Consider the following information

	European Call	European Put
Price	30.56025	23.53868
Delta	0.58934	-0.41066
Gamma	0.00568	0.00568
Vega	77.17649	77.17649
Rho	67.41846	-69.39575
Theta	-27.97426	-25.23797

(a) Suppose you are a market maker and you are short 1 put. What is the trade you have to make on the stock (assume you can trade fractions of shares.)

(b) Interpret the value of Vega. What information does it tell us?

(c) Interpret the value of Theta. What information does it tell us? Which, between the call or the put, is most affected?

(d) Suppose you know, for sure, the stock price will go down by $1. You are not allowed to short the stock. What trade would make the most profits? (You can trade the stock, the call, or the put.)