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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A 10-year bond pays an annual coupon, its YTM is 10%, and it currently trades at a par value. Which of the following statement is correct? Select one: a. The bond's coupon rate is less than 10%. b. Th bond's coupon rate is equal to 10%. c. If the yield to maturity increases, then the bond's price will increase. d. The bond's current yield is less than 10%.
QWE wishes to issue a perpetual callable bond that pays 7.4% annual coupon. The current interest rate is 7.4%. Next year, the interest rate will be 3.3% or 8.9% with equal probability. The bond is callable at $1,050, and it will be called if the interest rate drops to 3.3%. What is the issue price of this callable bond?
A zero-coupon bond has a $100 face value, matures in 10 years and currently sells for $781.20 . a What is the market’s required return on this bond? b Suppose you hold this bond for one year and sell it. At the time you sell the bond, market rates have increased to 3.5%. What return did you earn on this bond? c Suppose that, rather than buying the 10-year zero-coupon bond described at the start of this problem, you instead purchased a 10-year 2.5% coupon bond. (Assume annual payments.) Because the bond’s coupon rate equalled the market’s required return at the time of purchase, you paid face value ($100) to acquire the bond. Again assume that you held the bond for one year, received one coupon payment, and then sold the bond, but that at the time of sale, the market’s required return was 3.5%. What was your return for the year? Compare your answerhere to your answer in part (b).
Consider a bond with semiannual interest payments that has a Settlement Date of 8/15/2020, a Maturity Date of 2/15/2031, a Coupon Rate of 5.00%, a Market Price of $975, a Face Value of $1,000, and a Required Return of 5.35%. What is the Macaulay Duration using the Duration function on these bonds expressed as a decimal calculated to two decimal places if you purchase them at the current market price? For example, if your answer is 12.345 then enter as 12.35 in the answer
Consider a bond with a coupon of 4.6 percent, five years to maturity, and a current price of $1,047.80. Suppose the yield on the bond suddenly increases by 2 percent. a. Use duration to estimate the new price of the bond. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Price b. Calculate the new bond price using the usual bond pricing formula. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Price
Consider a bond that has a life of 2 years and pays a coupon of 10% per annum (with semiannual payments); the yield is 5% per annum with semiannual compounding.(a) What is the bond’s price?(b) What is the bond’s duration?(c) Suppose that the bond price is the one you computed in part (a) and that the 6M, 12M, and 18M zero rates are respectively 4.2%, 4.8% and 5.6% per annum. What is the 2Y zero rate assuming all rates are quoted with semiannual compounding?
Please answer the following question: The modified duration and convexity of a 6%, 25 year bond selling toyield 9% is 10.62 and 91.46 respectively. If the required yield increasesby 300 basis points from 9% to 12% what is the approximate percentagechange in the price of the bond due toa) duration,b) convexity,c) duration and convexity?d) If the actual change is -26.50%, compare your results from a) and c)which provides a better approximation?
D3)
Your broker offers to sell you a CleenWtr Bond for $1150. The bond has a coupon rate of 3%, semiannual interest payments, and a maturity of 9 years. If the interest rate on comparable debt is 2.0% is your broker fairly pricing the bond? (What is the curent price of the bond)
A zero-coupon bond has a $100 face value, matures in 10 years and currently sells for $781.20 . a What is the market’s required return on this bond? b Suppose you hold this bond for one year and sell it. At the time you sell the bond, market rates have increased to 3.5%. What return did you earn on this bond? c Suppose that, rather than buying the 10-year zero-coupon bond described at the start of this problem, you instead purchased a 10-year 2.5% coupon bond. (Assume annual payments.) Because the bond’s coupon rate equalled the market’s required return at the time of purchase, you paid face value ($100) to acquire the bond. Again assume that you held the bond for one year, received one coupon payment, and then sold the bond, but that at the time of sale, the market’s required return was 3.5%. What was your return for the year? Compare your answerhere to your answer in part (b)
Question What is meant by LIBOR and LIBID. Which is higher? The 6-month and 1-year zero rates are both 10% per annum. For a bond that has a life of 18 months and pays a coupon of 8% per annum (with semiannual payments and one having just been made), the yield is 10.4% per annum. What is the bond’s price? What is the 18-month zero rate? All rates are quoted with semiannual compounding.
The taltola bond has a duration of 2.87 years and Beltola bond has Tk.1,000 par value, 3years to maturity , and an 8 percent yield paying semiannual interests at 10 percent. The current yield curve represents an inverted trend indicating decline in future interest rates. Under these circumstances, you have to decide which bond you have to invest in. Calculate the duration of Beltota bond and tell us which bond you will invest in and why.

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