Present Value Comparison
1. **State the problem:** We need to compare the present values of two payment options using a discount rate of 11.5% per year.
2. **Formula for Present Value (PV):**
$$PV = \frac{FV}{(1 + r)^t}$$
where $FV$ is the future value, $r$ is the discount rate, and $t$ is the time in years.
3. **Calculate PV for Option A:**
- Payment today: Rs. 550000 (no discount since $t=0$)
- Payment in 2 years: Rs. 600000
$$PV_{A2} = \frac{600000}{(1 + 0.115)^2} = \frac{600000}{1.115^2} = \frac{600000}{1.243225} \approx 482438.68$$
Total PV for Option A:
$$PV_A = 550000 + 482438.68 = 1032438.68$$
4. **Calculate PV for Option B:**
- Payment today: Rs. 300000
- Payment in 1 year: Rs. 850000
$$PV_{B1} = \frac{850000}{1.115} \approx 762331.84$$
Total PV for Option B:
$$PV_B = 300000 + 762331.84 = 1062331.84$$
5. **Compare the two options:**
$$Difference = PV_B - PV_A = 1062331.84 - 1032438.68 = 29893.16$$
6. **Conclusion:** Option B has a higher present value by approximately Rs. 29893.16.
This means Option B is financially better when considering the time value of money at an 11.5% discount rate.