupon payment in the nth period = 10%*$1,000 = $100 YTM = interest rate or required yield = 9.6% P = Par Value of the bond = $1,000 Bond Z Bond Price = PV(rate,nper,pmt,fv) Given: n = Period which takes values from 0 to the nth period = 0,1,2,3 & 4 Cn = Coupon payment in the nth period = 0%*$1,000 = $0.00 YTM = interest rate or required yield = 9.6% P = Par Value of the bond = $1,000 years Bond A Bond Z 4 $1,012.79 $693.04 3 $1,010.02 $759.57 2 $1,006.98 $832.49 1 $1,003.65 $912.41 0 $1,000.00 $1,000.00
Consider a bond with semiannual interest payments that has a Settlement Date of 8/15/2020, a Maturity Date of 2/15/2031, a Coupon Rate of 5.00%, a Market Price of $975, a Face Value of $1,000, and a Required Return of 5.35%. What is the Macaulay Duration using the Duration function on these bonds expressed as a decimal calculated to two decimal places if you purchase them at the current market price? For example, if your answer is 12.345 then enter as 12.35 in the answer
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?
Suppose a ten-year, $1,000 bond with a 8.9% coupon rate and semiannual coupons is trading for$1,035.32. 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 9.4% APR, what will be the bond's price? The bond's yield to maturity is ______%. (Round to two decimal places.)
Suppose you observe the following zero - coupon bond prices per $1 of maturity payment: 0.96154 (1-year), 0.91573 (2-year), 0.87630(3-year), 0.82270 (4- year), 0.77611 (5-year). What is the par coupon rate for the 4-year bond? Question 3 options: 3.999834% 4.488965% 4.492350 % 4.957679 % 5.144082%
A l-year zero coupon bond has a par value $100 and is priced at $97. A 2-year zero coupon bond has a par value $100 and costs $90. An investor is uncertain about future yields but believes that the expected value of the future short rate (a year from today) is 4%. Compute YTM for both bonds. (Express in %, round-up all your answers to 2 decimal places.) 1. 2. Based on the investor's beliefs, what is the expected value of the price of the second bond a year from today? (Express in dollars, round-up your answer to 2 decimal places.)
You find a zero coupon bond with a par value of $10,000 and 19 years to maturity. The yield to maturity on this bond is 4.7 percent. Assume semiannual compounding periods. What is the price of the bond? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.
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 bond the coupon rate is 120% of the yield rate and the premium is p. For another $1 bond with the same number of coupons and the same yield rate, the coupon rate is 80% of the yield rate. Express the price of the second hond as a function of p. Price of the second bond = P.
Consider 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 = +0.04
Suppose a ten-year, $1,000 bond with an 8.5% coupon rate and semiannual coupons is trading for $1,035.43. 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 9.8% APR, what will be the bond's price?

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