Question

Exercise 5-13 (Static) Solving for unknowns; annuities (LO5-9) For each of the following situations involving annuities, solv
TABLE 1 Future Value of $1 FV - $1(1+0 601 7.04 RON 9.046 11.09 12.046 NO 2009 120000 w 100000 1.12300 1.54 104 2.5% 104 3.59
TABLE 2 Present Value of $1 $1 PV (1+1) NE 97 2.046 L046 1.596 2.046 3.046 40 Son 6.09 7.09 8.646 9.0% 10.04 11.06 12.04 20.0
TABLE 3 Future Value of an ordinary Annuity of $1 FVA 1 I-.U+1) 11.046 9040 10.096 3.09 7.69 955 50 10000 00001 3.59 2.59 104
TABLE 4 Present Value of an ordinary Annuity of $1 1 PVA ! Sver 8.04 7046 6.04 404 3.46 2.046 1.54 15 10 5.596 09477 209 0909
TABLES Future Value of an Annuity Due of $1 (1 FVAD (1) 10.04 11.09 12.09 09 SOY 5.546 7.01 10 SUS 1.54 09 ST IN 2.09 45% 104
TABLE 6 Present Value of an Annuity Due of $1 11 PVAD x (1) 5.54 S06 10 4.09 2.09 1.54 100000 2.54 100000 5.04 100000 09 0000
0 0
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Answer #1
Present Value Annuity Amount i= n=
1 $11,978 $3,000 8% 5
2 $242,980 $75,000 9% 4
3 $161,214 $20,000 9% 15
4 $500,000 $80,518 6% 8
5 $250,000 $78,868 10% 4

(1) Annuity amount * (PVAF * 8%, 5) = Present value

= $3000 * 3.99271 = $11978

(5) Annuity amount * (PVAF * 10%, 4) = Present value

Annuity amount * 3.16987 = $250000

Annuity amount = $78868

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