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Lifetime savings accounts, known as LSAs, allow people to invest after-tax money without being taxed on...

Lifetime savings accounts, known as LSAs, allow people to invest after-tax money without being taxed on any of the gains. If an engineer invests $12,000 now and $12,000 each year for the next 15 years, how much will be in the account immediately after the last deposit, provided the account grows by 8% per year?

After the last deposit, the balance in the account will be $

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Answer #1

FV = PV(1+r)^n

Year Amount deposited Annuity factor Future Value
0 12000 3.172169114 38066.02937
1 12000 2.937193624 35246.32349
2 12000 2.719623726 32635.48471
3 12000 2.518170117 30218.0414
4 12000 2.331638997 27979.66796
5 12000 2.158924997 25907.09997
6 12000 1.999004627 23988.05553
7 12000 1.85093021 22211.16252
8 12000 1.713824269 20565.89123
9 12000 1.586874323 19042.49188
10 12000 1.469328077 17631.93692
11 12000 1.36048896 16325.86752
12 12000 1.259712 15116.544
13 12000 1.1664 13996.8
14 12000 1.08 12960
15 12000 1 12000
Balance in account after last deposit 363891.3965

Therefore after the last deposit balance in account would be $363891.3965

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