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If we want Rs8,640 three years from now and the compounded interest rate is 20% p.a how much should we invest today?
(assuming interest is compounded yearly)
Rs4,500
Rs5,000
Rs6,000
Rs5,500
- To find the present value, we use the formula for compound interest:
$$
P = \frac{F}{(1 + r)^n}
where \(P\) = present value, \(F\) = future value, \(r\) = interest rate, and \(n\) = number of years.
- Here, \(F = 8,640\), \(r = 20\%\) or 0.20, and \(n = 3\) years.
- Substituting the values,
P = \frac{8,640}{(1 + 0.20)^3} = \frac{8,640}{1.728} \approx 5,000
- Option 2: Rs5,000: Correct calculation.
- This is the amount you need to invest today to get Rs8,640 in three years.
- :white_check_mark: Correct Answer
- Option 1: Rs4,500: Incorrect as it’s lower than the calculated amount.
- Option 3: Rs6,000: Incorrect as it’s higher than needed.
- Option 4: Rs5,500: Incorrect as it’s more than calculated.
By: santosh ProfileResourcesReport error
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