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Rina8888 [55]
3 years ago
11

You need to have $30,250 in 17 in years. You can earn an annual interest rate of 4 percent for the first 5 years, 4.6 percent fo

r the next 4 years, and 5.3 percent for the final 8 years. how much do you have to deposit today?
Business
1 answer:
mylen [45]3 years ago
6 0

Answer:

The amount that has to be deposited today is $6205.63

Explanation:

The given parameters are;

The annual interest rate for the first 5 years = 4 percent

The annual interest rate for the next 4 years = 4.6 percent

The annual interest rate for the final 8 years = 5.3 percent

Let the amount deposited be X, we have;

X × (1 + 0.04)⁵ + X × (1 + 0.04)⁵×(1.046)⁴ + X × (1 + 0.04)⁵×(1.046)⁴ ×(1.053)⁸ = $30,250

X ((1.04)^5 + (1 + 0.04)^5×(1.046)^4 + (1 + 0.04)^5×(1.046)^4 ×(1.053)^8) = $30,250

X × 4.875 = $30,250

X = $30,250/$4.875 = $6205.63

The amount that has to be deposited today = $6205.63.

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4 0
3 years ago
Read 2 more answers
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Explanation:

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Quarterly\ rate(r) = \frac{0.06}{4}

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Payments are made at end of quarter. So future Value of annuity formula will become applicable.

Future value of annuity due = P\times\frac{(1+r)^{n}-1}{r}

                                                            = 100\times\frac{(1+0.015)^{53}-1}{0.015}

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