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XYZ Bank pays 12 per cent and compounds interest quarterly. If `1,000 is deposited initially,

how much shall it grow at the end of 5 years?

User Tomika
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1 Answer

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Answer:

The investment will grow to approximately 2,331.94 at the end of 5 years.

Explanation:

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(n*t)

where:

A = the amount at the end of the investment period

P = the principal amount (initial deposit)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, we have:

P = 1,000 (initial deposit)

r = 0.12 (12% annual interest rate)

n = 4 (compounded quarterly, so 4 times per year)

t = 5 (the investment period is 5 years)

So the formula becomes:

A = 1,000(1 + 0.12/4)^(4*5) = 1,000(1.03)^20 ≈ 2,331.94

Therefore, the investment will grow to approximately 2,331.94 at the end of 5 years.

Hope this helps, I'm sorry if it doesn't. If you need more help, ask me! :]

User Greg Maletic
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