Problem The current spot price of SPY is $412 per share. Assume the log-normal model. The expected rate of return is 8%. The risk-free rate is 5%. The volatility is 20%. You are going to construct a portfolio using no more than 4 European options (counted with multiplicity) on SPY of any strike and expire in 02 months. Find a portfolio such that there is a probability at least 55% that, at expiration, the portfolio has at least $15.00 in profit. Justify your finding.
Added by Kim M.
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Since the options are European options, their expected returns can be calculated using the Black-Scholes formula. Show more…
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