Sarah just used $97.24 purchased a Treasury bond. Assume that the yield rate for this bond is j₂ =4.39% p.a. and the duration of this bond is 2.04 years. Without actually calculating the new price for this bond, use thebond price and the duration value to estimate (use the price sensitivity formula) the change in price of this bond that would result from an increase in yield rate (2) of 14 basis points. Round your answer to four decimalplaces.a. -0.2660O b. -0.1330O c. -0.2718d. -0.1359

Step 1: Modified duration = Macaluay duration / (1 + yield)Modified duration = 2.04 / (1 +…

Answered: Sarah just used $97.24 purchased a…

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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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
you re creating a yield curve in order to price some forward rate agreements. You have assembled the following prices for bonds (all of which pay semi-annual coupons): Maturity Coupon (per annum) Price (per $100 face value) 6 months 2.25% 98.1363 12 months 1.75% 95.3758 18 months 6.50% 99.1579 (a) What are the discount factors for: i. 6 months? ii. 12 months? iii. 18 months? (b) What is the 6-18 month forward rate, quoted with semi-annual compounding?
Consider two bonds x and y, both with face value 100, coupon rate 10%, and maturity of 1 year. Assume that the interest rate is 10%. Assume that bond y will go into default on both the principal and interest payments with a probability of 50%. Suppose that prices equal the expected discounted payments. What is the difference in the yields to maturity? (a) The yields to maturity are the same. (b) 110. (c) 120. (d) 10. (e) 12.
Suppose that for a price of $960 you purchase a 7-year Treasury bond that has a face value of $1,000 and a coupon rate of 4%. If you sell the bond one year later for $1,120, what was your rate of return for that one-year holding period? The rate of return for the one-year holding period was %. (Round your response to one decimal place.)
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.
PICK ONE: Explain why YOU: Suppose that 6 months after you purchase the bond, the market rate for interest on this type of bond falls to 7.00%. This will cause the (coupon / market price / par value) to (fall / rise). From the issuer’s perspective, the lower interest rate means that he or she would be (worse / better) off issuing new bonds at this lower rate than continuing to pay you 9%.
calculate the price of a $1,000, 5% bond with 4 years to maturity with 6.5 % market interest rates. what is the duration of this bond? calculare the expected orice change in $s if interest rates increase to 7% using the duration price approximation forumula
An investor wants to find the duration of a(n) 10-year, 6% semiannual pay, noncallable bond that's currently priced in the market at $541.25, to yield 15%. Using a 250 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 250 basis points (or 2.5%) is $ (Round to the nearest cent.)
You have purchased a bond for $973.02. The bond has a coupon rate of 6.4%, pays interest annually, has a face value of $1,000, 4 years to maturity, and a yield to maturity of 7.2%. You expect that interest rates will fall by .3% later today. a) Calculate the bond’s macauly duration b) Use the modified duration to find the approximate percentage change in the bond's price. Find the new price of the bond from this calculation. c) Suggest how the estimate in part (b) can be improved.
2. A bond pays semi-annual coupons with c(2) = .085. Assume the face value equals $10,000 and matures in 4 years. The YTM of the bond is given as i(2) = .07. Construct the amortization table for this bond. 3. Calculate the price of the bond in problem #2 above at time t=1/2.
Consider a 26-year bond with 6 percent annual coupon payments. The market rate (YTM) is 8.6 percent for this bond. The current yield of the bond is__________ percent. Answer it in percentage without the % sign, and round it to two decimal place, e.g., 5.69. Your Answer: Answer Chund
You have a bond with a modified duration of 14 years currently. The convexity of the bond is 169. In the event that the bond's yield changes from 8.6% to 10%, what will be the approximate percentage change in the bond's price? Enter your answer as a decimal number or with the percentage sign.

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