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The following prices are available for call and put options on a stock priced at $50. The risk-free rate is 6 percent and the volatility

The following prices are available for call and put options on a stock priced at $50. The risk-free rate is 6 percent and the volatility is 0.35. The March options have 90 days remaining and the June options have 180 days remaining. The Black-Scholes model was used to obtain the prices. Strike: 45, 50, 55 Call March: 6.84, 3.82, 1.89 Call June: 8.41, 5.58, 3.54 Put March: 1.18, 3.08, 6.08 Put June: 2.09, 4.13, 6.93 Assume that each transaction consists of one contract (for 100 shares) unless otherwise indicated. consider a bull money spread using the March 45/50 calls. 1. How much will the spread cost? 2. What is the maximum profit on the spread? 3. What is the maximum loss on the spread? 4. What is the profit if the stock price at expiration is $47? 5. What is the breakeven point? 6. Suppose you closed the spread 60 days later. What will be the profit if the stock price is still at $50?

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