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You calcualted the Greeks of a put option on the S&P 500 index. The index value is 3748, volatility 23.37% per year, and

Posted: Mon Nov 15, 2021 5:18 pm
by answerhappygod
You calcualted the Greeks of a put option on the S&P 500 index. The index value is 3748, volatility 23.37% per year, and interest rate 0.09% per year. The option's strike price is 3400 and time to expiration 0.25 years. You obtained the following results (rounded):
Put Premium = 47
Delta = -0.19
Gamma = 0.0006
Vega = 5
Theta = -0.93
Which of the following statements is FALSE?
For an instantaneous 1 point increase in the S&P 500 index, the put premium will decrease by 19 cents
If the volatility of the index rises by 1% (from 23.37% to 24.37%) in the next instant, the option value will rise by $5
If one trading day passes and nothing else will change over that day, option price will become $46.07
For an instantaneous 1 point move in the S&P 500 index, the Delta of this put option will increase in absolute value to (0.19 + 0.0006) = 0.1906