Assume SPY has the current price of 452. The following weekly options have the corresponding prices and greeks Option Price Delta Theta Vega Call 450 3.5 0.7 -0.5 0.2 Call 455 1.5 0.3 -0.4 0.15 Call 460 0.5 0.1 -0.2 0.1 Call 4650.2 0.05 -0.1 0.05 a. If you buy a call 450 at 3.5$/share and then SPY price goes to 453 right after that, what is your profit? What is the return on investment (ROI)? If SPY stops at 456 at expiration, what is your profit or loss? b. If you buy a call 455 at 1.5$/share instead of call 450 and SPY goes to 453 the same way. What is the profit and ROI? Compare to case a, do you have better ROI? If SPY stops at 456 at expiration, what is your profit or loss