Question
10.10.7 Petroleum Field and Refinery 1. Create a spreadsheet application that replicates the project financials in Table 10.38. Determine the sensitivity of the NPV and
10.10.7 Petroleum Field and Refinery
1. Create a spreadsheet application that replicates the project financials in Table 10.38. Determine the sensitivity of the NPV and IRR of the project to the following inputs:
(i) The oil price
(ii) The costs of production
(iii) The inflation price
(iv) The tax rate
(v) The discount rate
(vi) The initial capital investment
Draw a tornado diagram of the sensitivities.
2. The capital cost estimate is within 30%. How does this affect the sensitivity assessment?
3. Why would lenders require the debt service account?
4. Explain the change in working capital in year 20.
5. Explain the difference between the free cash flow and the net cash flow to equity partners.
A $2.3 billion oil-field project, called PetroGen, is planned in Angola. The project consists of wells in the Atlantic Ocean, a pipeline to the coast, and a coastal refinery. The project will require capital investment of S400 million in the first year. 5800 million in the second year, and 600 million in the third year. The plans to produce 137,000 barrels of oil per day. The total operating costs for the oil production and refining are estimated to be $10 per barrel. The project is funded by a consortium of oil producers through a bond issue of $1,450 million with a coupon rate of 10% pa. The bonds are amortized (that is, repaid) over 14 years. The equity contribution of the oil producers is 37% of the total requirement. The total requirement exceeds the fixed capital due to working capital requirements and the debt service reserve account. The debt service reserve is required by the bondholders to ensure that interest and principal payments can be met. In this case, it is equal to 6 months of the principal and interest that is required for the servicing the bonds.
Project Financials
The project financials, expenses, taxes, capital investment are prepared on the entity basis from its 5 components: revenue, expenses, tax, capital investment and change in working capital. The project financials for the expected life of 20 years is shown in Table 10.38. The revenue is calculated based on a price of $21 per barrel, and the costs are assumed to $9 per barrel. The fixed capital is depreciated over 15 years on a straight-line basis. Tax is charged as 35% of the operating income less depreciation. The working capital is assumed to be 15% of the fixed capital. The free cash flow is the given by the expression:
Free Cash Flow = Revenue - Expenses - Tax- Fixed Capital - (Working Capital)
where (Working Capital) is the change in working capital. In the last year of the project all the working capital is recovered. All prices and costs are assumed to rise with inflation at a rate of 3% pa.
10.8.2 Assessment
The NPV of this opportunity is $1.609 billion at a discount rate of 10%, and the IRR is 19.3%. The project is a good investment.
10.8.3 Financing of the Project
The project is financed through non-recourse finance. Non-recourse finance, also known as project finance, is a method of isolating the project risks so that the usage of debt is maximized. The debt is raised through the issue of 10% bonds with a maturity of 14 years. The principal repayment and the interest charged are given in Table 10.39. The schedule of repayment of the principal is defined by the conditions for the issue of the bonds. Interest is charged at 10% on the outstanding amount. In addition, the lenders require that 6 months of debt service be deposited in a debt service account. The calculation of the amounts in the debt service account and the amount required to fulfil this obligation are also shown in Table 10.39. The returns to the equity parties are given in Table 10.40. It is worthwhile examining the obligations of and the returns to the equity parties on their own. The operating income is the difference between the revenues and costs, and the change in working capital is as calculated before. The taxation paid is calculated from the following expression:
Tax = Tax Rate (Revenue - Costs - Depreciation - Interest)
This means that the returns to the equity parties are not calculated on the entity basis, which is the basis for the project financials. The equity contribution to the investment activities is the balance of the $2.3 billion required for the project that is not contributed by debt. The interest and principal repayments and the debt service account requirements are the same as those in Table 10.39. Thus, the net cash flow to the equity parties is given by the expression:
Net Cash Flow to Equity Parties
= Operating Income Tax (Working Capital) Interest Principal Payments Debt Service Account Capital Investment
Table 10.38 Project financials for the PetroGen opportunity Year Revenue Operating Depreciation Tax Investment Working Change in Free cash costs capital working flow capital -400 - 800 --600 -270 - 8 -400 -800 -870 424 435 447 459 472 485 498 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1,050 1,082 1,114 1,147 1,182 1,217 1,254 1,291 1,330 1,370 1,411 1,453 1,497 1,542 1,588 1,636 1,685 1,735 450 464 477 492 506 522 537 553 570 587 605 623 642 661 681 512 27 80 120 120 120 120 120 120 120 120 120 120 120 120 120 93 40 0 0 0 168 174 181 187 194 201 209 216 224 232 240 249 257 276 304 327 337 347 270 278 286 295 304 313 322 332 342 352 363 374 385 397 408 421 433 446 460 -9 -10 -10 - 10 -11 -11 -11 -12 -12 -12 -13 -13 460 526 540 555 571 586 593 592 701 595 722 744 613 1,104 Table 10.39 Debt service Year Outstanding Interest Principal Debt Debt Funding to debt loan repayment service service service account account 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 800 1,450 1,450 1,425 1,400 1.350 1,300 1.225 1,150 1,050 950 825 700 550 400 200 0 0 0 0 80 145 145 143 140 135 130 123 115 105 95 83 70 55 205 0-720 0 --505 25 170 25 168 50 190 50 185 75 205 75 198 100 215 100 125 220 125 208 150 220 150 205 200 240 200 220 0 0 0 0 0 0 0 0 -85 -84 -95 -93 -103 -99 - 108 - 103 -110 -104 -110 -103 -120 -110 0 0 0 0 -85.00 1.25 - 11.25 2.50 -10.00 3.75 -8.75 5.00 -7.50 6.25 -6.25 7.50 -17.50 10.00 110.00 0.00 0.00 0.00 40 20 0 0 0 0 Table 10.40 Returns to equity parties Year Operating Increase in Taxation Equity Interest Principal income working paid investment paid repayments capital Increase in Net cash debt flow to service equity account 0 0 0 25 0 0 0 85 0 0 270 8 8 9 9 9 25 -1 0 0 0 600 618 637 656 675 696 716 738 760 783 806 50 0 0 0 117 124 132 140 149 159 169 180 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 50 9 400 230 220 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 80 145 145 143 140 135 130 123 115 105 95 83 70 55 40 20 0 0 0 0 10 10 10 11 11 11 12 12 12 13 13 -460 191 -400 -310 -635 220 319 295 324 302 334 315 348 332 368 353 392 343 390 702 595 613 1,104 75 75 100 100 125 125 150 150 200 200 0 0 0 0 11 -3 10 -4 9 -5 8 -6 6 -8 18 -10 -110 0 0 0 831 203 216 229 243 269 304 327 337 347 855 881 908 935 963 992 The NPV of the equity cash flows should be discounted at the cost of equity. The weighted average cost of capital, WACC, is given by Equations 8.17 and 8.18. The rearrangement of these two equations results in the following expression: E D WACC = RE+ Rpbt(1 T) (10.9) E+D E +D WACC is the discount rate and is equal to 10%. The equity contribution is 37% and the debt contribution is 63%. The debt carries interest of 10%, so that Rubt, the cost of debt before tax, is equal to 10%. The tax rate is 35%. The substitution of these values in Equation 10.9 yields the following expression for the cost of equity, Re: 0.1 = (0.37) RE + (0.63)0.1(1 0.35) RE = 15.95% The NPV of the cash flows to the equity parties is $696 million and the IRR is 27%. This suggests that this is a good project for the equity investors. Table 10.38 Project financials for the PetroGen opportunity Year Revenue Operating Depreciation Tax Investment Working Change in Free cash costs capital working flow capital -400 - 800 --600 -270 - 8 -400 -800 -870 424 435 447 459 472 485 498 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1,050 1,082 1,114 1,147 1,182 1,217 1,254 1,291 1,330 1,370 1,411 1,453 1,497 1,542 1,588 1,636 1,685 1,735 450 464 477 492 506 522 537 553 570 587 605 623 642 661 681 512 27 80 120 120 120 120 120 120 120 120 120 120 120 120 120 93 40 0 0 0 168 174 181 187 194 201 209 216 224 232 240 249 257 276 304 327 337 347 270 278 286 295 304 313 322 332 342 352 363 374 385 397 408 421 433 446 460 -9 -10 -10 - 10 -11 -11 -11 -12 -12 -12 -13 -13 460 526 540 555 571 586 593 592 701 595 722 744 613 1,104 Table 10.39 Debt service Year Outstanding Interest Principal Debt Debt Funding to debt loan repayment service service service account account 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 800 1,450 1,450 1,425 1,400 1.350 1,300 1.225 1,150 1,050 950 825 700 550 400 200 0 0 0 0 80 145 145 143 140 135 130 123 115 105 95 83 70 55 205 0-720 0 --505 25 170 25 168 50 190 50 185 75 205 75 198 100 215 100 125 220 125 208 150 220 150 205 200 240 200 220 0 0 0 0 0 0 0 0 -85 -84 -95 -93 -103 -99 - 108 - 103 -110 -104 -110 -103 -120 -110 0 0 0 0 -85.00 1.25 - 11.25 2.50 -10.00 3.75 -8.75 5.00 -7.50 6.25 -6.25 7.50 -17.50 10.00 110.00 0.00 0.00 0.00 40 20 0 0 0 0 Table 10.40 Returns to equity parties Year Operating Increase in Taxation Equity Interest Principal income working paid investment paid repayments capital Increase in Net cash debt flow to service equity account 0 0 0 25 0 0 0 85 0 0 270 8 8 9 9 9 25 -1 0 0 0 600 618 637 656 675 696 716 738 760 783 806 50 0 0 0 117 124 132 140 149 159 169 180 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 50 9 400 230 220 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 80 145 145 143 140 135 130 123 115 105 95 83 70 55 40 20 0 0 0 0 10 10 10 11 11 11 12 12 12 13 13 -460 191 -400 -310 -635 220 319 295 324 302 334 315 348 332 368 353 392 343 390 702 595 613 1,104 75 75 100 100 125 125 150 150 200 200 0 0 0 0 11 -3 10 -4 9 -5 8 -6 6 -8 18 -10 -110 0 0 0 831 203 216 229 243 269 304 327 337 347 855 881 908 935 963 992 The NPV of the equity cash flows should be discounted at the cost of equity. The weighted average cost of capital, WACC, is given by Equations 8.17 and 8.18. The rearrangement of these two equations results in the following expression: E D WACC = RE+ Rpbt(1 T) (10.9) E+D E +D WACC is the discount rate and is equal to 10%. The equity contribution is 37% and the debt contribution is 63%. The debt carries interest of 10%, so that Rubt, the cost of debt before tax, is equal to 10%. The tax rate is 35%. The substitution of these values in Equation 10.9 yields the following expression for the cost of equity, Re: 0.1 = (0.37) RE + (0.63)0.1(1 0.35) RE = 15.95% The NPV of the cash flows to the equity parties is $696 million and the IRR is 27%. This suggests that this is a good project for the equity investorsStep by Step Solution
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