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    Option Strategies

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    Answer questions 1 - 3 based on the information below. Assume r = 4% and no dividends.
    Toyota Motor Corporation (TM) - Stock Price 77.70
    Options expiring in one year
    K Call Put
    70 12.2 5.8
    80 7.2 10.5
    90 3.7 17.6

    1) Consider a portfolio consisting of a long TM stock and a long put (K = $70).
    a. Graph the profits to the position as a function of stock price.
    b. How might you create a similar payoff structure using a call option? Based on a comparison of these two positions, are the options priced correctly?

    2 Charles Schwab has been recommending a naked strangle to some clients. This is a short positioning both the $70 put and $80 call.
    a. Draw a diagram showing profit as a function of stock price.
    b. Compute maximum gain, loss and breakeven point(s).

    3) Assume you own $1.5 million of Toyota stock in your retirement account and would like to protect your position. Toyota's beta is .66. Six-month S&P futures (250x the index) list for 1090. What position (long/short, number of contracts) would you take if you decided to hedge Toyota price risk with S&P forwards? How effective do you anticipate this strategy to be? Briefly explain.

    Answer questions 4 - 7 based on the information below. Assume interest rates are 2% and no dividends.
    Mylan Inc. (MYLAN) - Stock Price 17.42

    Options Prices (6-months until expiration)
    K Call Put
    14 4 0.45
    17 1.9 1.45
    20 0.7 3.3

    4 Graph the profits to the following position at expiration as a function of stock price. Compute the maximum profit, loss and breakeven points and show these distinctly in your excel file along with the formulas for computing each. A covered call (K = 20)
    a) A long stock purchase.
    b) A protective put (K = 17)
    c) A covered call (K = 20)

    5) Compute percentage gain or loss for each of the positions in #4 if the stock price in 6 months is $25. Repeat for a price of $10.

    6) Graph the profits to a butterfly spread using the Mylan options. Compute break-even points.

    7) Use the put and the call (K = 17) to create a synthetic forward. Graph the profit to this position.

    ** See ATTACHED file(s) for complete details **

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    https://brainmass.com/business/options/option-strategies-297704

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    Solution Summary

    Answers 7 questions on option strategies- long stock plus long put, short put plus short call, long stock, protective put, butterfly spread, synthetic forward

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