You own a number of shares of TAZA, and are considering using options to reduce the risk of your position. The current price of TAZA stock is $350. You observe the prices (and have calculated the associated greeks) for January 2021 TAZA options as shown below:

Strike Call price Put price Call delta Put delta vega gamma

275 $ 115 $ 32 0.78 -0.22 113 .002

325 90 55 0.68 -0.32 136 .002

375 70 85 0.57 -0.43 148 .002

425 50 120 0.48 -0.52 150 .002

Find the total position delta (per share) for all three of the following strategies: (please answer parts (a), (b) and (c).

a) sold one call with a strike of $375.00 per share (you own the stock & sold calls);

b) buy one put with a strike of $275.00 per share (you own the stock and bought puts);

c) Collar: buy 1 put with a $275 strike, sell 1 call with a $375 strike (you also own the stock);