In: Accounting
ABC wants to have $20,000 in a savings account four years from now. What amount must ABC deposit into an account today if the account will earn 10% interest, and interest is compounded semiannually?
Present Value of $1
Periods | 5% | 6% | 8% | 10% |
4 | 0.823 | 0.792 | 0.735 | 0.683 |
5 | 0.784 | 0.747 | 0.681 | 0.621 |
6 | 0.746 | 0.705 | 0.630 | 0.564 |
7 | 0.711 | 0.665 | 0.583 | 0.513 |
8 | 0.677 | 0.627 | 0.540 | 0.467 |
9 | 0.645 | 0.592 | 0.500 | 0.424 |
10 | 0.614 | 0.558 | 0.463 | 0.386 |
Present Value of Annuity of $1
Periods | 5% | 6% | 8% | 10% |
4 | 3.546 | 3.465 | 3.312 | 3.170 |
5 | 4.329 | 4.212 | 3.993 | 3.791 |
6 | 5.076 | 4.917 | 4.623 | 4.355 |
7 | 5.786 | 5.582 | 5.206 | 4.868 |
8 | 6.463 | 6.210 | 5.747 | 5.335 |
9 | 7.108 | 6.802 | 6.247 | 5.759 |
10 | 7.722 | 7.360 | 6.710 | 6.145 |
$6,309 |
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$13,540 |
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$13,660 |
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$3,095 |
Correct Option D i.e. $3095 | |||
Future value = Present value *(PVAF, 5%, 8 Period) | |||
20000 = Present value * 6.463 | |||
present value = 20000/6.463 | |||
3,095 | |||
As we know interest is compounded semiannual but in given table its annually. We need to convert the interest rate | |||
Annual interest rate | 10% | ||
Semiannual interest rate | 5% | (10/2) | |