You are bullish on Amazon and want to compare 3-month strategies of buying stock to buying call options. Currently Amazon stock is priced S0 = 2900, and 3-month call options with K=3000 cost c0 = 29 (per share). You have $2.9M to invest, so you can buy 1000 shares or go long calls on 100,000 shares.

i] How much does AMZN need to increase over the 3-month period so that the calls are the better investment?

ii] What is the risk of calls versus shares?