swap rates (expressed with annual compounding) are 11% and 12% per annum. Estimate the two- and three-year LIBOR zero rates. The two-year swap rate implies that a two-year LIBOR bond with a coupon of 11% sells for par. If is the two-year zero rate so that . The three-year swap rate implies that a three-year LIBOR bond with a coupon of 12% sells for par. If is the three-year zero rate so that . The two- and three-year rates are therefore 11.05% and 12.17% with annual compounding. Problem 7.22
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following table: Price of Asset in 6 Agreed Forward Price months Payoff to Short Forward 40 10 45 50 5 50 50 0 55 50 -5 60 (b) The payoff 50 50 -10 to a purchased put option at expiration is: Payoff to long put option = max [0‚ Strike price - Spot price at expiration]
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price C = Call option P = Put option r = Continuous risk-free interest rate δ = Continuous dividend rate t = Time σ = Volatility (Normal distribution) ∆ = Shares of stock to replicate option B = Amount to borrow to replicate option p∗ = % Chance stock will increase (using r) p = % Chance stock will increase (using α) q = % Chance stock will decrease u = Ratio increase in the price d = Ratio decrease in the price α = Expected rate of return on a stock γ = Expected rate of return on an option C0 = Current
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FI-516 – WEEK 3 HOMEWORK PROBLEMS Problem No. 1 on Options based on Chapter 8 A Call Option on the stock of XYZ Company has a market price of $9.00. The price of the underlying stock is $36.00‚ and the strike price of the option is $30.00 per share. What is the Exercise Value of this Call Option? What is the Time Value of the Option? Problem No. 2 on Options based on Chapter 8 The Exercise (Strike) Price on ABC Company’s Option is $21.00‚ its Exercise Value is $23.00‚ and its Time Value
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2014 Fall Fin 433 Quiz #3 1. Consider a portfolio consisting of a long call with an exercise price of X‚ a short position in a non-dividend paying stock at an initial price of S0‚ and the purchase of riskless bonds with a face value of X and maturing when the call expires. What should such a portfolio be worth? a. C + P – Xe-rt b. C – S0 c. P – X d. P + S0 – Xe-rt e. none of the above 2. What is the lowest possible value of a European put? a. Max(0‚ X – S0) b. Xe-rt c. Max[0‚ S0 – Xe-rt )
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Econ 252 Spring 2011 Final Exam Econ 252 - Financial Markets Professor Robert Shiller Spring 2011 Professor Robert Shiller Final Exam Instructions: • • • • • • • • The exam consists of a total of twelve pages including this coversheet. There are two parts to this exam. In Part I‚ answer any sixteen of the twenty questions‚ five minutes each. The total for Part I is 80 minutes. In Part II‚ answer all seven questions. The total for Part II is 70 minutes.
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Problem 20-6 on Call Options based on Chapter 20 (Excel file included) You own a call option on Intuit stock with a strike price of $40. The option will expire in exactly 3 months’ time. a. If the stock is trading at $55 in 3 months‚ what will be the payoff of the call? • Payoff-max=(50-s) = max (55-40)=15 the Ford owner will gain $15 b. If the stock is trading at $35 in 3 months‚ what will be the payoff of the call? • Payoff-max=(35-s) = max (35-40)=-5 the owners will gain $-5 c. Draw
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ADVANCED CORPORATE FINANCE BELZE Loïc Financial Options Lecture 7 – Chapter 20 ADVANCED CORPORATE FINANCE – BELZE Loïc – Adapted from 2011 Berk & DeMarzo Pearson Education 7 - 20 - 1 www.em-lyon.com © EMLYON School EMLYON Business 2011 Chapter Outline • • • • • • 20.1 – Option Basics 20.2 – Option Payoffs at Expiration 20.3 – Put-Call Parity 20.4 – Factors Affecting Option Prices 20.5 – Exercising Options Early 20.6 – Options and Corporate Finance ADVANCED CORPORATE
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(2-3) methods of using stocks and options to create a risk-free hedge portfolio I found the research of this question to be extremely interesting. The simplest form of purchasing securities in order to reduce portfolio risk is hedging. These securities are intended to have negative correlation to the remainder of our portfolio so that it can help offset any other potential losses in our portfolio. We can hedge by buying a put option. We can buy stock with one put option with a strike of $25 and pay
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1 Bonds (3 points) A company aims to takeover one of its suppliers valued at 2 million Euros and is planning to fund the takeover by issuing three-year zero coupon bonds‚ each with face value C1000. After having their credit rating checked‚ executives have decided that they need to issue 2400 of these bonds to raise the 2 million needed to fund this takeover. What is the YTM of the bonds issued by the company? (a) 5.79% (b) 7.13% (c) 6.27% (d) 5.34% If the company’s credit rating changes due to
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