You predict a firm, will enter into a highly volatile period in the next 3 months . firm's current stock price is $100. The European at-the-money options on stock are traded with an implied volatility of 55% per annum. The firm pays no dividends. A. You decide to take a directional bet on the volatility by taking a straddle strategy with the 3- month at-the-money options. The current risk free rate is 0.25%. a. What is your position in the straddle? b. What is the premium (cost) associated with the strategy according to Black- Scholes-Merton model? B. If you believe that the true volatility is 60%, a. Will you buy or sell the 3-month at-the-money call options? b. What is the profit of the delta-neutral portfolio comprising positions in 1000 calls and shares if your volatility estimate turns out to be right? Show all of your portfolio construction steps and the calculations to capture the profits. What are the risks of your delta-neutral strategy? You predict a firm, will enter into a highly volatile period in the next 3 months . firm's current stock price is $100. The European at-the-money options on stock are traded with an implied volatility of 55% per annum. The firm pays no dividends. A. You decide to take a directional bet on the volatility by taking a straddle strategy with the 3- month at-the-money options. The current risk free rate is 0.25%. a. What is your position in the straddle? b. What is the premium (cost) associated with the strategy according to Black- Scholes-Merton model? B. If you believe that the true volatility is 60%, a. Will you buy or sell the 3-month at-the-money call options? b. What is the profit of the delta-neutral portfolio comprising positions in 1000 calls and shares if your volatility estimate turns out to be right? Show all of your portfolio construction steps and the calculations to capture the profits. What are the risks of your delta-neutral strategy