A 14-year, $1,000 par value Fingen bond pays 6% interest annually (assume semi- annual payments). The price of the bond is $1,100 and the market's required yield to maturity on a comparable-risk bond is 5.50%. a. Compute the bonds yield to maturity. b. Determine the value of the bond to you, given your required rate of return (the YTM on a comparable-risk bond). c. Should you purchase the bond?

A 14-year, $1,000 par value Fingen bond pays 6% interest annually (assume semi- annual payments). The price of the bond is $1,100 and the market's required yield to maturity on a comparable-risk bond is 5.50%. a. Compute the bonds yield to maturity. b. Determine the value of the bond to you, given your required rate of return (the YTM on a comparable-risk bond). c. Should you purchase the 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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A bond with a face value of $1,000 has 10 years until maturity, has a coupon rate of 5.2%, and sells for $1,105. a. What is the current yield on the bond? (Enter your answer as a percent rounded to 2 decimal places.) b. What is the yield to maturity if interest is paid once a year? (Do not round intermediate calculations. Enter your answer as a percent rounded to 4 decimal places.) c. What is the yield to maturity if interest is paid semiannually? (Do not round intermediate calculations. Enter your answer as a percent rounded to 4 decimal places.)
Suppose you are given the following information about four different, default-free bonds, each with a face value of $1,000. The coupon bonds have annual payments. The yield to maturity of bond A with a maturity of 1 year and a coupon rate of 0% is 2%. The yield to maturity of bond B with a maturity of 2 year and a coupon rate of 10% is 3.908%. The yield to maturity of bond C with a maturity of 3 year and a coupon rate of 6% is 5.840%. The yield to maturity of bond D with a maturity of 4 year and a coupon rate of 12% is 5.783%. Given this information, what is the four-year spot 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.
Bond P is a premium bond with a 10 percent coupon. Bond D is a 6 percent coupon bond currently selling at a discount. Both bonds make annual payments, have a YTM of 8 percent, and have five years to maturity. (Assume par value of K1,000)(i) What is the current yield for Bond P and Bond D?(ii) If interest rates remain unchanged, what is the expected capital gains yield over the next year for Bond P? For Bond D?(iii)Explain your answers and the interrelationship among the various types of yields.
A newly issued bond with 1 year to maturity has a price of $1,000, which equals its face value. The coupon rate is 15% and the probability of default in 1 year is 35%. The bond’s payoff in default will be 65% of its face value. a. Calculate the bond’s expected return. b. Use a data table to show the expected return as a function of the recovery percentage and the price of the bond. Please show how you got part B using all functions.
You have a bond with the following features: - Semi-annual coupon payments. - Coupon rate 7.60%. - Face value $1,000. - 3.5 years to maturity. - Current market price $1,130. Requirements (A, B, and C are independent): 1. Calculate the duration and modified duration for this bond. Duration ___ Mduration ___ 2. Now, let’s assume the modified duration of this bond is 3 years. If the yield increases by 30 bps (basis points), what will the new price of the bond using modified duration? 3. If the yield drops by 75 bps, what is the actual new price of the bond?
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 %
A 10-year bond with a face value of $1,000 has a coupon rate of 9.0%, with semiannual payments. a. What is the coupon payment for this bond? b. Enter the cash flows for the bond on a timeline. a. What is the coupon payment for this bond? The coupon payment for this bond is $ every six months. (Round to the nearest cent.)
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
You are given the following information with respect to a non-callable bond: par amount: 1,000 • term to maturity: 4 years annual coupon rate: 8% payable annually. Time 0 1 2 3 1-Year Annual Forward Interest Rates Scenario X Scenario Y 7% 7% 8% 10% 7% 6% 7% 5% Each interest rate scenario has an equal probability of occurring. Calculate the value of the bond (i.e. the expected present value of the bond payments). A 1,000.00 B 1,018.40 C 1,022.80 D 1,030.39 E 1,031.07
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.
You are given the following expected 1-year rates for each of the next 5 years and the cash flows for Bond A (assume that it pays an annual coupon). Based on this information, determine the yield-to- maturity for Bond A. Year 1 23 3 4 5 7.17% 6.80% O 7.54% O6.43 % O 7.91% Expected 1-Year Rate 9.00% 8.00% 7.00% 6.00% 5.00% Bond A Cash Flow $ 100.00 $ 100.00 $ 100.00 $ 100.00 $1,100.00 4

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