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Sales ComparisonMEDIUM16.4% of exam

A seller’s loan to the buyer carries an interest rate below the market rate. Which technique estimates the cash equivalent adjustment?

Correct Answer

C) Discounting the loan payments at the market interest rate

An adjustment for non-market financing can be estimated by discounting the periodic payments of the non-market loan at the market interest rate into a cash equivalent present value.

Answer Options
A
Multiplying the loan balance by the difference in rates once
B
Subtracting the loan’s face amount from the sale price
C
Discounting the loan payments at the market interest rate
D
Averaging the contract rate with the market rate

Why This Is the Correct Answer

Option C is correct because the cash-equivalent adjustment for non-market financing is estimated by discounting the periodic payments of the non-market loan at the market interest rate. The result is the loan's cash-equivalent present value. Comparing that value with the loan's face amount shows how much the financing affected the price.

Why the Other Options Are Wrong

Option A: Multiplying the loan balance by the difference in rates once

Option A, multiplying the loan balance by the difference in rates once, is wrong because it captures only one year's interest difference. The benefit of below-market financing extends over the loan's payment stream, which is why the payments are discounted.

Option B: Subtracting the loan’s face amount from the sale price

Option B, subtracting the loan's face amount from the sale price, is wrong because the loan is part of the consideration and still has substantial value. Only the difference between its face amount and its cash-equivalent value is the financing effect.

Option D: Averaging the contract rate with the market rate

Option D, averaging the contract rate with the market rate, is wrong because an average rate has no basis in how the market prices the loan. The loan's payments should be discounted at the market rate.

Discount at market

Take the cheap loan's payments and discount them at the market rate to find what the note is really worth in cash.

How to use: Use this whenever a comparable sale includes seller financing below market rates.

Exam Tip

For below-market financing questions, look for present-value discounting at the market rate rather than simple rate arithmetic.

Common Mistakes to Avoid

  • -Subtracting the full loan amount from the price
  • -Using a single year's interest difference as the adjustment
  • -Discounting at the contract rate instead of the market rate

Concept Deep Dive

Analysis

This question tests the technique for adjusting a sale with below-market seller financing. The seller's loan made the deal more attractive, so the recorded price may exceed a cash-equivalent price. The adjustment is found by discounting the loan's payments at the market interest rate to a present value.

Background Knowledge

Cash equivalency converts a sale with non-market terms into the price a typical cash or market-financed buyer would pay. With a below-market seller loan, the buyer receives a financial benefit that may raise the price. Discounting the loan payments at the market rate measures that benefit.

Real-World Application

A comparable sold with the seller carrying a loan well below current market rates. The appraiser discounts the loan's monthly payments at the market rate and finds the note is worth less than its face amount in cash. The comparable's price is reduced by that difference to reach a cash-equivalent price.

cash equivalencyseller financingbelow-market ratepresent valuediscounting
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