3. The current price of NVDA stock is $230. Suppose the stock's volatility is correctly estimated to be 50%. You bought 20 units of out-of-money calls on this stock that mature in 2 months and have a strike price of $300. The risk-free interest rate is 4% per year. (a) What was the call's delta when you bought them? (b) To Delta-hedge your position, how should you trade? (c) Suppose you want to first achieve Gamma-neutrality, how would you trade? (d) After Gamma hedging, what is the new Delta of your option portfolio? How would you trade if you want to make your portfolio Delta-Gamma hedged