Basic bond valuation Complex Systems has an outstanding issue of $1,000-par-value bonds with a 9% coupon interest rate. The issue pays interest annually and has 10 years remaining to its maturity date. a. If bonds of similar risk are currently earning a rate of return of 7%, how much should the Complex Systems bond sen for today? b. Describe the two possible reasons why the rate on similar-risk bonds is below the coupon interest rate on the Complex Systems bond. c. If the required return were at 9% instead of 7%, what would the current value of Complex Systems' bond be? Contrast this finding with your findings in part a and discuss. KILP a. If bonds of similar risk are currently eaming a rate of return of 7%, the Complex Systems bond should sell today for $. (Round to the nearest cent.)

Basic bond valuation Complex Systems has an outstanding issue of $1,000-par-value bonds with a 9% coupon interest rate. The issue pays interest annually and has 10 years remaining to its maturity date. a. If bonds of similar risk are currently earning a rate of return of 7%, how much should the Complex Systems bond sen for today? b. Describe the two possible reasons why the rate on similar-risk bonds is below the coupon interest rate on the Complex Systems bond. c. If the required return were at 9% instead of 7%, what would the current value of Complex Systems' bond be? Contrast this finding with your findings in part a and discuss. KILP a. If bonds of similar risk are currently eaming a rate of return of 7%, the Complex Systems bond should sell today for $. (Round to the nearest cent.)

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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An investor wants to find the duration of a(n) 15-year, 6% semiannual pay, noncallable bond that's currently priced in the market at $587.05, to yield 12%. Using a 150 basis point change in yield, find the effective duration of this bond (Hint: use Equation 11.11). Question content area bottom Part 1 The new price of the bond if the market interest rate decreases by 150 basis points (or 1.5%) is $enter your response here. (Round to the nearest cent.)
Conceptual Overview: Explore the value of fixed-interest coupon bonds of different terms. This graph shows the value of 10% coupon bonds of different terms across differing market interest rates. Each bond pays INT = $100 at the end of each year and returns M = $1,000 at maturity. For comparison, the blue line depicts the value of a one-year bond. The term of the other bond in years may be changed using the slider. Drag on the graph to change the current market interest rate (rd) at which the bond (orange curve) is evaluated. ∑ t = 1 Y r s I N T ( 1 + r d ) + M ( 1 + r d ) = ∑ t = 1 1 5 $ 1 0 0 ( 1 + 0 . 1 0 0 ) + $ 1 0 0 0 ( 1 + 0 . 1 0 0 ) = 1 , 0 0 0 ∑ t=1 Yrs (1+r d ) t INT + (1+r d ) Yrs M =∑ t=1 15 (1+0.100) t $100 + (1+0.100) 15 $1000 =1,000 ∑t=1Yrs(1+rd)tINT+(1+rd)YrsM=∑t=115(1+0.000)t$100+(1+0.000)15$1000=2,500. 1. What is the value of a 15-year 10% $1,000 coupon bond when the market interest rate is 15%? $421$708$1,000$1,5192. What is the value of a 12-year 10% $1,000…
Exploring Finance: Coupon Bonds. Coupon Bonds Conceptual Overview: Explore the value of fixed-interest coupon bonds of different terms. This graph shows the value of 10% coupon bonds of different terms across differing market interest rates. Each bond pays INT = $100 at the end of each year and returns M = $1,000 at maturity. For comparison, the blue line depicts the value of a one-year bond. The term of the other bond in years may be changed using the slider. Drag on the graph to change the current market interest rate (rd) at which the bond (orange curve) is evaluated. 5. For a 10%, $1,000 coupon bond, a longer term bond (say, 15 years) is: less affected by changes in the market rate than a 1-year bond. affected the same by changes in the market rate than a 1-year bond. more affected by changes in the market rate than a 1-year bond. Cannot be determined.
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i. Calculate the value of Macaulay’s duration for a 10-year, $1000 par value bond purchased today at a yield to maturity of 14% and a coupon rate of 10%. ii. From the answer in (i) calculate the modified duration of the bond assuming the prevailing interest rate is still 14%.iii. Now suppose the market interest rate on comparable bonds falls to 13 percent. What will be the approximate percentage change in the bond price.? (Hint: use the modified duration for your computation in (ii))
The prices of zero-coupon bonds with various maturities are given: maturity in years price 1 975.66 2 885.89 3 821.92 4 759.20 5 670.20 A) How could you construct a 1-year forward loan beginning in year 3? face value = ? rate of synthetic loan = ? B) How could you construct a 1-year forward loan beginning in year 4? face value = ? rate of synthetic loan = ?
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
What are the Modified Duration and Macaulay Duration of the following bond? Coupon Rate = 8% (Semi-annually paid) YTM = 9% Maturity = 2 Years Par Value = 1,000 (Hint: this question is similar to Example 1 and Example 2 on slides) ModD = 1.886 and MacD = 1.805 ModD = 1.784 and MacD = 1.954 ModD = 1.954 and MacD = 1.784 ModD = 1.805 and MacD = 1.886
Which factors could explain the higher yield to maturity on the Hunter bond? Check all that apply: Bond rating Original time to maturity Coupon rate Time to maturity Issue size
7. Given the two bonds below, answer the following questions. Bond Bond A Coupon Rate B 5% Par/Face/Princ $1000 Years to Maturity 2 5% $1000 a. If the Yield to maturity of the two bonds is 5%, what is the price of both bonds. b. Find the Modified Duration of both bonds. c. Find the Modified Convexity of both bonds. d. Estimate the price of bond B using the Tayor Series Expansion if interest rates rise to 6% for the Yield to Maturity. 3
Need help with C Approximate yield to maturity An investor must choose between two bonds: Bond A pays $90 annual interest and has a market value of $815. It has 15 years to maturity. Bond B pays $81 annual interest and has a market value of $700. It has eight years to maturity. Assume the par value of the bonds is $1,000. a. Compute the current yield on both bonds. (Do not round intermediate calculations. Input your answers as a percent rounded to 2 decimal places.) Current Yield Bond A11.04% Bond B11.57% c. A drawback of current yield is that it does not consider the total life of the bond. For example, the approximate yield to maturity on Bond A is 11.51 percent. What is the approximate yield to maturity on Bond B? The exact yield to maturity? (Use the approximation formula to compute the approximate yield to maturity and use the calculator method to compute the exact yield to maturity. Do not round intermediate calculations. Input your answers as a percent rounded to 2…
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