The present value of an immediate annuity for4 years at 10% p.a. compounded annually isRs. 23,400. It’s accumulated value after 4 years would be _______.

Answer

To find the accumulated value of an immediate annuity after 4 years, given the present value and the interest rate, we can use the formula for the accumulated value (A) based on the present value (P):

### Step-by-Step Solution:

1. **Identify the given values:**
- Present Value (P) = Rs. 23,400
- Interest Rate (r) = 10% per annum = 0.1
- Time (n) = 4 years

2. **Use the formula for accumulated value:**
The formula for the accumulated value (A) is:
\[ A = P \times (1 + r)^n \]

3. **Substitute the known values into the formula:**
\[ A = 23,400 \times (1 + 0.1)^4 \]

4. **Calculate \( (1 + 0.1)^4 \):**
\[ (1 + 0.1)^4 = (1.1)^4 \]
To calculate \( (1.1)^4 \):
\[ (1.1)^4 = 1.1 \times 1.1 \times 1.1 \times 1.1 = 1.4641 \]

5. **Substitute back into the accumulated value formula:**
\[ A = 23,400 \times 1.4641 \]

6. **Perform the multiplication:**
\[ A = 34,259.94 \]

### Final Answer:
The accumulated value after 4 years would be Rs. 34,259.94.

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