E9-17 (Algo) Computing a Present Value Involving an Annuity and a Single Payment LO 9-7 You have decided to buy a used car, The dealer has offered you two options: (FV of S1, PV of S1, EVA of S1, and PVA of Si) (Use the appropriate factor(s) from the tables provided.) a. Pay $560 per month for 20 months and an additional $12,000 at the end of 20 months. The dealer is charging an annual interest rate of 24%. b. Make a one-time payment of $15,882, due when you purchase the car. 1.a. Determine how much cash the dealer would charge in option (a). (Round your answer to 2 decimal places.) 1-b. In present value terms, which offer is clearly a better deal? Preient Vave of Annuty of 51 \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline Periets & 1.01 & t.op & 2.0% & 3,75s & 4.0N & 4.205 & s.os & c.os & 7.05 \\ \hline 1 & 0.70010 & 0.5tose & 0 speo? & 098196 & 0.05154 & & 0.5527 & aseses & \\ \hline 2 & 197040 & 154156 & 191347 & t.81281. & 125609 & taphs & thent & tnon & 1 sceon \\ \hline 3 & 2940m & 28aset & 2sas61 & 27 nes & 27700 & 276191 & 272325 & 257301 & 2049 \\ \hline 1 & 39017 & 3.0073 & 271710 & 26513 & 2620 & 260061 & 254505 & 3.45511 & 30mat \\ \hline 5 & 4.5543 & 4.71246 & 457971 & & 4.45187 & (4007) & 4.3204 & 421000 & 4.10020 \\ \hline 6 & 57054 & 5(6014) & 5.41719 & 5.25507 & 524214 & 5ing4 & 50750 & 43m & 4.7 CSS4 \\ \hline 7 & 6.72419 & 6.47190 & 623028 & cos79 & 600205 & ssuss. & 5.76sy) & 5.4423 & sxhe \\ \hline 4 & 7.65160 & 73848 & 701960 & 600280 & 67m4 & 6es37 & 645321 & 620579 & 5.97130 \\ \hline 9 & 1.56602 & 0.16224 & 7.70611 & 1520n & 7.4553 & 7.5135 & 3.1072 & saoses & 651520 \\ \hline 10 & 247130 & 8,40259 & 153020 & 8212n & 211000 & 10105h & & 730000 & 7 anse \\ \hline \end{tabular} Present Value of Annuity of $1 \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline Perled, & 1.0N & 2.0N & 3.0k & 3.75% & 4.0% & 4.25s & 1.0x & s.ax & n.01 \\ \hline 11 & 105763 & & 225262 & aners & oreous & gease & 13044 & & 7.45067 \\ \hline 12 & 11.25508 & 1057534 & 295400 & 95220 & 9.30507 & 9.25010 & 4.458s & 1383e4 & \\ \hline 11 & 12.1337 & 113459 & 1063495 & 10.14236 & 290565 & 9 oness & 7395 & & 335765 \\ \hline 14 & 13000 & 12.10625 & 1129607 & 10.7392 & 1056312 & 10370N & & & 274547 \\ \hline 15 & 13.36505 & 12:4926 & 1193794 & 11,31530 & 11.11ax & 10925s & tostes & 971228 & 910791 \\ \hline 16 & 147787 & 125m1 & 1256110 & 1187017 & 1165230 & 11/40931 & 10mm & 10.10810 & 9.4465. \\ \hline 17 & 1556225 & 1420187 & 13.16612 & 12.099a & 12.6567 & 1193315 & 112789 & 10.4mas & 9367n \\ \hline 18. & 16.39477 & 1499203 & 13.75351 & 1292046 & 12.65500 & 12.40500 & steavss & toimso & 100000 \\ \hline 19 & 17.22601 & 15.67846 & 1432380 & 1341731 & 1313994 & 1205938 & 12045n & 11.15an & 1031580 \\ \hline 20 & tecosss: & 1635143 & & 13.89620 & 13.59030 & 132040 & 12.46221 & 11.45%9 & 10.5901 \\ \hline 25 & 2202316 & 1052346 & 17.41315 & 1604220 & 15.6220e & 15.21734 & 1400054 & 127cos & 11.85isa \\ \hline 30 & sinom1 & 22.39646 & 1960044 & 17.12025 & 1720203 & 15.77902 & 153724 & nusen & 12 whos \\ \hline \end{tabular} Present Value of Annulty of $1 \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|} \hline Periads & a.ow & 2.0N & 10.0 & 11.0s & 12.08 & 13.0s & & 15.05 & 20.0x & 28.00 \\ \hline 1 & 0.92503 & 0.9174 & 0.90509 & 0.90090 & o.t92as & 0.82496 & oxm19 & 08557 & 0.3393 & 080000 \\ \hline 2 & 178326 & 1.75911 & 1.73554 & 1.71252 & 1.69005 & 1.66810 & 164665 & t 67571 & 1527 & 1.40000 \\ \hline 3 & 257710 & 253120 & 249685 & 2.44371 & 240183 & 236115 & 2.32163 & 22mm & 2106ts & 13500 \\ \hline 4 & 3.31213 & 32397 & 3.16387 & 3.10245 & 303735 & 2.97447 & 29131 & 205+90 & 2san & 235100 \\ \hline 5 & 299271 & 388955 & 379079 & 3.65590 & 360478 & 251723 & 3.4306 & 2.35216 & 250051 & 2.62924 \\ \hline 6 & 4.62mas & 4.44592 & 4.35576 & 423054 & 4.11141 & 199755 & 3 akth? & & 33551 & 2.51142 \\ \hline 7 & 520637 & 50325 & 4 sest2 & 471220 & 456376 & 4.42261 & 428490 & 416042 & 160455 & 3.16114 \\ \hline 8 & 574664 & 553492 & 5.23493 & 5.14612 & 496764 & 478377 & 4.53536 & cos32 & 3716 & \\ \hline 9 & 6.24659 & 599525 & 575902 & 553705 & 532025 & 5.13166 & 454537 & 477 ses & 40007 & 245313 \\ \hline 10 & 6.7006 & 541766 & 6.14457 & 5.80923 & 5.65002 & 5.42624 & 521612 & soisn & 41324 & 257060 \\ \hline \multicolumn{11}{|c|}{\begin{tabular}{l} Present Volve of Annulty of 51 \\ Periats B.os os \end{tabular}} \\ \hline Periate & c.os & 0.05 & 10.0N & 11.0W & 12.04 & 12.01 & 16.0N & 15.0% & 20.015 & as.os \\ \hline 11 & & 6=00519 & 6.49506 & 5.20652 & 5.93770 & 565694 & 5.45273 & 523971 & 43706 & 165640 \\ \hline 12 & 7508 & 7.16073 & c.t359 & 6.49235 & 6.18437 & 591765 & 5.6029 & 5.42062 & 4.43922 & 272512 \\ \hline 13 & 73097 & 7.48650 & 7.10296 & 6.74937 & 6.42355 & 6.12181 & 584236 & 550915 & 453268 & 328010 \\ \hline 14 & 824424 & 7.71615 & 73669 & 0.94187 & 662817 & 630249 & 600207 & 5.72448 & 461057 & 3 ind 408 \\ \hline 15 & 25504 & 806069 & 7.60601 & 7.19087 & 681086 & 6.46235 & 6.14217 & 584737 & 467547 & 385926 \\ \hline 16 & 8.95137 & 0.31296 & 7,82371 & 7,37916 & 697395 & 6 cosas & 6.2506 & 595423 & 472956 & 18th41 \\ \hline 17 & 212164 & 85035 & 8.02155 & 7.54879 & 7.1195 & 6.7200 & 6.7286 & 604715 & 4.77463 & 390923 \\ \hline 18 & 237169 & 875863 & 820141 & 7,70162 & 724967 & 6.83991 & 6.46742 & 6.12797 & 4.1219 & 392794 \\ \hline 19 & 960360 & & 8.35492 & 733929 & 7.3577 & 693797 & 6.55037 & 6.19323 & 4.04350 & 39423 \\ \hline 20 & 931815 & 9.12855 & as 51356 & 796333 & 7.46444 & 7.02415 & 6.62313 & 6.25933 & 4.56958 & 39538 \\ \hline 25 & 10.57471 & 9ezrss & 907704 & 842174 & 734314 & 7.3299 & 6.7293: & 6.46415 & 4.94755 & \\ \hlinex & 112578 & 102765 & 242651 & 6.69o7s & 8.05518 & 7,49565 & 7,00266 & 6.5658 & 4.9744 & 39506 \\ \hline \end{tabular}