1. **State the problem:** We need to find the nominal interest rate $i$ given the inflation rate $\pi = 4.57\% = 0.0457$ and the real interest rate $r = 3.28\% = 0.0328$.
2. **Formula used:** The Fisher equation relates nominal interest rate $i$, real interest rate $r$, and inflation rate $\pi$ as:
$$1 + i = (1 + r)(1 + \pi)$$
This formula accounts for the effect of inflation on the real return of an investment.
3. **Calculate nominal interest rate:** Substitute the values:
$$1 + i = (1 + 0.0328)(1 + 0.0457)$$
$$1 + i = 1.0328 \times 1.0457$$
$$1 + i = 1.08094996$$
4. **Solve for $i$:**
$$i = 1.08094996 - 1$$
$$i = 0.08094996$$
5. **Convert to percentage:**
$$i = 0.08094996 \times 100 = 8.094996\%$$
6. **Round to two decimal places:**
$$i \approx 8.09\%$$
**Final answer:** The nominal interest rate needed is **8.09\%**.
Nominal Interest 45B195
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