A call option on Jupiter Motors stock with an exercise price of $80 and one-year expiration is selling at $7. A put option on Jupiter stock with an exercise price of $80 and one-year expiration is selling at $5.0. If the risk-free rate is 7% and Jupiter pays no dividends, what should the stock price be?
As per put-call parity
PV of strike + call price = stock price + put price {both call and put strike must be same for this equation to hold}
80 / (1+7%) + 7 = stock price +5
Therefore stock price = $ 76.77
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