1. Apple stock (AAPL) is priced at $141.66. The 12/16/22 (176 day) (strike 150) put is valued at 16.45. Its delta is .552, gamma .013, theta .032. Based on only these Greeks, if the stock rises by $20 in 10 days and you have shorted a put, provide:

1. The projected value of the put.
2. The projected profit of one contract.

2. Another AAPL option is 12/16-176 days, strike 115, bid $3.95, delta .176, gamma .007.

1. At what delta should you close the position if you have shorted it assuming an deterioration has occurred?
2. Based on your answer, provide the projected stock price.

3. If the old stock price is $15, the new stock price is $20, the old call option is $2.00 and the new call option is $3.5, what is the call option delta?

Please note this is one big question. Please answer the whole thing! Could really use the help. Thanks!