An investor wants to find the duration of a(n) 15-year, 5% semiannual pay, noncallable bond that's currently priced in the market at $518.23, to yield 12%. Using a 150 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 150 basis points (or 1.5%) is $(Round to the nearest cent.)→ To calculate the price of a bond with semiannual compounding, use the following formula:Bond price (with semi-annual compounding)Present value of an annuityof semiannual coupon paymentsBP₁ =C/2+=C/2C/22N++$1,0002NPresent value of thebond's par valuewhere C/2 = the amount of interest paid every six months, 2N = total number of six-month periods until the bond matures, and r/2= the required rate of return per 6-month period.

The problem requires the calculation of bond price with the given level of coupon rate and discount…

An investor wants to find the duration of a(n) 15-year, 5% semiannual pay, noncallable bond that's currently priced in the market at $518.23, to yield 12%. Using a 150 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 150 basis points (or 1.5%) is $ (Round to the nearest cent.)

An investor wants to find the duration of a(n) 15-year, 5% semiannual pay, noncallable bond that's currently priced in the market at $518.23, to yield 12%. Using a 150 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 150 basis points (or 1.5%) is $ (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) 10-year, 7% semiannual pay, noncallable bond that's currently priced in the market at $629.21, to yield 14%. Using a 100 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 100 basis points (or 1%) is $ (...) (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.)
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 %
(b)You purchase the $110 bond today and sell it off next year at $108. What is its one-year rate of return (assume the bond’s coupon rate is 5% and its face value is $100)? If the expected inflation over the course of the year is 2%, what would the ex-ante real rate of return be for the bond on part (b)?
Use Macauly's Duration Price Approximation formula for this. Before a change in interest rates, your bond has the following characteristics: present value of $5,557.56, Duration of 3.69 years with market interest rates of 5%. Calculate the percentage change in the bond's price if market rates fall to 4.85%. Be sure to include the negative sign IF you think the price goes down. I
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 6 percent for $1,150. The bond has 20 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-1.Two years from now, the YTM on your bond has declined by 1 percent, and you 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-2.What is the HPY on your investment? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
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 %
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.)
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 9.2% annual coupon bond for $1,180. 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
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 of 10 percent for $1,120. The bond has 17 years to maturity. What rate of return do you expect to earn on your investment? (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 % %
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 of 11 percent for $1,130. The bond has 18 years to maturity. What rate of return do you expect to earn on your investment? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b-1. Two years from now, the YTM on your bond has declined by 1 percent and you decide to sell. What

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