(Don't copy the answer)The CFO of Octavia Ltd, a mining company, has long wanted to enter the market for rhodium, a scarce precious metal. It has the option of starting mining in one of the locations where it owns mining rights, but the CFO is worried that the current price does not justify starting mining immediately. The CFO wants a report on the profitability of the mining rights to the CEO and the board. The report should address the current value of the mining rights and the optimal plan for investment over the next couple of years. The following table sets out the current value of rhodium and the likely annual price changes: BE311-5-SP/5 Current price Annual appreciation Annual depreciation Value US$350,000 per kilogram 40% increase 20% reduction Likelihood -- Likelihood 50% Likelihood 50% You also have the following information about the market conditions: The risk-free rate of return 3% The average return on the market index 7% The mining project, once started, is likely to run for ten years. You expect the site to produce an annual quantity of rhodium of 100kg. The investment cost is US$400m. Your report should address the following points:Work out the value of the mining rights and the optimal exercise of the mining rights over the next two years.