Prorations formula

Annual Expense Proration Formula

seller's share = (annual amount ÷ 12) × months owned

Annual Expense Proration

seller's share = (annual amount ÷ 12) × months owned
  • annual amount — The full-year cost being prorated, e.g. property tax
  • months owned — Number of months the seller owned the property that year

Worked example: Annual property tax is $3,600. Seller owned the home for 5 months before closing.

  1. $3,600 ÷ 12 = $300 per month
  2. $300 × 5 = $1,500

$1,500 seller's share, credited to the buyer

Annual Expense Proration practice questions

Every Freehold question shows why the right answer is right — and cites its source.

A $150,000 interest-only loan carries a 6% annual interest rate. What is the monthly interest payment?

  1. $625
  2. $700
  3. $750
  4. $900
Show answer & explanation

$750 — Annual interest is $150,000 × 0.06 = $9,000. Dividing by 12 months gives a monthly interest payment of $750.

Source: PSI National Real Estate Exam Content Outline §11 Real Estate Calculations

Annual property taxes of $2,400 are paid in arrears. If closing occurs exactly at the end of June, what is the seller's share for the six months of ownership?

  1. $1,200
  2. $1,000
  3. $1,400
  4. $2,400
Show answer & explanation

$1,200 — Monthly taxes are $2,400 ÷ 12 = $200. The seller owned the property for six months, so the seller's prorated share is $200 × 6 = $1,200, credited to the buyer at closing.

Source: PSI National Real Estate Exam Content Outline §11 Real Estate Calculations

Annual property taxes of $3,600 are paid in arrears. If closing occurs exactly at the end of April, what is the seller's prorated share for the four months of ownership?

  1. $3,600
  2. $1,200
  3. $300
  4. $2,400
Show answer & explanation

$1,200 — Monthly tax is $3,600 ÷ 12 = $300. The seller owned the home for four months, so the seller's share is $300 × 4 = $1,200.

Source: PSI National Real Estate Exam Content Outline §11 Real Estate Calculations

All 14 formulas in one place: Real estate math reference

Practice math with instant step-by-step feedback

Every question sourced and explained. Guided Study Path, on-device coach, real exam settings for your state. No ads, no subscriptions, ever.

Get Freehold free
Freehold is an independent study resource and is not affiliated with, endorsed by, or sponsored by PSI, Pearson VUE, or any state real estate licensing board or commission. Freehold does not guarantee passage of any licensing exam.