Difficulty: Intermediate | Prerequisites: Time value of money, present value of ordinary annuity, basic journal entries for long-term liabilities
This set of notes covers two related but distinct topics. Installment notes are long-term liabilities repaid through equal periodic payments that blend interest and principal, much like a car loan or mortgage. Early extinguishment of bonds deals with what happens when a company retires its bonds before maturity, either by calling them at a specified price or buying them back on the open market. Both topics build on the present value and amortisation skills from the bond issuance notes, and both show up on intermediate accounting exams.
An installment note is repaid in equal payments that cover both interest and principal. Each payment's interest portion is calculated on the declining balance, so interest shrinks and principal grows over time. Early extinguishment of bonds means retiring them before maturity; the difference between the cash paid and the carrying amount produces a gain or loss on the income statement.
Installment note
A long-term liability repaid through a series of equal periodic payments, each containing both interest and principal. Think of it as the accounting version of a car loan: same payment every period, but the split between interest and principal shifts over time.
Annuity payment
The fixed periodic amount the borrower pays. Calculated by dividing the loan amount by the present value of an ordinary annuity factor.
Principal reduction
The portion of each payment that reduces the outstanding loan balance. It equals the total payment minus the interest portion for that period.
Notes payable / notes receivable
The liability account on the borrower's books and the asset account on the lender's books for the same note.
Call price
The price at which the issuer can redeem bonds before maturity, often expressed as a percentage of face value (e.g. 102% means the issuer pays $102 for every $100 of face value).
Loss on early extinguishment
Recognised when the cash paid to retire bonds exceeds the carrying amount. In simple terms, the company paid more to get out of the debt than what the books said it owed.
Gain on early extinguishment
Recognised when the cash paid is less than the carrying amount. The company settled its debt for less than book value.
Worked example (Matrix, Inc.): $50,000 note at 9% interest, 4-year term, annual payments.
PVA(4, 9%) = 3.23972
Annual payment = $50,000 / 3.23972 = $15,433
Every payment is the same $15,433, but the interest-to-principal split changes each year.
Date | Cash Payment | Interest (9%) | Principal Reduction | Outstanding Balance |
|---|---|---|---|---|
1/1/2019 | $50,000 | |||
12/31/2019 | $15,433 | $4,500 | $10,933 | $39,067 |
12/31/2020 | $15,433 | $3,516 | $11,917 | $27,150 |
12/31/2021 | $15,433 | $2,444 | $12,989 | $14,161 |
12/31/2022 | $15,433 | $1,272 | $14,161 | $0 |
Interest declines each year because the outstanding balance shrinks. The principal portion absorbs the rest of the fixed payment.
At issuance, 1/1/2019:
Debit Truck $50,000
Credit Notes Payable $50,000
First payment, 12/31/2019:
Debit Interest Expense $4,500
Debit Notes Payable $10,933
Credit Cash $15,433
At issuance, 1/1/2019:
Debit Notes Receivable $50,000
Credit Sales Revenue $50,000
First payment received, 12/31/2019:
Debit Cash $15,433
Credit Interest Revenue $4,500
Credit Notes Receivable $10,933
The borrower and lender entries mirror each other: one side's expense is the other's revenue, and one side's payable reduction is the other's receivable reduction.
When a company calls or buys back its bonds before maturity, it removes the bond liability from its books and recognises any difference between the cash paid and the carrying amount as a gain or loss.
Indian River Electronics calls its $90 million bonds on 1 January 2020. Remaining unamortised discount = $3 million. Call price = 102% of face value.
Carrying amount = $90,000,000 – $3,000,000 = $87,000,000
Cash paid = $90,000,000 x 102% = $91,800,000
Loss = $91,800,000 – $87,000,000 = $4,800,000
Journal entry:
Debit Bonds Payable $90,000,000
Debit Loss on Early Extinguishment $4,800,000
Credit Discount on Bonds Payable $3,000,000
Credit Cash $91,800,000
The entry removes both Bonds Payable at face value and the remaining Discount. The loss captures the full cost of retiring the debt early: the call premium ($1,800,000) plus the unamortised discount ($3,000,000).
\text{Annuity Payment} = \frac{\text{Loan Amount}}{\text{PVA}(n, r)}\text{Interest Portion} = \text{Outstanding Balance}_{\text{beg}} \times r\text{Principal Reduction} = \text{Cash Payment} - \text{Interest Portion}For early extinguishment:
\text{Cash Paid at Redemption} = \text{Face Value} \times \text{Call Price \%}\text{Carrying Amount} = \text{Face Value} - \text{Unamortised Discount} \quad (\text{or} + \text{Unamortised Premium})\text{Gain or Loss} = \text{Cash Paid} - \text{Carrying Amount}Positive = loss; negative = gain.
Installment notes are the structure behind most car loans, equipment financing, and small business loans. The amortisation schedule you build here is identical in concept to the one your bank generates when you take out a mortgage.
Early extinguishment happens when falling interest rates make it cheaper for a company to refinance. The company calls its old, high-coupon bonds and issues new ones at the lower market rate, even though the call premium triggers a one-time loss.
Students often think each installment payment is all interest or all principal. Every payment contains both; the ratio shifts as the balance declines.
A common error is computing the annual payment by simply dividing the loan by the number of years. The correct calculation uses the PVA factor to account for the time value of money.
With early extinguishment, students sometimes calculate the loss using only the call premium and forget to include the unamortised discount (or forget to subtract the unamortised premium). The loss or gain is the full difference between cash paid and carrying amount.
Students sometimes record the gain or loss on early extinguishment as an operating item. Under current standards, it is typically reported as a separate line item, often below operating income.
Expect to calculate the annuity payment and build a full amortisation schedule for an installment note. Being able to do this quickly is essential.
You may be asked to record journal entries from both the borrower's and the lender's perspectives. The entries mirror each other, so learn one side well and you can derive the other.
Early extinguishment questions often give the call price as a percentage (e.g. 102%) and expect you to compute the cash outflow and the gain or loss. Do not forget to factor in the remaining unamortised discount or premium.
Know that gains and losses on early extinguishment are reported on the income statement, not hidden in equity.
True or false: Each installment payment on a note payable is the same dollar amount.
True (for a standard installment note with equal payments).
Fill in the blank: The interest portion of an installment payment = outstanding balance x ______.
The interest rate per period.
True or false: As an installment note is repaid, the interest portion of each payment increases over time.
False. The interest portion decreases because the outstanding balance declines.
Fill in the blank: When bonds are called at 102%, the issuer pays ______ per $100 of face value.
$102.
True or false: A gain on early extinguishment means the company paid less than the carrying amount to retire the bonds.
True.
Q: Matrix, Inc. borrows $50,000 at 9% for 4 years with annual payments. PVA(4, 9%) = 3.23972. What is the annual payment?
A: $50,000 / 3.23972 = $15,433.
Q: In the first year of Matrix's note, what is the interest expense and the principal reduction?
A: Interest = $50,000 x 9% = $4,500. Principal reduction = $15,433 – $4,500 = $10,933.
Q: How does the lender (Apex Motors) record the receipt of the first payment?
A: Debit Cash $15,433, Credit Interest Revenue $4,500, Credit Notes Receivable $10,933.
Q: Indian River Electronics calls $90 million of bonds at 102%. The unamortised discount is $3 million. What is the loss on early extinguishment?
A: Carrying amount = $90M – $3M = $87M. Cash paid = $90M x 1.02 = $91.8M. Loss = $91.8M – $87M = $4.8M.
Q: Why does the loss include both the call premium and the unamortised discount?
A: The call premium ($1.8M) is extra cash paid above face value. The unamortised discount ($3M) represents future interest that will never be recognised because the bond is retired early. Together, they measure the full economic cost of getting out of the debt early.
Installment notes use the same PVA arithmetic as bond pricing. If you can price a bond, you can calculate an installment payment, and vice versa.
Early extinguishment builds on the bond issuance at discount and premium notes. You need to know the carrying amount at the redemption date, which comes directly from the amortisation schedule.
Gains and losses on early extinguishment connect to income statement presentation and the distinction between operating and non-operating items.
Installment note, notes payable, notes receivable, annuity payment, loan amortization schedule, equal periodic payments, principal reduction, interest portion, borrower journal entries, lender journal entries, early extinguishment, bond redemption, call price, callable bonds, loss on early extinguishment, gain on early extinguishment, unamortised discount, unamortised premium, carrying amount at redemption, income statement presentation, intermediate financial accounting, long-term liabilities