Updated April 2026

Mastering Loan-to-Value and Down Payment Calculations for the Arkansas Real Estate Exam

Last updated: April 2026

Real estate math is often the most intimidating section for aspiring licensees taking the Arkansas Real Estate Commission (AREC) exam. However, mastering fundamental financing formulas is non-negotiable for anyone looking to guide buyers and sellers effectively. Among the most critical concepts you will encounter are Loan-to-Value (LTV) ratios and down payment calculations. Whether you are taking the salesperson or broker exam, you must know how to accurately compute these figures to pass and eventually succeed in your career. For a broader overview of the testing process, be sure to review our Complete Arkansas Exam Guide.

In this guide, we will break down the formulas, explore the crucial "lesser of" rule, look at Arkansas-specific loan applications, and walk through practical scenarios exactly like the ones you will see on test day.

Understanding Loan-to-Value (LTV) Ratios

The Loan-to-Value (LTV) ratio is a financial metric used by lenders to assess the risk of a mortgage loan. It represents the percentage of the property's value that is being financed. A higher LTV means the lender is taking on more risk, which is why loans with an LTV over 80% typically require Private Mortgage Insurance (PMI) or a government guarantee.

The Core LTV Formula

To calculate the LTV, you divide the loan amount by the property's value, then multiply by 100 to get a percentage:

  • LTV = (Loan Amount ÷ Property Value) × 100

Conversely, if you know the property value and the maximum LTV allowed by the lender, you can calculate the maximum loan amount:

  • Maximum Loan Amount = Property Value × LTV Percentage

The Critical "Lesser Of" Rule

If there is one trap examiners love to set on the Arkansas real estate exam, it is the distinction between the purchase price and the appraised value. Lenders will always base the LTV on the purchase price or the appraised value—whichever is less.

If a buyer agrees to purchase a home in Little Rock for $250,000, but the property only appraises for $240,000, the lender will use the $240,000 figure to calculate the maximum loan amount. The buyer is responsible for making up the difference in cash if the seller refuses to lower the price.

Calculating Down Payments

The down payment is the portion of the purchase price that the buyer pays upfront in cash. It is inversely related to the LTV. If a lender approves an 80% LTV loan, the required down payment is 20%.

The Down Payment Formula

  • Down Payment = Purchase Price - Loan Amount
  • Down Payment = Purchase Price × Down Payment Percentage

Factoring in Earnest Money

It is important to remember that the down payment is the total cash required from the buyer toward the purchase price. The earnest money deposit—which the buyer submits alongside their initial offer—is credited toward this total down payment at closing. Handling these funds requires strict adherence to AREC Regulation 10. To understand the legal compliance side of these deposits, read our guide on Arkansas earnest money and escrow.

Common Loan Types and LTV Limits in Arkansas

When taking the Arkansas real estate exam, you should be familiar with the standard LTV limits associated with different types of financing. Because Arkansas has a large amount of eligible rural territory, USDA loans are particularly relevant in our state compared to highly urbanized states.

  • Conventional Loans: Typically require a 20% down payment (80% LTV) to avoid PMI. However, first-time buyer programs can push LTV to 97% (3% down).
  • FHA Loans: Backed by the Federal Housing Administration, these allow a maximum LTV of 96.5% (requiring a 3.5% down payment).
  • VA Loans: Available to eligible veterans and active-duty military, allowing up to 100% LTV (zero down payment).
  • USDA (Rural Development) Loans: Highly popular in Arkansas outside of major city limits (like rural areas of Washington, Benton, and Saline counties). These also allow 100% LTV (zero down payment).

Maximum LTV Ratios by Loan Type

Step-by-Step Arkansas Exam Scenarios

Let's apply these formulas to the types of word problems you will face on the Pearson VUE exam.

Scenario 1: Basic LTV and Down Payment

Question: A buyer is purchasing a home in Fayetteville for $300,000. The property appraises for $305,000. The buyer is securing a conventional loan with an 80% LTV. What is the required down payment?

Step 1: Determine the value used by the lender. The lender uses the lesser of the purchase price ($300,000) or appraised value ($305,000). We use $300,000.
Step 2: Calculate the loan amount. $300,000 × 0.80 = $240,000.
Step 3: Calculate the down payment. $300,000 - $240,000 = $60,000.
Answer: The required down payment is $60,000.

Scenario 2: The Appraisal Shortfall

Question: A buyer agrees to buy a property in Jonesboro for $200,000 and applies for an FHA loan (96.5% LTV). The property appraises for $190,000. If the seller refuses to drop the price, how much total cash must the buyer bring to closing for the down payment and appraisal gap?

Step 1: Determine the lender's value. The lesser of $200,000 or $190,000 is $190,000.
Step 2: Calculate the maximum loan amount. $190,000 × 0.965 = $183,350.
Step 3: Calculate the total cash needed. Purchase Price ($200,000) - Loan Amount ($183,350) = $16,650.
Answer: The buyer must bring $16,650 to closing.

Professional Responsibilities for Arkansas Agents

While you must understand these calculations to pass the exam and assist clients, it is vital to remember your scope of practice under Arkansas law. Real estate agents are not licensed mortgage loan originators (MLOs). You can estimate down payments and explain LTV concepts, but you must never guarantee loan approval or lock in interest rates.

Understanding the boundaries of your role is a heavily tested concept. For more details on what you can and cannot do, review our article on Arkansas broker vs. agent responsibilities. Furthermore, keeping up with changes in lending laws, such as FHA limit increases in Arkansas counties, is an important part of your ongoing career, which you will cover in your continuing education requirements.

Frequently Asked Questions

1. How does an appraisal below the purchase price affect the LTV?

Lenders calculate LTV based on the "lesser of" the purchase price or the appraised value. If the appraisal comes in low, the lender bases the loan on the lower appraised value. This means the buyer's maximum loan amount decreases, requiring them to bring more cash to closing to cover the gap, or renegotiate the purchase price with the seller.

2. Will I be allowed to use a calculator for LTV math on the Arkansas exam?

Yes. Pearson VUE, the testing provider for the Arkansas Real Estate Commission, allows candidates to use a basic, silent, non-scientific, non-programmable calculator. Smartphones and smartwatches are strictly prohibited in the testing room.

3. Are USDA loans common in Arkansas, and what is their LTV?

Yes, USDA (Rural Development) loans are very common in Arkansas due to the state's large rural footprint. Many areas just outside major cities like Little Rock, Rogers, and Fort Smith qualify. USDA loans offer a 100% LTV, meaning buyers can purchase a home with a 0% down payment.

4. How does earnest money impact the final down payment at closing?

Earnest money is essentially an upfront deposit that proves the buyer's good faith. At closing, the earnest money held in the broker's or title company's trust account is credited back to the buyer and applied directly toward their required down payment and closing costs.

5. Does the Arkansas Real Estate Commission allow agents to negotiate loan terms?

No. Unless you hold a dual license as a Mortgage Loan Originator (MLO), negotiating loan terms, interest rates, or specific LTV requirements on behalf of a client is outside your scope of practice. You should always refer clients to a licensed mortgage professional for specific loan term negotiations.

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