Assume the Black-Scholes framework. For a nondividend-paying stock, you are given: i) The current stock price is 20. ii)

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Assume the Black-Scholes framework. For a nondividend-paying
stock, you are given:
i) The current stock price is 20.
ii) The stock’s volatility is 30%.
iii) The continuously compounded risk-free rate is 5%.
iv) The price of a 22-strike European put option expiring in 1
year is 2.93.
Suppose that you have just purchased 100 units of such put
options and you immediately delta-hedge your position by buying and
selling stocks and risk-free bonds. Calculate your profit if you
close your position six months later when the stock price increases
to 24 and the put price decreases to 2.55.