Bond TermsPar ValueDuration (yrs)CouponFrequencyCurrent rates:$1,00054.00%SemiannualBond features:MACAModified Duration4.75%Callable at Par4.5724.466Assuming this bond is the only asset, if the market value of liabilities was $850, what is the economic value of equity?

Economic value of equity is the difference between economic value of assets and economic value of…

Answered: Assuming this bond is the only asset,…

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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Q2. Duration and Convexity Bond A has face value at $1,000, coupon rate of 6% paid semi-annually, 5 years to maturity, and a yield to maturity of 7%. a. Using the bond pricing formula, calculate the price of the bond and duration. ABC b. Calculate the convexity of the bond. c. Using the calculations from above, what is the "approximated bond price change" using duration and convexity, if the interest rate increases by 1%? d. What is the actual change in the bond price if the interest rate increases by 1%? e. Based on c) and d) above, discuss the roles of duration and convexity in estimating the price change. Which risk measure plays a bigger role? f. Suppose you have two bonds with the same maturity date but one bond has a 10% coupon rate while the other has a 5% coupon rate. Which of these two bonds would have a higher duration?
Data table ↑ The current zero-coupon yield curve for risk-free bonds is as follows: What is the price per $100face value of a two-year, zero-coupon, risk-free bond? The price per $100 face value of the two-year, zero-coupon, risk-free bond is $ (Click on the following icon in order to copy its contents into a spreadsheet.) Maturity (years) YTM 1 4.98% 2 5.48% 3 5.78% Print Done 4 5 5.96% 6.09% (Round to the nearest cent.) - X
The following information about bonds A, B, C, and D are given. Assume that bond prices admit noarbitrage opportunities. What is the convexity of Bond D?Cash Flow at the end ofBond Price Year 1 Year 2 Year 3A 91 100 0 0B 86 0 100 0C 78 0 0 100D ? 5 5 105
None
There are two zero-coupon bonds below: Coupon Term to rate maturity 0% 1 year 10% 2 years Bond A B FV $100 $100 Price $95.24 $107.42 Consider a 2-year coupon bond C with FV = $100, coupon rate=25%, and price = $ 138. Is Bond C underpriced/overpriced relative to Bonds A and B? What is the potential arbitrage trading strategy? O a. Overpriced; Long 3/22 unit of A; Long 25/22 unit of B; Short 1 unit of C O b. Underpriced; Long 3/22 unit of A; Long 25/22 unit of B; Short 1 unit of C O c. Overpriced; Long 3 unit of A; Long 25 unit of B; Short 1 unit of C O d. Underpriced; Long 3 unit of A; Long 25 unit of B; Short 1 unit of C
Please see attached. Definitions: Yield to maturity (YTM) is the return the bond holder receives on the bond if held to maturity.
Q2. Duration and Convexity Bond A has face value at $1,000, coupon rate of 6% paid semi-annually, 5 years to maturity, and a yield to maturity of 7%. Using the bond pricing formula, calculate the price of the bond and duration. Calculate the convexity of the bond. Using the calculations from above, what is the “approximated bond price change” using duration and convexity, if the interest rate increases by 1%? What is the actual change in the bond price if the interest rate increases by 1%? Based on c) and d) above, discuss the roles of duration and convexity in estimating the price change. Which risk measure plays a bigger role? Suppose you have two bonds with the same maturity date but one bond has a 10% coupon rate while the other has a 5% coupon rate. Which of these two bonds would have a higher duration?
What is the yield to maturity of a one-year, risk-free, zero-coupon bond with a $5,000 face value and a price of $4,650 when released? OA. 3.763% OB. 7.527% OC. 0.019% OD. 7%
What equation was used to get the Aftertax Cost of Debt? Debt Face Value 1000 Bond Price 1271.59 Coupon Payment 75 Maturity 50 Yield to Maturity 11.64% Aftertax Cost of Debt 9.31%
Please show work
What is the fair market value of a bond with the following features: (1) par value of $1000, (2) coupon payment of $86, and (3) 10-year maturity? Assume that the current interest rates are 9% $1086.24 $1110.00 $1000.00 $974.33
Explain what you see from the pricing calculations. How do the two bonds differ? Bond C Bond Price = PV(rate,nper,pmt,fv) Given: n = Period which takes values from 0 to the nth period = 0,1,2,3 & 4 Cn = Coupon payment in the nth period = 10%*$1,000 = $100 YTM = interest rate or required yield = 9.6% P = Par Value of the bond = $1,000 Bond Z Bond Price = PV(rate,nper,pmt,fv) Given: n = Period which takes values from 0 to the nth period = 0,1,2,3 & 4 Cn = Coupon payment in the nth period = 0%*$1,000 = $0.00 YTM = interest rate or required yield = 9.6% P = Par Value of the bond = $1,000 years Bond A Bond Z 4 $1,012.79 $693.04 3 $1,010.02 $759.57 2 $1,006.98 $832.49 1 $1,003.65 $912.41 0 $1,000.00 $1,000.00

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