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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 **