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Actuarial FM question:
Please show steps, final answer is
a)call payoff = 0 when S_T=80 or 90, =10 when S_T=105
call profit= -2.04 when S_T=80 or 90, =7.96 when S_T=105
?b) S_T> 107.0396
At time 0, the share price of a stock was $85. At that time, a call option on a share of stock with a strike price of $95 expiring 6 months later had a premium $2.00. Risk free interest is 4% annual effective. (a) Determine the payoff and the profit on the purchased call option on the expiry date for each of the following stock values at time T = 0.5: 80, 90, 105. (b) Determine the share price needed on expiry to obtain a profit on the purchased call option of at least $10.
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Use Runge-Kutta method to answer the solution.
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