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The present price of a stock without dividends is 250 GBP. The market value of a European call with strike price 235 GBP and time

The present price of a stock without dividends is 250 GBP. The market value of a European call with strike price 235 GBP and time to maturity 180 days is 21.88 GBP. The annual risk-free rate is 1%.

Assume that the market price for a European put with same strike price and time to maturity is 5.25 GBP. Show that this is inconsistent with put-call parity.

Describe how you can take advantage of this situation by finding a combination of pur- chases and sales which provides an instant profit with no liability 180 days from now.

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