A $50,000 loan is to be amortized over 7 years, with annual end-of-year payments.

To calculate the annual end-of-year payments for a loan, you can use the formula for amortization, known as the amortization formula. The formula for calculating the annual payment amount is as follows:

Payment = Loan Amount / Present Value Factor

Where:
Loan Amount = $50,000 (the total loan amount)
Present Value Factor = 1 - (1 + Interest Rate)^(-n)

In this case, we need to amortize the loan over 7 years, which means n = 7. We also need to know the interest rate to calculate the Present Value Factor. Assuming we have an interest rate of 5%, let's calculate the annual payment amount:

First, calculate the Present Value Factor:
Present Value Factor = 1 - (1 + 0.05)^(-7) = 1 - (1.05)^-7

Next, calculate the payment amount:
Payment = $50,000 / Present Value Factor

By plugging in the values, we can now calculate the payment amount.