Question

In: Accounting

ABC wants to have $20,000 in a savings account four years from now. What amount must...

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

$13,540

$13,660

$3,095

Solutions

Expert Solution

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)

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