1. **Problem statement:** Quennie Company borrowed 500000 for 120 days at an annual interest rate of 6%, assuming a 360-day year. We need to find the total interest expense and the effective annual rate.
2. **Formula for simple interest:**
$$I = P \times r \times t$$
where $I$ is interest, $P$ is principal, $r$ is annual interest rate (in decimal), and $t$ is time in years.
3. **Calculate time in years:**
$$t = \frac{120}{360} = \frac{1}{3}$$
4. **Calculate total interest expense:**
$$I = 500000 \times 0.06 \times \frac{1}{3}$$
$$I = 500000 \times 0.02 = 10000$$
5. **Effective annual rate (EAR) formula:**
$$EAR = \left(1 + \frac{r \times t}{1}\right)^{\frac{1}{t}} - 1$$
6. **Calculate EAR:**
$$EAR = \left(1 + 0.06 \times \frac{1}{3}\right)^{3} - 1$$
$$EAR = \left(1 + 0.02\right)^{3} - 1 = 1.061208 - 1 = 0.061208$$
7. **Convert EAR to percentage:**
$$EAR = 6.12\%$$
**Final answers:**
- Total interest expense = 10000
- Effective annual rate = 6.12%
Loan Interest Affa98
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