(b) An investor invested his wealth into three bonds for 7 years. The following table shows the market data of these three bonds: Market Price Macaulay Duration 3.19 93.26 108.04 105.91 Modified Convexity 11.77 Bond A 6.19 44.57 Bond B Bond C 8.52 83.11 The term structure is assumed to be flat and the annual effective interest rate is currently 3.2%. Suppose that the investor has $50000 initially and he invests 40% of capital in bond A, 25% of capital in Bond B and 35% in bond C. Estimate the IRR of the bond investment if the future interest rate becomes i = 4%.

(b) An investor invested his wealth into three bonds for 7 years. The following table shows the market data of these three bonds: Market Price Macaulay Duration 3.19 93.26 108.04 105.91 Modified Convexity 11.77 Bond A 6.19 44.57 Bond B Bond C 8.52 83.11 The term structure is assumed to be flat and the annual effective interest rate is currently 3.2%. Suppose that the investor has $50000 initially and he invests 40% of capital in bond A, 25% of capital in Bond B and 35% in bond C. Estimate the IRR of the bond investment if the future interest rate becomes i = 4%.

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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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 %
Suppose you have the following liabilities: Liability 1: A one-time liability maturing in 4 years with the present value of $100. Liability 2: A one-time liability maturing in 8 years with the present value of $100. To immunize your liabilities using the following two bonds, what would be the weights of the two bonds in your immunizing bond portfolio? Bond A: A zero-coupon bond with a face value of $100 and a time to maturity of 3 years. Bond B: A zero-coupon bond with a face value of $100 and a time to maturity of 12 years. A. 33% in Bond A and 67% in bond B B. 70% in Bond A and 30% in bond B C. 30% in Bond A and 70% in bond B D. 67% in Bond A and 33% in bond B E. 50% in Bond A and 50% in bond B
Suppose the current interest rate on a one-year bond is 2% and the current interest rate on a two-year bond is 4%. The term premium on a two-year bond is 1%. According to the expectations hypothesis, what interest rate should we expect on a one-year bond next year? Answer as a percentage to one decimal place and do not include symbols (e.g. $, %, commas) in your answer. Answer:
The following table summarizes current prices of various zero-coupon bonds (expressed as a percentage of face value): Bond A B C D Maturity (years) 1 2 3 4 Price (per $100 face value) 96.62 82.56 82.69 83.26 E.G for bond A it will mature in 1 year and has a current bond price of $96.62. For bond B, it will mature in 2 years and had a current bond price of $82.56 Assume the YTM for each bond doesn't change over time. After two years, what is the price for bond D? 1. bond A 2. bond B 3. bond C 4. Bond D
Assume that a bond will make payments every six months as shown on the following timeline (using six- month periods): Period 0 Cash Flows $20.87 a. What is the maturity of the bond (in years)? b. What is the coupon rate (as a percentage)? c. What is the face value? 2 $20.87 *** a. What is the maturity of the bond (in years)? The maturity is years. (Round to the nearest integer.) 39 $20.87 40 $20.87 + $1,000
You want to determine the value of your company bond that you have held. The market has not traded your security in a long time but still makes payments semiannually 6.2% coupon and 7 years. You find two similar bonds with characteristics as follows. Bond X: 4-year 6% coupon priced at 950 Bond Y: 6-year 5% coupon priced at 980, 1000 bond value a. What is the approximate price of your bond? b. How does your bond compare to the other two bonds?
Let's denote the price of a nonmaturing bond (called a consol) as P. The equation that indicates this price is Pn =-, where I is the annual net income the bond generates and r is the nominal market interest rate. a. Suppose that a bond promises the holder $200 per year forever. The nominal market interest rate is 6 percent. Calculate the bond's current price: S. (Round your answer to the nearest whole dollar.)
A bond is currently selling for $1040. It pays the amounts listed in the picture at the ends of the next six years. The yield of the bond is the interest rate that would make the NPV of the bond’s payments equal to the bond’s price. Use Excel’s Goal Seek tool to find the yield of the bond.
Assume that you have two bond investments and the information follows: Bond A has a par value of $8,000, interest paid semi annual, maturity 2 years, stated interest rate is 6%. Bond B has a par value of $8,000, interest paid semi annual, maturity 10 years, stated interest rate is 6%. The interest rates are increasing to 7%. Assume that you can only sell one of the bonds, which bond will you sell before the interest rate changes to 7%? Explain and support your answer with a present value calculation.
Table below is the information about three RM1000 par value bonds and each of which pays coupon semiannually. The required rate of return on each bond is 12%. Calculate the value of the bonds and determine whether the bond is selling at discount, premium or par value. Bond Coupon Rate (%) Maturity (years) 1 10 5 2 12 10 3 14 15
6. Suppose that you invest in a 10-year, semi-annual coupon, $1,000 par value bond when it is first issued. The coupon rate and yield to maturity are equal both 8 percent. Immediately after purchase, the annual yield to maturity for the bond falls to 7 percent. First calculate then use duration to determine the percentage gain (loss) on the sale of the bond.
Suppose that your firm issued a bond with 10 years until maturity, a face value of $1000, and a coupon rate of 7% (annual payments). The yield to maturity on this bond when it was issued was 6%. For questions e-g, assume that this bond DOES NOT pay any coupon a) What was its price when it was issued? b) For this zero-coupon bond, suppose it is actually sold for $500, what should the YTM be?

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