Commission and Financing Costs
This section covers how commissions and loan costs are calculated. These are straightforward formulas, but the exam often tests them with word problems.
Commission Calculations
Commission is usually a percentage of the sales price.
Formula:
Commission = Sales Price x Commission Rate
Example:
Sales price = $350,000 Commission rate = 6 percent
Commission = $350,000 x 0.06 = $21,000
Commission Split Example
If the commission is $21,000 and the broker and agent split 70/30:
- Agent receives $14,700
- Broker keeps $6,300
Interest Basics
Many exam questions use simple interest.
Simple Interest = Principal x Rate x Time
Example:
$200,000 loan at 5 percent for 1 year:
Interest = $200,000 x 0.05 x 1 = $10,000
Discount Points
Points are prepaid interest. One point = 1 percent of the loan amount.
Example:
Loan amount = $250,000 Points = 2
Cost = $250,000 x 0.02 = $5,000
Points increase upfront cost but reduce the interest rate.
Loan-to-Value (LTV)
LTV = Loan Amount / Property Value
Example:
Loan amount = $240,000 Value = $300,000
LTV = 80 percent
Amortization Basics
Amortized loans allocate more interest in early payments and more principal in later payments. This is why early loan payoff savings can be significant.
Loan Costs and Fees
Common financing costs include:
- Origination fees
- Discount points
- Appraisal fees
- Credit report fees
Table: Common Financing Calculations
| Calculation | Formula | Example |
|---|---|---|
| Commission | Sales price x rate | $400,000 x 0.05 = $20,000 |
| Points cost | Loan amount x points | $300,000 x 0.02 = $6,000 |
| LTV | Loan amount / value | $240,000 / $300,000 = 80 percent |
| Simple interest | Principal x rate x time | $200,000 x 0.05 x 1 |
These costs are reflected on the Closing Disclosure.
Example: Loan Interest and Points
Loan amount = $200,000 Rate = 6 percent Time = 1 year Interest = $200,000 x 0.06 x 1 = $12,000
Points example: 2 points on $200,000 = $4,000
Exam Application Check
- To find commission, multiply price by rate.
- To find points cost, multiply loan amount by the points.
- To calculate LTV, divide loan amount by value.
- Points are prepaid interest that reduce the rate but increase upfront cost.
Commission Splits and Broker Payouts
A typical transaction may split commission between the listing and buyer broker. Then each broker may split with their agent based on the brokerage agreement.
Example:
- Total commission: $18,000
- Listing side: $9,000, buyer side: $9,000
- Agent split 70/30
Listing agent receives $6,300 and the broker keeps $2,700. This is a common exam-style calculation.
Net Listings Reminder
Net listings can create conflicts of interest because the broker keeps any amount above the net price. They are illegal in some states and should be avoided in practice.
Exam Application Check
If a question asks how commission is divided, identify the total commission first, then apply each split.
Financing Cost Terms
Common loan cost terms include:
- Origination fee - Lender charge to process the loan
- Discount points - Prepaid interest to lower the rate
- Prepayment penalty - Fee for paying off early
- Amortization - Gradual reduction of loan balance
Amortization Example
A 30-year fixed loan has the same payment each month, but interest dominates early payments. Over time, the principal portion grows. This is why early extra payments reduce the total interest paid.
Exam Application Check
If a question asks which cost is prepaid interest, the answer is points. If it asks which fee penalizes early payoff, the answer is a prepayment penalty.
APR vs. Interest Rate
The interest rate is the cost of borrowing on the loan balance. The APR includes the interest rate plus certain fees and points, which is why APR is often higher than the stated rate. This helps borrowers compare loans with different fee structures.
Prepayment and Balloon Loans
A prepayment penalty discourages early payoff. A balloon loan has a large final payment at the end of the term. These features affect total cost and are tested on exams.
Exam Application Check
If a question asks which number includes fees and points, the answer is APR. If it asks which loan has a large final payment, the answer is a balloon loan.
Mortgage Insurance and Cash to Close
Private mortgage insurance (PMI) - Insurance that protects the lender when the borrower has a high LTV, often above 80 percent. Lender credit - A credit from the lender that offsets closing costs in exchange for a higher interest rate.
PMI adds to the monthly payment, so exam questions may test whether it is required based on LTV. A lender credit lowers the cash needed at closing but increases the long-term cost through a higher rate.
Cash to Close Formula
Cash to close = Down payment + closing costs + prepaid items - credits
Example:
Price = $300,000 Down payment = 20 percent = $60,000 Closing costs = $9,000 Prepaids = $2,000 Seller credit = $5,000
Cash to close = $60,000 + $9,000 + $2,000 - $5,000 = $66,000
Exam Application Check
If LTV is 90 percent, PMI is likely required. If a question asks for cash to close, subtract credits from the total.
Commission on Leases and Management
Some brokerages earn fees for property management or leasing. A common structure is one month of rent for a new lease plus a monthly management fee. The exam may present a simple percentage calculation similar to sales commission.
Example:
Monthly rent = $2,000 Leasing fee = 50 percent of one month Fee = $1,000
Exam Application Check
If a question asks for a management fee based on rent, multiply monthly rent by the fee percentage.
A 5 percent commission on a $400,000 sale equals:
One point on a $300,000 loan equals:
LTV is calculated as:
Simple interest is calculated as:
8.3 Settlement and Investment Math
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