Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
4th Edition
ISBN: 9780134083278
Author: Jonathan Berk, Peter DeMarzo
Publisher: PEARSON
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Question
Chapter 6, Problem 18P
Summary Introduction
To determine: The price of the five year zero-coupon bond.
Introduction: A bond is a debt instrument with which the shareholder credits the cash to an entity which can be a government or an organization that scrounges finance for a distinct timeframe at a predefined interest rate. Coupon rate is expressed as an interest rate on a fixed income security similar to a bond. It is also known as the interest rate that the bondholders get from their investment. It depends on the yield depending on the day the bond is issued.
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D3)
The value of a derivative that pays off $100 after one year if a company has defaulted during the year is $5. The value of a derivative that pays off $100 after one year if a company has not defaulted is $97.
(a) What is the risk-free rate?
(b) What is the risk-neutral probability of default?
1. Suppose that, in each period, the cost of a security either goes up by a factor of u = 2 or down by a factor d = 1/2. Assume the initial price of the security is $100 and that the interest rate r is 0.
c) Assuming the strike price of a European call option on this security is $90, compute the possible payoffs of the call option given that the option expires in two periods.
4. Determine the risk-neutral value of a eight-month European put option to sell a FLB (First
Local Bank) share for a price of R400 when the current price is R420, the interest rate is 10%.
and the volatility of the security is 0.28?
Chapter 6 Solutions
Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
Ch. 6.1 - What is the relationship between a bonds price and...Ch. 6.1 - The risk-free interest rate for a maturity of...Ch. 6.2 - If a bonds yield to maturity does not change, how...Ch. 6.2 - Prob. 2CCCh. 6.2 - How does a bonds coupon rate affect its...Ch. 6.3 - How do you calculate the price of a coupon bond...Ch. 6.3 - How do you calculate the price of a coupon bond...Ch. 6.3 - Explain why two coupon bonds with the same...Ch. 6.4 - There are two reasons the yield of a defaultable...Ch. 6.4 - What is a bond rating?
Ch. 6.5 - Why do sovereign debt yields differ across...Ch. 6.5 - What options does a country have if it decides it...Ch. 6 - A 30-year bond with a face value of 1000 has a...Ch. 6 - Assume that a bond will make payments every six...Ch. 6 - The following table summarizes prices of various...Ch. 6 - Suppose the current zero-coupon yield curve for...Ch. 6 - Prob. 5PCh. 6 - Prob. 6PCh. 6 - Suppose a five-year, 1000 bond with annual coupons...Ch. 6 - Prob. 8PCh. 6 - Explain why the yield of a bond that trades at a...Ch. 6 - Prob. 10PCh. 6 - Prob. 11PCh. 6 - Consider the following bonds: Bond Coupon Rate...Ch. 6 - Prob. 14PCh. 6 - Prob. 17PCh. 6 - Prob. 18PCh. 6 - Prob. 19PCh. 6 - Prob. 20PCh. 6 - Prob. 22PCh. 6 - Prob. 23PCh. 6 - Suppose you are given the following information...Ch. 6 - Prob. 26PCh. 6 - Grumman Corporation has issued zero-coupon...Ch. 6 - The following table summarizes the yields to...Ch. 6 - Prob. 30PCh. 6 - Prob. 31PCh. 6 - A BBB-rated corporate bond has a yield to maturity...Ch. 6 - Prob. 33PCh. 6 - Prob. 34PCh. 6 - Prob. 35P
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Similar questions
- Suppose that, in each period, the cost of a security either goes up by a factor of 2 or goes down by a factor of 1/2 (i.e.,u= 2, d=1/2). If the initial price of the security is 100, determine the no-arbitrage cost of a call option to purchasse the security at the end of two periods for a price of 150. My main question is what should the no-arbitrage price of the call be? Can I have complete detail and formula please.arrow_forwardAssume the zero-coupon yields on default-free securities are as summarized in the following table: (Click on the following icon in order to copy its contents into a spreadsheet.) Maturity (years) 1 2 3 4 5 Zero-coupon YTM 4.30% 4.70% 5.10% 5.30% 5.50% What is the price of a five-year, zero-coupon, default-free security with a face value of $1,000 Question content area bottom Part 1 The price is ___$enter your response here.(Round to the nearest cent.)arrow_forwardA.Suppose the real risk-free rate is 3.00%, the average expected future inflation rate is 6.60%, and a maturity risk premium of 0.10% per year to maturity applies, i.e., MRP = 0.10%(t), where t is the number of years to maturity. What rate of return would you expect on a 1-year Treasury security, assuming the pure expectations theory is NOT valid? Disregard cross-product terms, i.e., if averaging is required, use the arithmetic average. a. 9.70% b. 9.12% c. 8.83% d. 8.54% e. 7.47% B. Beranek Corp has $625,000 of assets (which equal total invested capital), and it uses no debt—it is financed only with common equity. The new CFO wants to employ enough debt to raise the total debt to total capital ratio to 40%, using the proceeds from borrowing to buy back common stock at its book value. How much must the firm borrow to achieve the target debt ratio? a. $262,500 b. $202,500 c. $250,000 d. $195,000 e. $212,500arrow_forward
- Q. 16 Consider a security with a duration of 7 years. The current interest rate level is 10% p.a. How does the price of the security change if interest rates increase by 1.5% (round your answer to two decimals) ? Choose the correct option The price of the security will decrease by 1.5%. The price of the security will increase by 1.5%. The price of the security will decrease by 8.5%. The price of the security will increase by 9.55%. The price of the security will decrease by 9.55%.arrow_forwardThe pure expectations theory, or the expectations hypothesis, asserts that long-term interest rates can be used to estimate future short-term interest rates. Based on the pure expectations theory, is the following statement true or false? A certificate of deposit (CD) for two years will have the same yield as a CD for one year followed by an investment in another one-year CD after one year. True O False The yield on a one-year Treasury security is 4.6900%, and the two-year Treasury security has a 7.0350% yield. Assuming that the pure expectations theory is correct, what is the market's estimate of the one-year Treasury rate one year from now? O 9.4500% O 10.7730% O 8.0325% O 12.0015%arrow_forwardSuppose that, in each period, the cost of a security either goes up by a factor of 2 or goes down by a factor of 1/2 (i.e. u=2, d=1/2). If the initial price of the security is 100, determine the no-arbitrage cost of a call option to purchase the security at the end of two periods for a price of 150.arrow_forward
- Assume investors are indifferent among security maturities. Today, the annualized 2-year interest rate is 2.20 percent, and the 1-year interest rate is 2 percent. What is the forward rate according to the pure expectations theory? Group of answer choices 2.25% 2.20% 2.00% 2.40%arrow_forwardThe following data are gathered for: · The real risk-free rate is 1.25% · Inflation premium is constant at 2.50% · Default risk premium is 5% · Liquidity risk premium is 0.50% What is the quoted rate on a short-term government security? (Format: X.XX%)arrow_forward17. Consider two securities that pay risk-free cash flows over the next two years and that have the current market prices shown here: Security Price Today Cash Flow in One Year Cash Flow in Two Years В1 $192 $200 B2 $176 $200 a. What is the no-arbitrage price of a security that pays cash flows of $200 in one year $200 in two years? b. What is the no-arbitrage price of a security that pays cash flows of $200 in one year and $1600 in two years? c. Suppose a security with cash flows of $100 in one year and $200 in two years is trading for price of $260. What arbitrage opportunity is available? and aarrow_forward
- Assume the zero-coupon yields on default-free securities are as summarized in the following table: (Click on the following icon in order to copy its contents into a spreadsheet.) Maturity (years) Zero-coupon YTM 1 5.20% 2 5.70% 3 6.00% 4 6.30% 5 6.40% What is the price of a three-year, default-free security with a face value of $1,000 and an annual coupon rate of 2%? What is the yield to maturity for this bond? What is the price of a three-year, default-free security with a face value of $1,000 and an annual coupon rate of 2%? The price is $ (Round to the nearest cent.)arrow_forward9. A company plans to borrow $10 million for 90 days, 180 days from today. The type of FRA and the position that the company should take on this FRA to hedge its interest rate risk is most likely: FRA Position A. 3 x 6 long B. 6 x 9 long C. 6 x 3 shortarrow_forwardQ.3 Determine the risk-neutral value for a European put option (for a FLB (First Local Bank) share) that expires in eight months. The strike price is R500 and the current price is R650. The interest rate is 11%, and the volatility of the security is 0.026.arrow_forward
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