Question #80911

Petro invests R24000.00 in an investment fund that offers an interest rate of 10% per annum compounded yearly. After 4 years, he withdraws R18000.00 to pay for security system. After a further 2 years he decides to withdraw the remaining amount. How much will this be?
(Hint: Use a time-line).
1

Expert's answer

2018-09-17T10:03:08-0400

Answer on Question #80911 – Math – Financial Math

Question

Petro invests R24000.00 in an investment fund that offers an interest rate of 10% per annum compounded yearly. After 4 years, he withdraws R18000.00 to pay for security system. After a further 2 years he decides to withdraw the remaining amount. How much will this be?

(Hint: Use a time-line).

Solution

After 4 years P=24000(1+0.1)4=35138.40P = 24000(1 + 0.1)^4 = 35138.40.

After withdrawing 35138.4018000.00=17138.4035138.40 - 18000.00 = 17138.40.

After further 2 years P=17138.40(1+0.1)2=20737.46P = 17138.40(1 + 0.1)^2 = 20737.46.

Answer: 20737.46.

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