TABLE A.1 Simple Payback to Help Estimate IRR" Internal Rate of Return (%) Life (yr) 39 49 59 69 9% 10% 12% 14% 16% 18% 20% 22% 5 4.58 4.45 4.33 4.21 4.10 3.99 3.89 3.79 3.60 3.43 3.27 3.13 2.99 2.86 6 5.42 5.24 5.08 4.92 4.77 4.62 4.49 4.36 4.11 3.89 3.68 3.50 3.33 3.17 7 6.23 6.00 5.79 5.58 5.39 5.21 5.03 4.87 4.56 4.29 4.04 3.81 3.60 3.42 8 7.20 6.73 6,46 6.21 5.97 5.75 5.53 5.33 4.97 4.64 4.34 4.08 3.84 3.62 9 7.79 7.44 7.11 6.80 6.52 6.25 6.00 5.76 5.33 4.95 4.61 4.30 4.03 3.79 10 8.53 8.11 7.727.36 7.02 6.71 6.42 6.14 5.65 5.22 4.83 4.49 4.19 3.92 11 9.25 8.76 8.31 7.897.50 7.14 6.81 6.50 5.94 5.45 5.03 4.66 4.33 4.04 12 9.95 9.39 8.86 8.38 7.94 7.54 7.16 6.81 6.19 5.66 5.20 4.79 444 4.13 13 10.63 9.99 9.39 8.85 8.36 7.90 7.49 7.10 6.42 5.84 5.34 4.91 4.53 4.20 14 11.30 10.56 9.90 9.29 8.75 8.24 7.79 7.37 6.63 6.00 5.47 5.01 4.61 4.26 15 11.94 11.12 10.38 9.71 9.11 8.56 8.06 7.61 6.81 6.14 5.58 5.09 4.68 4.32 20 14.88 13.59 12.46 11.47 10.59 9.82 9.13 8.51 7.47 6.62 5.93 5.35 4.87 4.46 25 17.41 15.62 14.09 12.78 11.65 10.67 9.82 9.08 7.84 6.87 6.10 5.47 4.95 4.51 19.60 17.29 15.37 13.76 12.41 11.26 10.27 9.43 8.06 7.00 6.18 5.52 4.98 4.53 30 Figure 2: TABLE A.2 Capital Recovery Factors Loan Interest Rate (%) Term (yrs) 3% 49 59 6% 79 8% 9% 10% 11% 129 5 0.2122 0.2184 0.2246 0.2310 0.2374 0.2439 0.2505 0.2571 0.2638 0.2706 0.2774 10 0.1113 0.1172 0.1233 0.1295 0.1359 0.1424 0.1490 0.1558 0.1627 0.1698 0.1770 15 0.0778 0.0838 0.0899 0.0963 0.1030 0.1098 0.1 168 0.1241 0.1315 0.1391 0.1468 20 0.0612 0.0672 0.0736 0.0802 0.0872 0.0944 0.1019 0.1095 0.1175 0.1256 0.1339 25 0.0512 0.0574 0.0640 0.0710 0.0782 0.0858 0.0937 0.1018 0.1102 0.1187 0.1275 30 0.0446 0.0510 0.0578 0.0651 0.0726 0.0806 0.0888 0.0973 0.1061 0.1150 0.1241 3. A 3 kW rooftop photolytic system that cost $ 3/Wp generate 4200 kWh/yr. This displaces the need to by the utility power which now cost $ 0.14/kWh. If the utility power escalates at 3 %/yr and the system last 25 years (a) Find the simple payback period (b) Find the IRR of the investment with the fuel escalation. If this is to be added to the 5%, 30 year home mortgage, Find the (c) Capacity Recovery Factor (CRF) (d) Annual loan payment e) Cost of electricity f) How you interpret the numbers obtained from part (a) to (e) TABLE A.1 Simple Payback to Help Estimate IRR" Internal Rate of Return (%) Life (yr) 39 49 59 69 9% 10% 12% 14% 16% 18% 20% 22% 5 4.58 4.45 4.33 4.21 4.10 3.99 3.89 3.79 3.60 3.43 3.27 3.13 2.99 2.86 6 5.42 5.24 5.08 4.92 4.77 4.62 4.49 4.36 4.11 3.89 3.68 3.50 3.33 3.17 7 6.23 6.00 5.79 5.58 5.39 5.21 5.03 4.87 4.56 4.29 4.04 3.81 3.60 3.42 8 7.20 6.73 6,46 6.21 5.97 5.75 5.53 5.33 4.97 4.64 4.34 4.08 3.84 3.62 9 7.79 7.44 7.11 6.80 6.52 6.25 6.00 5.76 5.33 4.95 4.61 4.30 4.03 3.79 10 8.53 8.11 7.727.36 7.02 6.71 6.42 6.14 5.65 5.22 4.83 4.49 4.19 3.92 11 9.25 8.76 8.31 7.897.50 7.14 6.81 6.50 5.94 5.45 5.03 4.66 4.33 4.04 12 9.95 9.39 8.86 8.38 7.94 7.54 7.16 6.81 6.19 5.66 5.20 4.79 444 4.13 13 10.63 9.99 9.39 8.85 8.36 7.90 7.49 7.10 6.42 5.84 5.34 4.91 4.53 4.20 14 11.30 10.56 9.90 9.29 8.75 8.24 7.79 7.37 6.63 6.00 5.47 5.01 4.61 4.26 15 11.94 11.12 10.38 9.71 9.11 8.56 8.06 7.61 6.81 6.14 5.58 5.09 4.68 4.32 20 14.88 13.59 12.46 11.47 10.59 9.82 9.13 8.51 7.47 6.62 5.93 5.35 4.87 4.46 25 17.41 15.62 14.09 12.78 11.65 10.67 9.82 9.08 7.84 6.87 6.10 5.47 4.95 4.51 19.60 17.29 15.37 13.76 12.41 11.26 10.27 9.43 8.06 7.00 6.18 5.52 4.98 4.53 30 Figure 2: TABLE A.2 Capital Recovery Factors Loan Interest Rate (%) Term (yrs) 3% 49 59 6% 79 8% 9% 10% 11% 129 5 0.2122 0.2184 0.2246 0.2310 0.2374 0.2439 0.2505 0.2571 0.2638 0.2706 0.2774 10 0.1113 0.1172 0.1233 0.1295 0.1359 0.1424 0.1490 0.1558 0.1627 0.1698 0.1770 15 0.0778 0.0838 0.0899 0.0963 0.1030 0.1098 0.1 168 0.1241 0.1315 0.1391 0.1468 20 0.0612 0.0672 0.0736 0.0802 0.0872 0.0944 0.1019 0.1095 0.1175 0.1256 0.1339 25 0.0512 0.0574 0.0640 0.0710 0.0782 0.0858 0.0937 0.1018 0.1102 0.1187 0.1275 30 0.0446 0.0510 0.0578 0.0651 0.0726 0.0806 0.0888 0.0973 0.1061 0.1150 0.1241 3. A 3 kW rooftop photolytic system that cost $ 3/Wp generate 4200 kWh/yr. This displaces the need to by the utility power which now cost $ 0.14/kWh. If the utility power escalates at 3 %/yr and the system last 25 years (a) Find the simple payback period (b) Find the IRR of the investment with the fuel escalation. If this is to be added to the 5%, 30 year home mortgage, Find the (c) Capacity Recovery Factor (CRF) (d) Annual loan payment e) Cost of electricity f) How you interpret the numbers obtained from part (a) to (e)