Inflation Adjusted Salary
1. **State the problem:** We want to find the equivalent annual salary today that would have the same value as $249,000 received in 30 years, considering an annual inflation rate of 3% compounded yearly.
2. **Understand the concept:** Due to inflation, money in the future is worth less today. To find the present value (PV) of a future amount (FV), we use the formula:
$$PV = \frac{FV}{(1 + r)^n}$$
where:
- $FV = 249000$
- $r = 0.03$ (3% inflation rate)
- $n = 30$ years
3. **Calculate the present value:**
$$PV = \frac{249000}{(1 + 0.03)^{30}} = \frac{249000}{(1.03)^{30}}$$
Calculate $(1.03)^{30}$:
$$ (1.03)^{30} \approx 2.42726 $$
So,
$$PV = \frac{249000}{2.42726} \approx 102600.68$$
4. **Interpretation:** The comparable annual salary today, accounting for 3% annual inflation over 30 years, is approximately $102,601.
**Final answer:**
$$\boxed{102601}$$