Present Value Annuity A3Bbfc
1. **Problem statement:** Calculate the present value of an annuity that pays 350,000 per year for 5 years.
2. **Formula:** The present value of an annuity is given by
$$PV = P \times \frac{1 - (1 + r)^{-n}}{r}$$
where $P$ is the payment per period, $r$ is the discount rate per period, and $n$ is the number of periods.
3. **Important notes:**
- The discount rate $r$ must be known or assumed to calculate the present value.
- Payments are assumed to be at the end of each period.
4. **Intermediate work:**
- Given $P = 350000$, $n = 5$, and assuming a discount rate $r$ (for example, 5% or 0.05), substitute values:
$$PV = 350000 \times \frac{1 - (1 + 0.05)^{-5}}{0.05}$$
- Calculate $(1 + 0.05)^{-5} = 1.05^{-5} \approx 0.7835$
- Then,
$$PV = 350000 \times \frac{1 - 0.7835}{0.05} = 350000 \times \frac{0.2165}{0.05} = 350000 \times 4.33 = 1,515,500$$
5. **Explanation:** This means the value today of receiving 350,000 each year for 5 years, discounted at 5%, is approximately 1,515,500.
**Note:** If you provide a specific discount rate, I can calculate the exact present value.