12. (Oil depletion allowance ) A wealthy investor spends $1 million to drill and develop an oil well that has estimated reserves of 200,000 barrels. The well is to be operated over 5 years, producing the estimated quantities shown in the second column of Table 2.6. It is estimated that the oil will be sold for $20 per barrel. The net income is also shown. TABLE 2.6 OIL INVESTMENT DETAILS Year 1 Barrels Gross produced revenue 80,000 Net income Option 1 Option 2 allowance income 1,600,000 1,200,000 352,000 400,000 400,000 800,000 360,000 Depletion Taxable After-tax Tax income 840,000 2345 70,000 1,400,000 1,000,000 50,000 1,000,000 500,000 30,000 10,000 600,000 200,000 200,000 50,000 A depletion allowance, for tax purposes, can be computed in either of two ways each year: 22% of gross revenue up to 50% of net income before such deduction (option 1), or the investment cost of the product, equal in this case to the unit cost of the reserves, $5 per barrel (option 2). The allowance is deducted from the net income to determine the taxable income. The investor is in the 45% tax bracket. (a) Complete Table 2.6 and show that the total depletion allowance exceeds the original investment. (b) Calculate the PV and the IRR for this investment. Assume an interest rate of 20%.