Question 4: Option Greeks (20 points). Option Greeks inform us about the response of an option's value to a change in one of the inputs for the option value calculation. Consider a call option with an exercise price of $33, and a 90-day expiration horizon. The option is for a stock with a price of $35, and volatility (standard deviation) of 28%. The stock pays no dividends. The annual risk free rate in the market is 5%. Calculate the option Greeks following the practical approach. Use the simple definitions of the option Greeks. For example, A= AC / AS, in other words, if stock price increases from $35 to $36, then AS=36-35=1. And for the numerator, you would find call price when the stock price is $36 and find call price when the stock price is $35 and use the difference of these two call prices in the numerator." Each question below is independent of one another: 4. Calculate the Vega of the call option assuming that the volatility increases by 1 unit (from 28% to 29%). 5. Calculate the Rho of the call option assuming that the risk free rate increases by one unit (from 5% to 6%). Assume that there are 360 days in a year