Question 1193410
**1. Calculate the Present Value of Each Obligation at the End of 2 Years**

* **Obligation a: 55,000 at the end of 4 years**
    * Time to maturity from the end of 2 years: 4 - 2 = 2 years
    * Present Value (PV_a) = 55,000 / (1 + 0.15/12)^(2*12) 

* **Obligation b: 48,000 at the end of 5 years**
    * Time to maturity from the end of 2 years: 5 - 2 = 3 years
    * Present Value (PV_b) = 48,000 / (1 + 0.15/12)^(3*12)

* **Obligation c: 75,000 due in 3 years from today at 9% converted quarterly**
    * Time to maturity from today: 3 years
    * Time to maturity from the end of 2 years: 3 - 2 = 1 year
    * Effective annual rate for quarterly compounding: (1 + 0.09/4)^4 - 1 = 0.093083
    * Present Value (PV_c) = 75,000 / (1 + 0.093083)^1 * (1 + 0.15/12)^(-12) 

**2. Calculate the Total Present Value of All Obligations at the End of 2 Years**

* Total Present Value = PV_a + PV_b + PV_c

**3. Determine the Single Payment at the End of 2 Years**

* The single payment at the end of 2 years to settle all obligations is equal to the total present value of all obligations at that time.

**Using Python:**

```python
import numpy as np

# Calculate the present value of each obligation at the end of 2 years

# Obligation a: 55,000 at the end of 4 years
# Time to maturity from the end of 2 years: 4 - 2 = 2 years
pv_a = 55000 / (1 + 0.15/12)**(2*12) 

# Obligation b: 48,000 at the end of 5 years
# Time to maturity from the end of 2 years: 5 - 2 = 3 years
pv_b = 48000 / (1 + 0.15/12)**(3*12)

# Obligation c: 75,000 due in 3 years from today at 9% converted quarterly
# Time to maturity from today: 3 years
# Time to maturity from the end of 2 years: 3 - 2 = 1 year
# Effective annual rate for quarterly compounding: (1 + 0.09/4)**4 - 1 = 0.093083
pv_c = 75000 / (1 + 0.093083)**1 * (1 + 0.15/12)**(-12) 

# Total present value of all obligations at the end of 2 years
total_pv = pv_a + pv_b + pv_c

print(f"Single payment at the end of 2 years to settle Julita's obligations: {total_pv:.2f}") 
```

**Result:**

The single payment at the end of 2 years to settle Julita's obligations is approximately **130,623.40**.