Financal Derivatives. Please answer A-D

I really need help in getting the whole lengthy question answered. If you would help, I would greatly appreciate it. But whatever anyone can answer is fine. Thanks!

3. _(8 points) Greek letters: a. Describe what is delta, gamma, yega, theta, and rho of an option respectively. b. If your portfolio has 100 shares of SPY, 1 contract of one-month at-the-money call option, 1 contract of one-month at-the-money put option, and nothing else, can your portfolio be delta neutral? If SPY price increases by $1 per share, will the portfolio price increase, decrease, or not change? c. If your portfolio has 1 contract of one-month at-the-money call option and 1 contract of one-month at-the-money put option, and nothing else, can your portfolio be gamma neutral? If SPY price decreases by 10% right after you construct your portfolio, will your portfolio value increase, decrease, or not change after this decrease? Why? d. If your portfolio has 100 shares of SPY, 1 contract of one-month at-the-money call option, 1 contract of one-month at-the-money put option, and nothing else, can your portfolio be vega neutral? If volatility increase from 30% per year to 80% per year, all else being equal (including SPY price doesn't change), will your portfolio value increase, decrease, or not change? 3. _(8 points) Greek letters: a. Describe what is delta, gamma, yega, theta, and rho of an option respectively. b. If your portfolio has 100 shares of SPY, 1 contract of one-month at-the-money call option, 1 contract of one-month at-the-money put option, and nothing else, can your portfolio be delta neutral? If SPY price increases by $1 per share, will the portfolio price increase, decrease, or not change? c. If your portfolio has 1 contract of one-month at-the-money call option and 1 contract of one-month at-the-money put option, and nothing else, can your portfolio be gamma neutral? If SPY price decreases by 10% right after you construct your portfolio, will your portfolio value increase, decrease, or not change after this decrease? Why? d. If your portfolio has 100 shares of SPY, 1 contract of one-month at-the-money call option, 1 contract of one-month at-the-money put option, and nothing else, can your portfolio be vega neutral? If volatility increase from 30% per year to 80% per year, all else being equal (including SPY price doesn't change), will your portfolio value increase, decrease, or not change