could you please do all of these questions , thank you so much , i really appreciate it. thumb up for sure. :)

An investor is bearish on a stock; what are the two possible naked option strategies? Alternatively, the investor can construct a bear spread. What are the main differences between the bear spread and the naked option strategies? (b) A portfolio consists of a short covered call (i.e, short stock + long call) and a protective put. Assume the naked options in these trading strategies have the same underlying asset, strike, and maturity. Explain why the portfolio is equivalent to a long straddle (c) A portfolio consists of a long stock (i.e., the current stock price is $100) and a long European put option on the stock with a strike price of $105. Explain why the net payoff of the portfolio is equal to or greater than $5 at maturity? (Hint: ignore the premium) (d) The 90, 100, and 110 strike calls are trading at $12, $5, and $3, respectively. The stock price is $100. Explain why the maximum net payoff is 5 on a long butterfly spread using these options. (e) The stock price is currently $30. It is known that it will be either $36 or $25 at the end of 6 months. The risk-free interest rate is 10% per annum with continuous compounding. Suppose St is the stock price at the end of 6 months. What is the value of a derivative that pays off (St/2-3) at this time? Use the no-arbitrage approach of the binomial tree model. (Required: Show your work step by step) (f) Explain why the following positions could NOT be a delta-neutral portfolio: a long position in calls plus a long position in the underlying stock (2+2+2+2+4+1=13 marks) An investor is bearish on a stock; what are the two possible naked option strategies? Alternatively, the investor can construct a bear spread. What are the main differences between the bear spread and the naked option strategies? (b) A portfolio consists of a short covered call (i.e, short stock + long call) and a protective put. Assume the naked options in these trading strategies have the same underlying asset, strike, and maturity. Explain why the portfolio is equivalent to a long straddle (c) A portfolio consists of a long stock (i.e., the current stock price is $100) and a long European put option on the stock with a strike price of $105. Explain why the net payoff of the portfolio is equal to or greater than $5 at maturity? (Hint: ignore the premium) (d) The 90, 100, and 110 strike calls are trading at $12, $5, and $3, respectively. The stock price is $100. Explain why the maximum net payoff is 5 on a long butterfly spread using these options. (e) The stock price is currently $30. It is known that it will be either $36 or $25 at the end of 6 months. The risk-free interest rate is 10% per annum with continuous compounding. Suppose St is the stock price at the end of 6 months. What is the value of a derivative that pays off (St/2-3) at this time? Use the no-arbitrage approach of the binomial tree model. (Required: Show your work step by step) (f) Explain why the following positions could NOT be a delta-neutral portfolio: a long position in calls plus a long position in the underlying stock (2+2+2+2+4+1=13 marks)