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How much amount is required to be invested every year so as to accumulate ₹300000 at the end of 10 years if interest is compounded annually at 10%?
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How much amount is required to be invested every year so as to accumul...
Calculation of Required Investment
To calculate the amount required to be invested every year to accumulate ₹300000 at the end of 10 years with an annual compounded interest rate of 10%, we need to use the formula:
FV = PV x (1 + r)^n
Where,
- FV = Future Value
- PV = Present Value
- r = Annual Interest Rate
- n = Number of Years
Substitute Given Values
Initially, we have a present value of ₹0 and we want to accumulate ₹300000 at the end of 10 years. So,
- PV = ₹0
- FV = ₹300000
- r = 10%
- n = 10 years
Calculate Required Investment
Now, we can calculate the required investment using the formula:
PV = FV / (1 + r)^n
Here, we need to find out the present value or the amount that needs to be invested every year. So, we can rearrange the formula as follows:
Investment = FV / [(1 + r)^n - 1] / r
Final Calculation
Substituting the given values in the above formula, we get:
Investment = ₹300000 / [(1 + 0.1)^10 - 1] / 0.1
Investment = ₹300000 / 6.1446
Investment = ₹48802.12 (approx.)
Conclusion
Hence, the amount required to be invested every year to accumulate ₹300000 at the end of 10 years with an annual compounded interest rate of 10% is ₹48802.12 (approx.).
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How much amount is required to be invested every year so as to accumulate ₹300000 at the end of 10 years if interest is compounded annually at 10%?
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How much amount is required to be invested every year so as to accumulate ₹300000 at the end of 10 years if interest is compounded annually at 10%? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about How much amount is required to be invested every year so as to accumulate ₹300000 at the end of 10 years if interest is compounded annually at 10%? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How much amount is required to be invested every year so as to accumulate ₹300000 at the end of 10 years if interest is compounded annually at 10%?.
How much amount is required to be invested every year so as to accumulate ₹300000 at the end of 10 years if interest is compounded annually at 10%? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about How much amount is required to be invested every year so as to accumulate ₹300000 at the end of 10 years if interest is compounded annually at 10%? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How much amount is required to be invested every year so as to accumulate ₹300000 at the end of 10 years if interest is compounded annually at 10%?.
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