Questions: FIN310 Graded Project: Corporate Finance First, you'll need to create a loan amortization schedule in the downloaded Excel spreadsheet. Create the table on the tab named "Part 2 Loan Amortization Sched." The following table illustrates the payments and interest amounts for a fixed-rate, 30-year, 500,000 mortgage, at a five-percent interest rate. The monthly payment will be 2,684.11. Payment Number Payment Amount 5% Interest Expense Principal Balance Annual Interest Expense --- --- --- --- --- --- 0 500,000.00

FIN310 Graded Project: Corporate Finance

First, you'll need to create a loan amortization schedule in the downloaded Excel spreadsheet. Create the table on the tab named "Part 2 Loan Amortization Sched." The following table illustrates the payments and interest amounts for a fixed-rate, 30-year, 500,000 mortgage, at a five-percent interest rate. The monthly payment will be 2,684.11.

Payment Number  Payment Amount  5% Interest Expense  Principal  Balance  Annual Interest Expense
---  ---  ---  ---  ---  ---
0     500,000.00
Transcript text: FIN310 Graded Project: Corporate Finance First, you'll need to create a loan amortization schedule in the downloaded Excel spreadsheet. Create the table on the tab named "Part 2 Loan Amortization Sched." The following table illustrates the payments and interest amounts for a fixed-rate, 30-year, $\$ 500,000$ mortgage, at a five-percent interest rate. The monthly payment will be $\$ 2,684.11$. \begin{tabular}{|c|c|c|c|c|c|} \hline \begin{tabular}{c} Payment \\ Number \end{tabular} & \begin{tabular}{c} Payment \\ Amount \end{tabular} & \begin{tabular}{c} 5\% Interest \\ Expense \end{tabular} & Principal & Balance & \begin{tabular}{c} Annual \\ Interest \\ Expense \end{tabular} \\ \hline 0 & & & & $500,000.00$ & \\ \hline & & & & \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Calculate Monthly Interest Expense for the First Payment

The monthly interest expense is calculated using the formula: \[ \text{Interest Expense} = \text{Principal Balance} \times \left(\frac{\text{Annual Interest Rate}}{12}\right) \] For the first payment: \[ \text{Interest Expense} = 500,000 \times \left(\frac{0.05}{12}\right) = 500,000 \times 0.0041667 = 2083.33 \]

Step 2: Calculate Principal Payment for the First Payment

The principal payment is the difference between the total monthly payment and the interest expense: \[ \text{Principal Payment} = \text{Monthly Payment} - \text{Interest Expense} \] For the first payment: \[ \text{Principal Payment} = 2684.11 - 2083.33 = 600.78 \]

Step 3: Calculate New Balance After the First Payment

The new balance is calculated by subtracting the principal payment from the current balance: \[ \text{New Balance} = \text{Current Balance} - \text{Principal Payment} \] For the first payment: \[ \text{New Balance} = 500,000 - 600.78 = 499,399.22 \]

Final Answer

\[ \boxed{ \begin{array}{|c|c|c|c|c|c|} \hline \text{Payment Number} & \text{Payment Amount} & \text{5\% Interest Expense} & \text{Principal} & \text{Balance} & \text{Annual Interest Expense} \\ \hline 0 & & & & 500,000.00 & \\ \hline 1 & 2684.11 & 2083.33 & 600.78 & 499,399.22 & \\ \hline \end{array} } \]

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