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Suppose you hold LLL employee stock options representing options to buy 15,000 shares of LLL stock. You wish to hedge your position by buying put

Suppose you hold LLL employee stock options representing options to buy 15,000 shares of LLL stock. You wish to hedge your position by buying put options with three-month expirations and a $24.84 strike price. LLL accountants estimated the value of these options using the Black-Scholes-Merton formula and the following assumptions:

S = current stock price = $23.06
K = option strike price = $25.49
r = risk-free interest rate = 0.052
= stock volatility = 0.24
T = time to expiration = 3.5 years

How many put option contracts are required? (Note that such a trade may not be permitted by the covenants of many ESO plans. Even if the trade were permitted, it could be considered unethical.)

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