Discrete Compounding; i = 8% Single Payment Uniform Series Compound Compound Sinking Amount Present Amount Present Fund Factor Worth Factor Factor Worth Factor Factor To Find F To Find P To Find F To Find P To Find A Given P Given F Given A Given A Given FIP PIF FIA PIA AIF 1.0800 0.9259 1.0000 0.9259 1.0000 1.1664 0.8573 2.0800 1.7833 0.4808 1.2597 0.7938 3.2464 2.5771 0.3080 1.3605 0.7350 4.5061 3.3121 0.2219 1.4693 0.6806 5.8666 3.9927 0.1705 1.5869 0.6302 7.3359 4.6229 0.1363 1.7138 0.5835 8.9228 5.2064 0.1121 1.8509 0.5403 10.6366 5.7466 0.0940 1.9990 0.5002 12.4876 6.2469 0.0801 2.1589 0.4632 14.4866 6.7101 0.0690 2.3316 0.4289 16.6455 7.1390 0.0601 2.5182 0.3971 18.9771 7.5361 0.0527 2.7196 0.3677 21.4953 7.9038 0.0465 2.9372 0.3405 24.2149 8.2442 0.0413 3.1722 0.3152 27.1521 8.5595 0.0368 21250 2010 202212 Capital Recovery Factor To Find A Given P AIP 1.0800 0.5608 0.3880 0.3019 0.2505 0.2163 0.1921 0.1740 0.1601 0.1490 0.1401 0.1327 0.1265 0.1213 0.1168 101120 16 O 05140 0000 A new highway is to be constructed. Design A calls for a concrete pavement costing $75 per foot with a 16-year life; three paved ditches costing $5 per foot each, and four box culverts every mile, each costing $10,000 and having a 16-year life. Annual maintenance will cost $1,600 per mile; the culverts must be cleaned every four years at a cost of $500 each per mile. Design B calls for a bituminous pavement costing $45 per foot with a 8-year life, three sodded ditches costing $1.60 per foot each; and three pipe culverts every mile, each costing $2,250 and having a 8-year life. The replacement culverts will cost $2,450 each. Annual maintenance will cost $2,600 per mile, the culverts must be cleaned yearly at a cost of $215 each per mile, and the annual ditch maintenance will cost $1.50 per foot per ditch. Compare the two designs on the basis of equivalent worth per mile for a 16-year period. Find the most economical design on the basis of AW and PW if the MARR is 8% per year. 5 Click the icon to view the interest and annuity table for discrete compounding when the MARR is 8% per year. The AW value for Design A is $ /mi. (Round to the nearest hundreds.) The PW value for Design A is $ /mi. (Round to the nearest hundreds.) The AW value for Design B is $ /mi. (Round to the nearest hundreds.) The PW value for Design B is $ mi. (Round to the nearest hundreds.) The most economical design on the basis of AW and PW is