SLIDE 28 4/23/2010 28
Discount Rate
Year Nominal Value 3% 5% 7% PV (year 0) $ 100,000 $ 85,302 $ 66,649 $ 48,840 1 10,000 9,709 9,246 8,642 2 10,000 9,426 8,550 7,468 3 10,000 9,151 7,905 6,453 4 10,000 8,885 7,310 5,576 5 10,000 8,626 6,759 4,819 6 10,000 8,375 6,249 4,164 , , , , 7 10,000 8,131 5,778 3,599 8 10,000 7,894 5,343 3,110 9 10,000 7,664 4,940 2,687 10 10,000 7,441 4,568 2,322
Elemental
Compute Net Present Values @ Year Project Cost Benefits 3% 5% 7% 9% 3,000,000
400,000 388,350 369,857 345,660 317,120 2 400,000 377,038 341,985 298,703 251,412 , , , , , 3 400,000 366,057 316,214 258,124 199,319 4 400,000 355,395 292,384 223,059 158,020 5 400,000 345,044 270,351 192,756 125,278 6 400,000 334,994 249,977 166,571 99,321 7 400,000 325,237 231,140 143,942 78,741 8 400,000 315,764 213,721 124,388 62,426 9 400,000 306,567 197,616 107,490 49,491 10 400,000 297,638 182,724 92,887 39,237 Net Present Values --> 3,000,000 NPV---> 3,412,081 2,665,968 1,953,580 1,380,366 Net Benefits 412,081 (334,032) (1,046,420) (1,619,634) Benefit Cost Ratios 1.14 0.89 0.65 0.46
Dave Swenson ‐‐ Iowa State University