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For each of the following situations involving annuities, solve for the unknown. Assume that interest is compounded annually
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Answer #1
Present value=Annuity amount*Discount factor at i% for n years
1 Present value=2000*Discount factor at 8% for 5 years=2000*3.99271=$ 7985
2 585296=150000*Discount factor at i% for 4 years
Discount factor at i% for 4 years=585296/150000
Discount factor at i% for 4 years=3.901973
Check Present value annuity table in period 4 row for 3.901973
i=1%
3 351822=200000*Discount factor at 9% for n years
Discount factor at 9% for n years=351822/200000
Discount factor at 9% for n years=1.75911
Check Present value annuity table in 9% column for 1.75911
n=2
4 510000=69620*Discount factor at i% for 8 years
Discount factor at i% for 8 years=510000/69620
Discount factor at i% for 8 years=7.325481
Check Present value annuity table in period 8 row for 7.325481
i=2%
5 245000=Annuity amount*Discount factor at 10% for 4 years
245000=Annuity amount*3.169865
Annuity amount=245000/3.69865=$ 77290
Present value Annuity amount i= n=
1 7985 2000 8% 5
2 585296 150000 1% 4
3 351822 200000 9% 2
4 510000 69620 2% 8
5 245000 77290 10% 4
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