Mitch Plc, a UK-based smart phone manufacturer, is considering adding a new model of smart phones to its current production line. The success of the new model depends on general market conditions. Mitchs current share price is 100. If the conditions are good, the revenues from the project are estimated to be 30 million a year for 5 years, starting a year from now, and the share price will be 150. On the other hand, if the conditions are bad, the revenues are expected to be 5 million a year for the first 3 years, and 2 million for the remaining 2 years of the project, and the share price will be 50. The initial cost of the project is 50 million. The risk-free rate is 10%. Required a) Calculate the Net Present Value (NPV) of the project. (8 marks) b) Mitchs CEO thinks that the project is too risky and wants to wait for a year and only invest in the project if the conditions are good. Assume that, if the decision is delayed, the projects cash flows and its time duration will not change but the positive cash flows will start in 2 years time. Also, assume that Mitchs competitors are not ready to produce a similar smart phone model within the next 12 months. Calculate i. the NPV of the project if the CEOs proposal is accepted (4 marks) and ii. the value of the option to delay the project. (2 marks) c) Calculate the price of a call option on Mitchs stock that expires in one years time, with an exercise price of 100, and show all your workings, using i. Risk-neutral binomial valuation approach (2 marks) and ii. Tracking portfolio (no arbitrage) approach. (4 marks) d) Mitchs CEO is considering increasing the firms leverage from 20% to 30%. Briefly discuss how the market is expected to react to this decision, and why.