1. A stock is trading at $50 and has an annual volatility of 30%. The risk-free interest rate is 3%. A 6-month European call and a 6-month European put both have a strike price of $48.

1. What is the delta of the call? If stock price falls to $49, what is the approximate change to the value of the call based on delta?
2. What is the delta of the put? If stock price falls to $49, what is the approximate change to the value of the put based on delta?
3. What is the theta of the call? In one trading day, what is the approximate change to the value of the call based on theta?
4. What is the theta of the put? In one trading day, what is the approximate change to the value of the put based on theta?
5. What is the vega of the call/put? If volatility jumps by 1% today, what is the approximate change to the value of the call/put based on vega?
6. What is the rho of the call? If the Fed raises interest rate by 0.25% today, what is the approximate change to the value of the call based on rho?
7. What is the rho of the put? If the Fed raises interest rate by 0.25% today, what is the approximate change to the value of the put based on rho?