Mathematical Techniques in Finance‚ 2009) Q2. Hedging Problem Solution: a. Returns matrix of basis assets is The payoff the digital put option is Price of return S = 1‚ and Therefore‚ Since The hedge which minimizes the expected squared hedging error is By Matlab code: =[1.3*sqrt(0.3)‚1.05*sqrt(0.3);1.1*sqrt(0.5)‚1.05*sqrt(0.5);0.8*sqrt(0.2)‚1.05*sqrt(0.2)] =[0;0;sqrt(0
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FINS 3635 - Options‚ Futures‚ and Risk Management Techniques: Mock Final May 28‚ 2012 1) Consider a firm with two classes of zero-coupon debt: senior debt and junior debt. Suppose that the firm’s debt securities both mature at time T1 and the senior ranking debt has a face value of X1 and the junior ranking debt has a face value of X2 . The claims of the senior debt holders are paid first‚ before the claims of the junior debt holders‚ who in turn are paid out their claims before the equity holders
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rates currently being swapped for three month LIBOR is 12% per annum for all maturities. The three month LIBOR rate one month ago was 11.8% per annum. All rates are compounded quarterly‚ what is the value of the swap? 4. A four month European call option on a non-dividend paying stock is currently selling for $5. The stock price is $64‚ the strike price is $60 and a dividend of $0.80 is expected in one month. The risk free interest rate is 12% per annum for all maturities. What opportunities are there
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Chapter 7 & Options 1. Assume that you sold a 100 call for $10. Calculate your profit/loss per share if the future stock prices are $80‚ $90‚ $100‚ $110. What type of investor (bullish or bearish) sell a call? Why? 2. Assume that you bought a 110 put for $11. Calculate your profit/loss per share if the future stock prices are $ $90‚ $100‚ $110‚ $120. What type of investor (bullish or bearish) buy a put? Why? 3. If a stock splits 5 for 3 how would the exchange adjust a put option contract
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......................... 5 2. FUTURES .................................................................................................................... 11 3. OPTIONS..................................................................................................................... 26 4. TRADING STRATEGIES USING FUTURES AND OPTIONS ........................... 40 5. RISK MANAGEMENT IN DERIVATIVES............................................................ 50 6. SETTLEMENT OF DERIVATIVES .....
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Chapter 14 14.3. Explain the principle of risk-neutral valuation. The price of an option or other derivative when expressed in terms of the price of the underlying stock is independent of risk preferences. Options therefore have the same value in a risk-neutral world as they do in the real world. We may therefore assume that the world is risk neutral for the purposes of valuing options. This simplifies the analysis. In a risk-neutral world all securities have an expected return equal to risk-free
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choose between either to purchase a forward contract and lock the cost of the January US$7million or to purchase call options for the USD for $7.5million‚ and which course of action will provide the highest benefit and lowest risk possible under different exchange rates. Should the CAD depreciate with respect to the USD Pixonix costs would be higher. Question #2 Various Hedging Options: a) Purchase a forward contract Cain can eliminate exchange rate risk by engaging in a forward contract by locking
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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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Lattice Model. The Lattice Model will use these user inputs to generate several outputs. In our model‚ the output being calculated is the Value Per Option‚ which is multiplied by the number of options to calculate the Total Value of Options. In our Lattice Model‚ these inputs are: Current Stock Price Exercise Price Contractual Life of the Option Suboptimal Exercise Factor Volatility Risk-Free Interest Rate Dividend Yield Number of Shares Granted The Current Stock Price is the stock price
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See attached. 4. Show how the total CAD cost at the end of January of hedging with an option varies under the three scenarios. (The total cost includes what you pay for the USD and what you pay for the option. You can combine this with the table in question 2.) Do you use a call or put option? Call option—pay 1.73/100 per unit in the contract (7.5m)‚ in CAD → CAD 129‚750. If exercise the call option‚ pay CAD 7‚012‚500. Total is CAD 7‚142‚250. 5. Should Pixonix hedge? (A sentence or two
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