An investor wants to find the duration of a(n) 25-year, 7% semiannual pay, noncallable bond that's currently priced in the market at $726.16, to yield 10%. Using a 150basis point change in yield, find the effective duration of this bond (Hint: use Equation 11.11).The new price of the bond if the market interest rate decreases by 150 basis points (or 1.5%) is $(Round to the nearest cent.)

WE HAVE GIVE FINANCIAL DATA : A 25-year, 7% coupon, semiannual pay, noncallable bondCurrent market…

Answered: An investor wants to find the duration…

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) 30-year, 9% semiannual pay, noncallable bond that's currently priced in the market at $649.02, to yield 14%. Using a 50 basis point change in yield, find the effective duration of this bond (Hint: use Equation 11.11). The new price of the bond if the market interest rate decreases by 50 basis points (or 0.5%) is $ (Round to the nearest cent.) C
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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.)
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.)
Assume that you wish to purchase a 30-year bond that has a maturity value of P1,000 and a coupon interest rate of 9.5%, paid semiannually. If you require a 6.75% rate of return on this investment, what is the maximum price that you should be willing to pay for this bond? O P675 O P1,450 O P1.352 O P1,111
Suppose for $1,000 you could buy a 10%, 10-year, annual payment bond or a 10%, 10-year, semiannual payment bond. They are equally risky. Which would you prefer? If $1,000 is the proper price for the semiannual bond, what is the equilibrium price for the annual payment bond?
A 30-year maturity bond making annual coupon payments with a coupon rate of 11.00% has a ation of 13.50 years. The bond currently sells at a yield to maturity of 5.75%. Ducation a. Find the exact dollar price of the bond if its yield to maturity falls to 4.75%. What is the % change in price? b. Assume that you need to make a quick approximation using the duration rule. What is the % change in price as approximated by the duration rule when the yield to maturity falls to 4.75%? c. Does the duration-rule provide a good approximation of the % price change in this case? Why or why not?
The YTM on a bond is the interest rate you earn on your investment if interest rates don’t change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY). (Round the final answers to 2 decimal places.) a. Suppose that today you buy an 8.6% annual coupon bond for $1,120. The bond has 19 years to maturity. What rate of return do you expect to earn on your investment? Expected rate of return % b-1. Two years from now, the YTM on your bond has declined by 1%, and you decide to sell. What price will your bond sell for? (Omit $ sign in your response.) Bond price $ b-2. What is the HPY on your investment? HPY %
A zero-coupon bond with a face value of $4000 and a 4.6% interest rate (compounded semiannually) will mature in 7 years. What is a fair price to pay for the zero-coupon bond today? A fair price to buy the bond at would be $ (Do not round until the final answer. Then round to the nearest cent as needed.)
You have decided to invest in Bond x, an n-year bond with semi-annual coupons and the following characteristics: Par value is 1000 The ratio of the semi - annual coupon rate to the desired semi- annual yield rate, is 1.03125. The present value of the redemption value is 381.5. Given v=0.5889, what is the price of bond x ? A) 1,055 B) 1,072 C ) 1,073 D) 1,069 E) 1,044
Suppose that a 1-year zero-coupon bond with face value $100 currently sells at $89.75, while a 2-year zero sells at $79.88. You are considering the purchase of a 2-year-maturity bond making annual coupon payments. The face value of the bond is $100, and the coupon rate is 10% per year. Required: What is the yield to maturity of the 2-year zero? What is the yield to maturity of the 2-year coupon bond? What is the forward rate for the second year? If the expectations hypothesis is accepted, what are (1) the expected price of the coupon bond at the end of the first year and (2) the expected holding-period return on the coupon bond over the first year? Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?
The YTM on a bond is the interest rate you earn on your investment if interest rates don't change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY). a. Suppose that today you buy a bond with an annual coupon rate of 7 percent for $1,160. The bond has 15 years to maturity. What rate of return do you expect to earn on your investment? Assume a par value of $1,000. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b- Two years from now, the YTM on your bond has declined by 1 percent, and you 1. decide to sell. What price will your bond sell for? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b- What is the HPY on your investment? (Do not round intermediate calculations and 2. enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a. Expected rate of return b-1. Bond price b-2. HPY % I %

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