Suppose an investor wants to replicate a call option on the…

Suppose an investor wants to replicate a call option on the following stock and that the assumptions of the BSOPM are correct.The underlying stock’s price is $92.75 and the annualized volatility of its log-returns is 53%. The option to be replicated has a strike price of $83.50 and a twelve-month maturity. The risk-free rate is currently 5.25% per year, continuously compounded.How much cash would the investor need to save or borrow to replicate the call? (Enter a positive number for the amount saved and a negative number for the amount borrowed. Round your answer to the nearest $0.0001.

The price of ABC Co’s stock is currently $57.75 and the annu…

The price of ABC Co’s stock is currently $57.75 and the annualized volatility of its log-returns is 46%. The stock does not pay dividends. The risk-free rate is 4.00% per year, continuously compounded.If the price of ABC’s stock increases by $1, approximately how much will the BSOPM price of the three-month, 64.25-strike call change?  Only use delta in the approximation.

An option trader creates a delta-hedged covered call (or “bu…

An option trader creates a delta-hedged covered call (or “buy-write”) in order to short 200 call options on a stock with a spot price of $200. The stock’s log-return has a volatility of 50 percent per year. The trader chooses to short the OOM calls with a strike price of $230 and five days until expiration (assuming 252 trading days in a year). The appropriate risk-free rate is 4 percent per year. If the price of the underlying were to immediately fall by $20, approximately what gain or loss would the trader experience? Use delta and gamma to calculate the approximation. Enter your answer as a number of dollars, rounded to the nearest $0.0001. Enter gains as positive amounts and losses as negative amounts.