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Several months ago, an investor sold one-year European call option on a nondividend- paying stock. She immediately delta-hedged the commitment with shares of the stock,

Several months ago, an investor sold one-year European call option on a nondividend- paying stock. She immediately delta-hedged the commitment with shares of the stock, but has not ever re-balanced her portfolio. She now decides to close out all positions. (Assume options on a 100 shares of stock)

You are given the following information:

(i) The risk-free interest rate is constant.

Several Months Ago Now
Stock Price $40 $50
Call Option Price $8.88 $14.42
Put Option Price $1.63 $0.26
Call Option Delta 0.794

The put option in the table above is a European option on the same stock and with the same strike price and expiration date as the call option. Please calculate her profit.

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