QUESTION 15Suppose that all investors expect that the interest rates for the 4 years will be as follows. What is the price of a 3-year zero coupon bond with par-$1,000?Year1-Year Forward rate4.6%24.9%35.2%45.5%O a. $1,000.00Ob. $866.32Oc. $858.92Od. $821.15

Price of zero coupon bond=Face Value/(1+r)n =1,000/(1+0.052)^3 =1,000/(1.052)^3 =858.92 Price of 3…

Answered: QUESTION 15 Suppose that all investors…

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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Can you please walk me through this? Problem 6-11 DEFAULT RISK PREMIUM A company’s 5-year bonds are yielding 7.75% per year. Treasury bonds with the same maturity are yielding 5 2% per year, and the real risk-free rate (r*) is 2.3%. The average inflation premium is 2 5%; and the maturity risk premium is estimated to be 0.1 x (t 1) %, where t = number of years to maturity. If the liquidity premium is 1%, what is the default risk premium on the corporate bonds?
Question 3 A bond has a face value or par value of $1000 and will mature at par in 10 years. The coupon rate is 10% compounded semi-annually. The yield rate is 8% compounded semi-annually. Find the excess of the semi-annual coupon payment over the required semi-annual yield. O a $10 Ob $100 Ос $20 Od $80
Question 2 Assume the yield curve is flat shown as following table. A cash and $duration-neutral butterfly is to be constructed by selling one thousand 7-year coupon paying bonds and purchasing qs and ql coupon paying bonds with maturities 3 and 15 years respectively. More information on the bonds to be used in the strategy is given Note that we are assuming all bonds pay interest semi-annually. (a) Explain how to interpret the modified duration of -8.86 corresponding to the 15-year maturity bond. (b) Write down the system of equations that needs to be solved in order to find qs and ql and verify that the solution to this system is qs = 679.32 and ql =366.23. (c) Find the profit from this strategy if yield curve moves: (i) up to 8% pa and (ii) down to 5% pa. (d) Explain why in practice it may be difficult to profit from the cash and $duration neutral butterfly. (e) Explain the major differences between the 50-50 butterfly strategy and the cash and $duration neutral butterfly.
1 Derive i, +i iz, lt It+1 2 2 According to the Expectations Theory of the term structure, if interest rates are expected to be 2%, 2%, 4%, and 5% over the next four years, what is the yield on a three-year bond today?
Maturity (years) 1 2 3 4 5Zero-coupon YTM 4.6% 5.0% 5.4% 5.8% 6.1% What is the price today of two-year, default-free security with a face value of $1000 and an annual coupon rate of 6%? Does this bond trade at a discount, at par, or at a premium?
Question 4 What is the price of a straight bond with: $1,000 face value, coupon rate of 5%, a YTM of 5%, and a maturity of 37 years? (round your final answer to 1 decimal place: 20.456 -->20.5) Your Answer:

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QUESTION 15 Suppose that all investors expect that the interest rates for the 4 years will be as follows. What is the price of a 3-year zero coupon bond with par-$1,000? Year 1-Year Forward rate 4.6% 2 4.9% 3 5.2% 4 5.5% O a. $1,000.00 Ob. $866.32 Oc. $858.92 Od. $821.15