None intere't expaid = $196,321 16. Find the bond's yield (YTM) as an effective annual rate for a bond with annual coupon of$100, Face value of $1000 and maturity in 2 yrs. The Spot rates of interest are rl = 5%, r2 = 6% and 13 = 7%. Firet findPV of coupon payments. a) 5.505% b) 5917%e) 31.4/5.07Interest expard = $196,371.73X0-10 To T16. Find the bond's yield (YTM) as an effective annual rate for a bond with annual couponof $100, Face value of $1000 and maturity in 2 yrs. The Spot rates of interest are r1=5%,12=6% and 13=7%. First find pv of coupon payments.a) 5.505%h) 5917%100(1759)'+100Cif 6

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Answered: intere't expaid = $196,321 16. Find the…

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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Vhat is the yield of each of the following bonds, if interest (coupon) is paid semiannually? 6% 20 8.02 % 5800.00 d of the following bond if interest (coupon) is 1 Data Table - X Years to Coupon Rate Matunty 12% 10 (Click on the following icon n in order to copy its contents into a spreadsheet.) eld of the following bond if interest (coupon) is Par Value $1,000.00 Yield to Maturity Matunty Doupon Rale 6% Price $800.00 $1,000.00 S3.110.00 $1.130.00 క Noturty 20 10 Coupon ato $1.000.00 12% 7% 20 $5,000.00 $1.000.00 7% 20 8% yield of the following bond if interest (coupon) is Yoars to Coupon Hate Print Done Maturity 00 8%
Suppose the current price of the bond is $95, the YTM is 4%, and the duration of the bond is 9. If YTM decrease from 4% to 3.9%, approximate the change in price using duration of the bond. Price would increase by ____%
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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?
Bond Coupon Rate (%) Number of Years to Maturity Price TII $884.20 $948.90 $967.70 $456.39 W X Y 7 8 9 0 5 7 4 10 Calculate the yield to maturity for the four bonds. SOLCE USING BA2 CALC.
Suppose a 10% 3years bond with a FV of $1000 Spot rates r1= 10%, r2= 12%, r3=13%. Calculate the forward rate required to calculate the bond price using the forward rate 1f2
What are the Modified Duration and Macaulay Duration of the following bond? Coupon Rate = 8% (Semi-annually paid) YTM = 9% Maturity = 2 Years Par Value = 1,000 (Hint: this question is similar to Example 1 and Example 2 on slides) ModD = 1.886 and MacD = 1.805 ModD = 1.784 and MacD = 1.954 ModD = 1.954 and MacD = 1.784 ModD = 1.805 and MacD = 1.886
P: A 8% coupon, 30-year maturity bond with par value of $1,000. Assume annual interest rate is 8% (1) What is the bond's price using semiannual compounding? (2) Ifr=10%, what is P? r(YTM): Find the YTM for a 8% coupon, 30-year bond selling at $1276.76 (semiannual coupon payments) What is the coupon rate, current yield and YTM of the bond? What is the relationship among them?
Thebond shown in the following table pays interest annually. Par value Coupon interest rate Years to maturity Current value $1,000 8% 9 $700 a. Calculate the yield to maturity (YTM) for the bond. b. What relationship exists between the coupon interest rate and yield to maturity and the par value and market value of a bond? Explain.
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?
c) Suppose you observe the following three bonds. Assume that all bonds are denominated at $100 face value per contract and that they pay their coupons annually. Price Coupon Maturity (years) Bond A 111.42 15 3 Bond B 108.33 15 Bond C 116.61 15 1 i) Compute the spot rates r0,1, r0,2 and r0,3. ii) Compute the forward rates r1,2 and r2,3.

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