A coupon-paying government bond B with a face (par) value of 876 euros makes annual coupon payments at the end of each year and has a coupon rate of 2.8 percent per year. The price today of this bond is 876 euros. The risk-free yield curve is flat. The first coupon of this bond will be paid in exactly 1 year from now and in the morning. You consider a forward contract that delivers one bond B in exactly 1 year from now in the afternoon, i.e. right after the first coupon has been paid out to bondholders. What must be the no- arbitrage delivery (forward) price in this forward contract initiated today?

A coupon-paying government bond B with a face (par) value of 876 euros makes annual coupon payments at the end of each year and has a coupon rate of 2.8 percent per year. The price today of this bond is 876 euros. The risk-free yield curve is flat. The first coupon of this bond will be paid in exactly 1 year from now and in the morning. You consider a forward contract that delivers one bond B in exactly 1 year from now in the afternoon, i.e. right after the first coupon has been paid out to bondholders. What must be the no- arbitrage delivery (forward) price in this forward contract initiated today?

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 real risk-free rate is 2.0% and inflation is expected to be 3.25% for the next 2 years. A 2-year Treasury security yields 5.85%. What is the maturity risk premium for the 2-year security? Round your answer to one decimal place.
The company HelloCustomer is afraid of another Corona lockdown and wants to safeguard some liquidity. Therefore it issues a bond with a face value of EUR 100 million at a price of 97.9 and a maturity of 9 years. The coupon payment is USD 1 million each year and the payment annually. The current exchange rate is 1 EUR = 1.22 USD. After 9 years the company promises to pay back the full notional amount. In addition the bond has a call option after 3 years. What is the yield to call? Please also explain how you calculated it.
The yield curve currently observed in the market is as follows: y1 = 7%, Y2 = 8%, and yz = 9%. You are trying to decide between buying a two-year bond (Bond A) and three-year bond (Bond B), each of which is default-risk free and pays annual coupons of 8% per year. You strongly believe that yield curve in one year will become flat at 9%. Which one of the two bonds should you buy today if you plan to sell this bond in exactly one year (right after you receive the first coupon payment)? Assume interest is compounded annually, and each bond has a face value of $1,000. Bond B O Neither bond -- The expected total return of both bonds will be negative if interest rates increase to 9% in one year Bond A Both bonds provide the same return over a one year investment horizon A portfolio that invests 50% of your wealth in each bond provides the highest total expected return
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Suppose the interest rate on a 1-year government bond is 3.00%, on a 4-year government bond is 3.50% and that on a 6-year government bond is 4.90%. What is the market's forecast for 2-year rates 4 years from now, assuming the pure expectations theory is correct? Show your work.
Derive the probability distribution of the 1-year HPR on a 30-year U.S. Treasury bond with a 4.0% coupon if it is currently selling at par and the probability distribution of its yield to maturity a year from now is as shown in the table below. (Assume the entire 4.0% coupon is paid at the end of the year rather than every 6 months. Assume a par value of $100.) Note: Leave no cells blank - be certain to enter "0" wherever required. Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places. Economy Boom Normal Growth Recession Probability 0.25 0.50 0.25 YTM 10.0 % $ 9.0 % 8.0 % Capital Gain 43.44 $ (56.56) Price $ Coupon Interest 4.00 HPR (52.56) % % %
Assume you can buy a bond that has a par value of $1000, matures in 10 years, yielding 6% and has a duration of 5. If you would like to use this bond to form a guaranteed investment contract “GIC” and offer a guaranteed rate of return to investors for certain years. a. what is the maximum yield you can offer? Why? Explain. b. For how many years would you make the guarantee? Explain.
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One year T-bills yield 2.50%. Based on futures rates, the market expects that one year from now, new one year t-bill will yield 2.75%. Based on the Pure Expectations theory, what is the yield of a 2-year treasury note?
An investor considers to invest 100 000 TL for the next year. This investor has 3 options. The first option is to buy a government bond that sells 100 TL. The par value of this government bond is also 100 TL and the remaining maturity is 1 year. This government bonds %20 annual coupon interest. The second option is to buy a commercial paper which sells 2200 TL discount. The par value is 10 000 TL and the maturity is 1 year. The other alternative is to invest in a common stock for a year. The current market price of the common stock is 6 TL per share and 1 year target price estimation of the market analysts is 8.2 TL on average for this share. Which option or options would you invest in and why? Show your answer mathematically.
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