a) ₹57.58
b) ₹67.68
c) ₹77.78
d) ₹87.88
correct answer is: b) ₹67.68
Explanation
To calculate the present value we can use the following present value formula, which is:
Present Value (PV) =\large\frac{Future\ Valu\left(FV\right)}{\left(1+r\right)^t}
Here,
Future Value (FV) = ₹ 100
Rate (r) = 5 % or \large\frac{5}{100} or 0.05
Time (t) = 8 years
Put the value in the formula, we get:
PV =\large\frac{100}{\left(1+0.05\right)^8}
\rightarrow PV =\large\frac{100}{\left(1.05\right)^8}
\rightarrow PV =\large\frac{100}{1.4775}
\rightarrow PV = 67.68
\therefore Present Value is = ₹ 67.68
Ans: The present value of ₹100 in 8 years interest rate of 5% is ₹67.68.
Another method to articulate this particular query is available:
1. Calculate the present value of Rs 100 after 8 years with an interest rate of 5%.
2. Determine the value of Rs 100 in present terms after 8 years with a 5% interest rate.
3. Find out the current worth of Rs 100 after 8 years at an interest rate of 5%.
4. What is the present-day equivalent of Rs 100 to be received in 8 years at a 5% interest rate?
5. Calculate the present value of Rs 100 to be received after 8 years with an annual interest rate of 5%.