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What is the current value of Q12,444.00 after having deposited for 5 years at a rate of 15.50% convertible semi-annually?

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Answer to a math question What is the current value of Q12,444.00 after having deposited for 5 years at a rate of 15.50% convertible semi-annually?

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Andrea
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85 Answers
1. Convert the annual rate to a semi-annual rate:
\text{Semi-annual rate} = \frac{0.155}{2} = 0.0775

2. Calculate the total number of compounding periods:
\text{Total periods} = 2 \times 5 = 10

3. Apply the present value formula:
PV = \frac{12,444}{(1 + 0.0775)^{10}}

4. Compute \( (1.0775)^{10} \):
(1.0775)^{10} \approx 2.0806

5. Find the present value:
PV = \frac{12,444}{2.0806} \approx 5,983.23

So, the answer is:
PV \approx 5,983.23

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