1. Show that the Black-Scholes-Merton formulas for call and put options satisfy put-call parity.
2. A stock price is currently $50 and the risk-free interest rate is 5%. Use the DerivaGem software to translate the following table of European call options on the stock into a table of implied volatilities, assuming no dividends. Are the option prices consistent with the assumptions underlying Black-Scholes-Merton?
![366_Table.jpg](https://secure.tutorsglobe.com/CMSImages/366_Table.jpg)