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.).