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. suppose an investor expects the stock price to remain at about $50 and decides to execute a butterfly spread using the June calls. 7. What will be the cost of the butterfly spread? 8. What will be the profit if the stock price at expiration is $52.50?