Amortization and Interest Math on the NJ Real Estate Exam

    The short answer: On the New Jersey salesperson exam, amortization questions ask you to split a mortgage payment into interest and principal for a given month. Monthly interest is the current balance times the annual rate divided by 12. Subtract that interest from the payment to find principal reduction; subtract the principal from the balance for the new loan amount. Financing is 10% of the general outline, and the outline expressly lists amortized, partially amortized (balloon) and interest-only loans (PSI Candidate Information Bulletin, updated 2/1/2026).

    This page drills the month-by-month math. Closing-cost and PITI setups stay on real estate math for the NJ exam. Loan types and lending laws are covered in financing on the NJ exam.

    What does "amortization" mean on the exam?

    Amortization means paying off a loan with regular payments so the amount owed goes down over time. Each scheduled payment covers that month's interest first; anything left reduces principal. The Consumer Financial Protection Bureau describes amortization that way and contrasts it with negative amortization, where the payment is too small to cover interest and the balance rises (CFPB Ask CFPB).

    Exam writers almost always give you a starting principal, an annual interest rate and a fixed monthly principal-and-interest (P&I) payment. Taxes and insurance are not part of the amortization split unless the question mixes in PITI.

    How do you calculate the first month's interest and principal?

    Use this sequence:

    1. Monthly interest = loan balance × annual rate ÷ 12
    2. Principal reduction = monthly P&I payment − monthly interest
    3. New balance = old balance − principal reduction

    Worked example (made-up exam figures):
    Loan balance $240,000 · annual rate 6% · monthly P&I $1,438.92

    • Monthly interest = $240,000 × 0.06 ÷ 12 = $1,200.00
    • Principal reduction = $1,438.92 − $1,200.00 = $238.92
    • New balance = $240,000 − $238.92 = $239,761.08

    Second-month interest would use $239,761.08 × 0.06 ÷ 12—not the original $240,000. That declining-interest pattern is the heart of a fully amortized loan.

    How do amortized, balloon and interest-only loans differ?

    PSI groups them under Financing → Types of Loans (PSI bulletin):

    Loan typeWhat the payment doesExam trap
    Fully amortizedOver the full term, payments retire interest and all principalEarly payments are mostly interest
    Partially amortized (balloon)Regular payments based on a long amortization schedule, but a large balloon principal is due earlierDo not assume the loan is paid off when the payment stream ends
    Interest-only (for a period)Payment covers interest only; principal stays the same during that phaseThere is no principal reduction until amortization begins

    Negative amortization is the risky cousin: unpaid interest is added to principal, so the balance grows (CFPB).

    How is this different from PITI math?

    PITI estimates the full housing payment: Principal & Interest + Taxes/12 + Insurance/12. That skill is listed under Real Estate Calculations on the PSI outline and is taught on our exam math page.

    Amortization questions zoom in on the P&I line only. If a stem gives annual taxes or insurance, ask whether the question wants PITI or the interest/principal split. Mixing them is a common miss.

    What shortcuts keep you from losing easy points?

    • Convert the annual rate to a decimal before dividing by 12 (6% → 0.06)
    • Use the current balance for each month's interest
    • If the payment is smaller than that month's interest, the loan is not amortizing that month (interest-only or negative amortization territory)
    • Round only when the question tells you how; many stems use clean numbers
    • Scratch paper is allowed at PSI centers; remote rules differ—check the current bulletin

    For outline pacing, pair this page with the PSI content-outline study checklist and how to use practice exams. Area and acreage setups are on a separate drill: area and acreage math.

    Timed practice helps more than rereading formulas. Business Elementary's practice exams can surface weak spots; if you still need the pre-licensing hours, see the 75-hour course.

    How should you practice amortization questions?

    Work three patterns until they feel automatic:

    1. First-month split from balance, rate and payment
    2. Second-month interest using the reduced balance
    3. Identify the loan type from a short description (fully amortized vs balloon vs interest-only)

    Then mix them with the financing definitions on financing for the NJ exam and the formula sheet on exam math. If a practice stem mentions "points" or LTV, that is usually a different calculation—not amortization—even though it sits in the same Financing bucket on the outline (PSI bulletin).

    Sources

    Last reviewed: November 6, 2026

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