Question

In: Accounting

6. For each of the following situations involving single amounts, solve for the unknown. Assume that...

6. For each of the following situations involving single amounts, solve for the unknown. Assume that interest is compounded annually. (i = interest rate, and n = number of years) (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided. Round your final answers to nearest whole dollar amount.)

Present Value   Future Value   i   n
1. ? $76,000   11.0%   7
2. $26,933 $90,000 ? 14
3. $17,670   $49,000   12.0% ?
4.   $39,710   $190,000 ? 15
5.   $24,439 ? 11.0%   12

Solutions

Expert Solution

pv fv i n
1 36606 76000 11 7
2 26933 90000 9 14
3 17670 49000 12 9
4 39710 190000 11 15
5 24439 85499 11 12

1

pv of 1$ 0.481658
fv 76000
pv 76000*0.481658
pv of 76000 36606

2

PV = FV*[Pvfactor for n years and I interest)
26933 = 90000 for n= 14 and I = ?
26933/90000 = pv factor for n = 14 years and I = ?
0.299256 = pv factor for n = 14 years and I = ?
closest to pv factor for i=9%

3

PV = FV*[Pvfactor for n years and I interest)
17670 = 49000*(pv factory for n=?, I =12)
0.360612 = (pv factory for n=?, I =12)
closest to pv factor for n = 9

4

PV = FV*[Pvfactor for n years and I interest)
39710 = 190000*(pv factory for n=15, I =?
0.209 = (pv factory for n=15, I =?)
closest to pv factor for i= 11%

5

FV of 1$ 3.49845
PV 24439
FV 24439*3.49845
FV of 76000 85499

HOPE THIS WAS HELPFUL.

A LOT OF EFFORTS HAVE BEEN PUT INTO THIS TO MAKE IT EASILY UNDERSTANDABLE.

INCASE OF DOUBTS GET BACK TO ME.
DO CONSIDER GIVING THIS A THUMBS UP.

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