Solve the following questions without using Excel. A 5 year bond with a coupon of 7%, that pays interest annually, has its next coupon due in 12 months. It yields 5% per annum. a) compute the duration of the bond. Use this to compute approximately how the price of the bond will change if yields rise to 6%. (b) Compute the convexity of the bond. Use this to obtain a more precise estimate of the change in the price which will occur if the yield rises to 6%.

Solve the following questions without using Excel. A 5 year bond with a coupon of 7%, that pays interest annually, has its next coupon due in 12 months. It yields 5% per annum. a) compute the duration of the bond. Use this to compute approximately how the price of the bond will change if yields rise to 6%. (b) Compute the convexity of the bond. Use this to obtain a more precise estimate of the change in the price which will occur if the yield rises to 6%.

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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The following table contains data to calculate forward rates using pure expectations theory.a) Find the yield on a 8 year bond, 2 years forward (2r8).b) Find the yield on a 6 year bond, 3 years forward (3r6).Maturity Yield1 year 2.00%2 years 2.20%3 years 3.40%4 years 4.50%5 years 5.00%6 year 5.00%7 years 5.20%8 years 5.40%9 years 5.50%10 years 5.50% Please help me with this show the work and do it in excel Many thanks
Consider a bond with a face value of $2,000 that pays a coupon of $150 for 10 years. Suppose the bond is purchased at $500, and can be resold next year for $400. What is the rate of return of the bond? What is the yield to maturity of the bond?
What are the cash flows you receive from a $1,000 coupon bond with a 6% coupon rate and: a) semiannual coupon payments; b) annual coupon payments; Calculate the price of the bond if its yield to maturity is 3%. Calculate the price of the bond if its yield to maturity increases to 5%. Compare your answers and explain why the prices are different. Is the bond trade at discount, par, or premium in each case?
Calculate the duration and convexity of a bond, 20 years to maturity bond and 6% coupon rate. Assume a flat yield curve at 4%. (You can use Macaulay or effective versions for duration and convexity).
Bond valuation related problems should be solved by using a financial calculator or MS excel spreadsheet. Accordingly, you must show the values of all relevant time valu of money variables A bond has an annual 11 percent coupon rate, an annual interest payment of $110, a maturity of 20 years, a face value of $1,000, and makes annual payments. It has a yield to maturity of 8.83 percent. Current market price is $1,200.51. If this bond is held for a year, what would be current yield? What would be capital gain or loss yield? what rate of return will an investor expect to receive during the next year?
Calculate the duration (and price) of a bond with the following characteristics: A semi-annual payment bond with a $1,000 face value, a 4,5% coupon rate, a 7.8% YTM, and 8 years to maturity. Show your table of calculations or show Excel inputs if using the Excel commands.
Calculate the duration (and price ) of a bond with the following characteristics: A semi - annual payment bond with a $1,000 face value, a 4.5% coupon rate, a 7.8% YTM, and 8 years to maturity. Show your table of calculations or show Excel inputs if using the Excel commands.
The current zero-coupon yield curve for risk-free bonds is as follows: What is the risk-free interest rate for a five-year maturity? The risk-free interest rate for a five-year maturity is _____%. (Round to two decimal places.)
The bond's duration is the sum of the present value of each payment weighted by the time period in which the payment is received, with the resulting quantity divided by the price of the bond. Therefore, solve for the bond's duration given the following variables: A $1,000 par bond is priced at 95% of par, the bond's annual coupon rate is 6%, and the bond has 4 years to maturity. Additionally, show your calculator's function keys for the 5th column titled, "What is the Present Value Interest Factor at ? %" PV =, FV =, PMT =,N=, and I = .... and CPT key = ? 0.0000 CUIT CPT SET ENTER DEL INS Column 1 Column 2 Column 3 Column 4 Column 5 2ND CF NPV IRR PM AMORT DON CLR TVM PV PMT FV RAND Number (#) of "X" means "multiplied each by" payment Amount of payment "A $1,000 par bond is priced "X" means "multiplied by" What is the Present Value Interest 呢 VE 1/x HYP SIN مر at 95% of par" so $950 x .06 = $57?) 1 X $ 57 X Factor at ? % ? (show calculator function keys: PV=, FV = PMT =, N =, & I=? ? =…
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?
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.

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