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(Option Greeks) A stock is trading at $60 and has an annual volatility of 25%. The risk-free interest rate is 2%. A 3-month European put
(Option Greeks) A stock is trading at $60 and has an annual volatility of 25%. The risk-free interest rate is 2%. A 3-month European put has a strike price of $55.
- What is the delta of the put? If stock price increases to $61, what is the approximate change to the value of the put based on delta?
- 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?
- What is the rho of the put? If the Fed cuts interest rate by 0.5% today, what is the approximate change to the value of the put based on rho?
- What is the vega of the put? Intuitively, why is vega positive?
- If you have sold the put, how do you fully hedge your position with stock and bond?
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