Question

Present Value of $1 Periods 1.0% 3.0% 3.75% 4.0% 4.25% 5.0% 6.0% 7.0% 0.99010 0.98030 0.97059 0.96098 0.95147 0.94205 0.93272 0.92348 0.91434 0.90529 Present Value of $1 Periods 1.0% 2.0% 0.98039 0.96117 0.94232 0.92385 0.90573 0.88797 0.87056 0.85349 0.83676 0.82035 0.97087 0.94260 0.91514 0.88849 0.86261 0.83748 0.81309 0.78941 0.76642 0.74409 0.96386 0.92902 0.89544 0.86307 0.83188 0.80181 0.77283 0.74490 0.71797 0.69202 0.96154 0.92456 0.88900 0.85480 0.82193 0.79031 0.75992 0.73069 0.70259 0.67556 0.95923 0.92013 0.88262 0.84663 0.81212 0.77901 0.74725 0.71679 0.68757 0.65954 0.95238 0.90703 0.86384 0.82270 0.78353 0.74622 0.71068 0.67684 0.64461 0.61391 0.94340 0.89000 0.83962 0.79209 0.74726 0.70496 0.66506 0.62741 0.59190 0.55839 0.93458 0.87344 0.81630 0.76290 0.71299 0.66634 0.62275 0.58201 0.54393 0.50835 2.0% 3.0% 3.75% 4.09 4.25% 5.0% 6.0% 0.89632 0.88745 0.87866 0.86996 0.86135 0.85282 0.84438 0.83602 0.82774 0.81954 0.77977 0.74192 Present Value of $1 Periods 8.0% 0.80426 0.78849 0.77303 0.75788 0.74301 0.72845 0.71416 0.70016 0.68643 0.67297 0.60953 0.55207 0.72242 0.70138 0.68095 0.66112 0.64186 0.62317 0.60502 0.58739 0.57029 0.55368 0.47761 0.41199 0.66701 0.64290 0.61966 0.59726 0.57568 0.55487 0.53481 0.51548 0.49685 0.47889 0.39838 0.33140 0.64958 0.62460 0.60057 0.57748 0.55526 0.53391 0.51337 0.49363 0.47464 0.45639 0.37512 0.30832 0.63265 0.60686 0.58212 0.55839 0.53562 0.51379 0.49284 0.47275 0.45348 0.43499 0.35326 0.28689 0.58468 0.55684 0.53032 0.50507 0.48102 0.45811 0.43630 0.41552 0.39573 0.37689 0.29530 0.23138 0.52679 0.49697 0.46884 0.44230 0.41727 0.39365 0.37136 0.35034 0.33051 0.31180 0.23300 0.17411 0.47509 0.44401 0.41496 0.38782 0.36245 0.33873 0.31657 0.29586 0.27651 0.25842 0.18425 0.13137 9.0% 10.0% 11.0% 12.0% 13.0% 14.0% 15.0% 20.0% 25.0% 0.92593 0.85734 0.79383 0.73503 0.68058 0.63017 0.58349 0.54027 0.50025 0.46319 0.91743 0.84168 0.77218 0.70843 0.64993 0.59627 0.54703 0.50187 0.46043 0.42241 0.90909 0.82645 0.75131 0.68301 0.62092 0.56447 0.51316 0.46651 0.42410 0.38554 0.90090 0.81162 0.73119 0.65873 0.59345 0.53464 0.48166 0.43393 0.39092 0.35218 0.89286 0.79719 0.71178 0.63552 0.56743 0.50663 0.45235 0.40388 0.36061 0.32197 0.88496 0.78315 0.69305 0.61332 0.54276 0.48032 0.42506 0.37616 0.33288 0.29459 0.87719 0.76947 0.67497 0.59208 0.51937 0.45559 0.39964 0.35056 0.30751 0.26974 0.86957 0.75614 0.65752 0.57175 0.49718 0.43233 0.37594 0.32690 0.28426 0.24718 0.83333 0.69444 0.57870 0.48225 0.40188 0.33490 0.27908 0.23257 0.19381 0.16151 0.80000 0.64000 0.51200 0.40960 0.32768 0.26214 0.20972 0.16777 0.13422 0.10737 10 Present Value of $1 Periods 8.0% 9.0% 10.0% 11.0% 12.0% 13.0% 14.0% 15.0% 20.0% 25.0% 0.42888 0.39711 0.36770 0.34046 0.31524 0.29189 0.27027 0.25025 0.23171 0.21455 0.14602 0.09938 0.38753 0.35553 0.32618 0.29925 0.27454 0.25187 0.23107 0.21199 0.19449 0.17843 0.11597 0.07537 0.35049 0.31863 0.28966 0.26333 0.23939 0.21763 0.19784 0.17986 0.16351 0.14864 0.09230 0.05731 0.31728 0.28584 0.25751 0.23199 0.20900 0.18829 0.16963 0.15282 0.13768 0.12403 0.07361 0.04368 0.28748 0.25668 0.22917 0.20462 0.18270 0.16312 0.14564 0.13004 0.11611 0.10367 0.05882 0.03338 0.26070 0.23071 0.20416 0.18068 0.15989 0.14150 0.12522 0.11081 0.09806 0.08678 0.04710 0.02557 0.23662 0.20756 0.18207 0.15971 0.14010 0.12289 0.10780 0.09456 0.08295 0.07276 0.03779 0.01963 0.21494 0.18691 0.16253 0.14133 0.12289 0.10686 0.09293 0.08081 0.07027 0.06110 0.03038 0.13459 0.11216 0.09346 0.07789 0.06491 0.05409 0.04507 0.03756 0.03130 0.02608 0.01048 0.00421 0.08590 0.06872 0.05498 0.04398 0.03518 0.02815 0.02252 0.01801 0.01441 0.01153 0.00378 0.00124 0.01510

Answer 1

Answer -

	Explanation	Present Value ($)
Option 1	Refer working note - (1)	11301404
Option 2	Have $15.3 million today, is itself a present value only.	15300000
Option 3	Refer working note - (2)	13250579

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# Working note - (1) - Calculation of Present Value under option (1) -

Particulars	Calculation	Present Value ($)
Receive $1.74 million per year for the next 11 years.	Annuity amount * PVAF of $1 (i%, n) = $1740000 * $1 (10%, 11) = $1740000 * 6.49506 = $11301404	11301404

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# Working note - (2) - Calculation of Present Value under option (3) -

Particulars	Calculation	Present Value ($)
. Have $4.9 million today and receive $1.45 million for each of the next 9 years.	$4.9 million today, is itself a present value only.	4900000
	Annuity amount * PVAF of $1 (i%, n) = $1450000 * $1 (10%, 9) = $1450000 * 5.75902 = $8350579	8350579
Total	$4900000 + $8350579	13250579