Question 1179711
Here's how to calculate the quarterly payment for the loan:

**1. Given Information:**

* Principal (P): $5,000,000
* Annual interest rate (r): 7% or 0.07
* Loan term (t): 30 years
* Compounding periods per year (n): 4 (quarterly)

**2. Calculate the Quarterly Interest Rate (i):**

* i = r / n = 0.07 / 4 = 0.0175

**3. Calculate the Total Number of Payments (N):**

* N = n * t = 4 * 30 = 120

**4. Use the Loan Payment Formula:**

PMT = P * [i * (1 + i)^N] / [(1 + i)^N - 1]

Where:

* PMT = periodic payment
* P = principal
* i = interest rate per period
* N = total number of payments

**5. Plug in the Values:**

PMT = 5000000 * [0.0175 * (1 + 0.0175)^120] / [(1 + 0.0175)^120 - 1]

PMT = 5000000 * [0.0175 * (1.0175)^120] / [(1.0175)^120 - 1]

**6. Calculate (1.0175)^120:**

(1.0175)^120 ≈ 7.612255

**7. Substitute and Solve:**

PMT = 5000000 * [0.0175 * 7.612255] / [7.612255 - 1]
PMT = 5000000 * [0.1332144625] / [6.612255]
PMT = 5000000 * 0.0201465
PMT = 100732.5

**Answer:**

The quarterly payment (PMT) is approximately $100,732.50.