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zvonat [6]
4 years ago
11

1. Your church has decided that one of its missions will be to provide assistance to those members that demonstrate a need for a

ssistance to attend local community colleges. The board decided to set-up a trust fund that will be available in 5 years. One member puts up $10,000 to begin the fund. The church also collects another $5,000 per year for the next 5 years. How much will the fund have beginning in 5 years? Assume an interest rate of 8%.
Business
1 answer:
cluponka [151]4 years ago
3 0

Answer:<u><em>The total amount in fund at the beginning of 5^{th} year = $10000 +$19,963.55 = $29,963.55</em></u>

Explanation:

Initial amount to begin the fund = $10,000

Now , given ;

Church collects another $5,000 per year for the next 5 years at an interest rate of 8%.

Therefore we'll evaluate the Present value of these $5000 for the next 5 years.

PV = \frac{1}{(1+i)^{n}}\times 5000

where ;

i = interest rate

n = time period

∴ Net Present Value = \left [ \frac{1}{(1+0.8)^{1}}+\frac{1}{(1+0.8)^{2}}+\frac{1}{(1+0.8)^{3}}+\frac{1}{(1+0.8)^{4}}+\frac{1}{(1+0.8)^{5}} \right ]\times 5000

On evaluating the above equation;

Net Present Value = 5000×(0.926 + 0.857 + 0.794 + 0.735 + 0.681)

Net Present Value = $19,963.55

Now,

<u><em>The total amount in fund at the beginning of 5^{th} year = $10000 +$19,963.55 = $29,963.55</em></u>

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