1. Answer the below questions for bond A. Bond A Coupon 8% Yield to maturity 10% Maturity (years) 10 Par $100.000 Price $87.5378 (a) Calculate the actual price of the bond for a 100-basis-point increase in interest rates. (b) Using duration, estimate the price of the bond for a 100-basis-point increase in interest rates. (c) Using both duration and convexity measures, estimate the price of the bond for a 100-basis-point increase in interest rates. (d) Without working through calculations, indicate whether the duration of bond A would be higher or lower if the yield to maturity is 12% rather than 10%.

1. Answer the below questions for bond A. Bond A Coupon 8% Yield to maturity 10% Maturity (years) 10 Par $100.000 Price $87.5378 (a) Calculate the actual price of the bond for a 100-basis-point increase in interest rates. (b) Using duration, estimate the price of the bond for a 100-basis-point increase in interest rates. (c) Using both duration and convexity measures, estimate the price of the bond for a 100-basis-point increase in interest rates. (d) Without working through calculations, indicate whether the duration of bond A would be higher or lower if the yield to maturity is 12% rather than 10%.

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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The following is a list of prices for zero-coupon bonds of various maturities. Maturity (years) 1 2 Price of Bond $ 930.00 902.97 3 4 829.62 772.99 Required: a. Calculate the yield to maturity for a bond with a maturity of (i) one year; (ii) two years; (iii) three years; (iv) four years. Assume annual coupon payments. b. Calculate the forward rate for (i) the second year; (ii) the third year; (iii) the fourth year. Assume annual coupon payments. Complete this question by entering your answers in the tabs below. Required A Required B Calculate the yield to maturity for a bond with a maturity of (i) one year; (ii) two years; (iii) three years; (iv) four years. Assume annual coupon payments. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Maturity (Years) Price of Bond YTM 1 $ 930.00 % 2 $ 902.97 % 3 $ 829.62 % 4 $ 772.99 %
Consider a bond that pays annually an 8% coupon with 20 years to maturity. The percentage change in the price of the bond if its yield to maturity increases from 5% to 7% is closest to? Set your decimal places to 4 in your financial calculator. a 19.50% b 24.22% c -24.22% d -19.50%
Suppose a 4-year, 3% annual coupon payment bond has the following sequence of spot rates: Time to maturity Spot rates 1 year 0.39% 2 years 1.40% 3 years 2.50% 4 years 3.60% Assume a par value of $100. What is the yield to maturity for this bond? A. 4.52% B. 3.52% C. 5.12% D. 6.12%
Consider the following bonds: Bond A B CD с Coupon Rate (annual payments) 0.0% 0.0% 4.3% 7.7% The percentage change in the price of bond A is |___%. (Round to one decimal place.) What is the percentage change in the price of each bond if its yield to maturity falls from 6.9% to 5.9%? The percentage change in the price of bond B is %. (Round to one decimal place.) Maturity (years) 15 The percentage change in the price of bond C is %. (Round to one decimal place.) The percentage change in the price of bond D is %. 21500
A plot of the yields on bonds with different terms to maturity but the same risk, liquidity, and tax considerations is known as O A. a yield curve. B. a risk-structure curve. OC. a term-structure curve. 5- O D. an interest-rate curve. Suppose people expect the interest rate on one-year bonds for each of the next four years to be 3%, 6%, 5%, and 6%. If the expectations theory of the term structure of interest rates is correct, then the implied interest rate on bonds with a maturity of four years is nearest whole number). %. (Round your response to the 2- Refer to the figure on your right. Suppose the expected interest rates on one-year bonds for each of the next four years are 4%, 5%, 6%, and 7%, respectively. 1. 1.) Use the line drawing tool (once) to plot the yield curve generated. 3 Term to Maturity in Years 2.) Use the point drawing tool to locate the interest rates on the next four years. 5. 3- Interest Rate .....
1. What is the yield to maturity on the following bonds; all have a maturity of 10 years, a face value of 2000, and a coupon rate of 4 percent (paid semiannually). The bond's current prices are: a. $1,180 b. $ 2,400 c. Explain the relationship between yield to maturity and bond prices.
Calculate the purchase price of the following bonds. Indicate whether the bonds are priced at a discount, at par or at a premium. Give your answers in dollars and cents to the nearest cent. Face Value Coupon Rate Years to Maturity Market Rate a) $100 r = 6.75% 5 j2 = 6.75% b) $1,000 r = 8% 11 j2 = 6.25% c) $10,000 r = 7% 20 j2 = 8.75% Quoted coupon rates and market rates are nominal annual rates compounded semi-annually. a)Price = $ This bond is priced at:a discountpara premium b)Price = $ This bond is priced at:a discountpara premium c)Price = $ This bond is priced at:a discountpara premium
← 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.
Refer to Table 10-2. a. Assume the interest rate in the market (yield to maturity) goes down to 8 percent for the 10 percent bonds. Using column 2, indicate what the bond price will be with a 10-year, a 20-year, and a 25-year time period. b. Assume the interest rate in the market (yield to maturity) goes up to 12 percent for the 10 percent bonds. Using column 3, indicate what the bond price will be with a 10-year, a 20-year, and a 25-year period. c. Assume the interest rate in the market (yield to maturity) goes down to 8 percent for the 10 percent bonds. If interest rates in the market are going down, which bond would you choose to own? multiple choice 1 10 Years 20 Years 25 Years d. Assume the interest rate in the market (yield to maturity) goes up to 12 percent for the 10 percent bonds. If interest rates in the market are going up, which bond would you choose to own? multiple choice 2 10 Years 20 Years 25 Years
Assume coupons are paid annually. Here are the prices of three bonds with 10-year maturities. Assume face value is $100. Bond Coupon (%) 2 Price (%) 48 80.57 97.19 134.92 a. What is the yield to maturity of each bond? b. What is the duration of each bond? Complete this question by entering your answers in the tabs below. Required A Required B What is the yield to maturity of each bond? Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Bond Coupon YTM (%) 2 4 6.00 % 7.42% 8 7.01 %
Consider a bond with a face value of $1,000 that sells for an initial price of $700. It will pay no coupons for the first nine years and will then pay 11% coupons for the remaining 29 years. Choose an equation showing the relationship between the price of the bond, the coupon (in dollars), and the yield to maturity. O A. B. O C. O D. 700 = 700 = 700 = 700 = 110 110 9 (1+i)⁹ (1+i)⁹+1 + 110 + i) ⁹ + 1 (1 + 1,000 (1+i) 29-9 1,000 (1 + i) 9 +29 + +...+ 110 (1+i) 9+2 + 110 (1 + i)9+29-1 110 + (1 + i) ⁹ + 110 (1+i)9 +29 9+29-1 + 110 (1 + i)9 +29 + 1,000 (1+i) 9+29
Suppose a 10-year, $1,000 bond with an 8.6% coupon rate and semi-annual coupons is trading for a price of $1,035.22. 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 9.3% APR, what will the bond's price be? **** a. What is the bond's yield to maturity (expressed as an APR with semi-annual compounding)? The bond's yield to maturity is%. (Round to two decimal places.)

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