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📚Concept #41

Bonds Payable

Issued at par, discount, or premium.

Why This Matters

This is the module where accounting students either breakthrough or bail out.

Bonds aren't hard — but they require layering several concepts: face value, market interest rates, present value, discount amortization, premium amortization. Stack them on top of each other without a solid foundation and it becomes a blur.

Here's the truth:

Bonds are just long-term loans with a twist. A company borrows money, pays interest periodically, and repays the principal at the end. What makes bonds different is that the interest rate printed on the bond (the "stated rate") often doesn't match what the market is currently paying (the "market rate"). That gap creates discounts and premiums.

Master bonds payable, and you'll understand one of the most sophisticated instruments in corporate finance. You'll also understand why a bond that pays 6% interest can sell for more or less than its face value.

What Is a Bond?

A bond is a formal debt instrument issued by a company to raise capital from multiple investors simultaneously.

When a company issues a bond:

  • It borrows money from bondholders
  • It promises to pay periodic interest (coupon payments) at the stated rate
  • It promises to repay the face value (par value) at the maturity date

CORPORATE BOND

Issuer:ABC Corp
Face Value:$1,000
Stated Rate:6% annual
Maturity Date:Jan 1, 2036

Coupon payments: $60/year

(or $30 every 6 months)

The Three Scenarios

The stated rate (printed on the bond) vs. the market rate (what investors currently demand) determines whether the bond sells at, below, or above face value.

Stated = Market

PAR

Sells at face value

Stated < Market

DISCOUNT

Sells below face value

Stated > Market

PREMIUM

Sells above face value

Why Does This Happen?

Imagine you're buying a bond that pays 6% interest. But today, the market is paying 8% on similar bonds. Would you pay $1,000 for a bond that only pays you 6%? No — you'd demand a lower price to compensate for the below-market interest. You'd pay less than $1,000 — a discount.

Now flip it: if the bond pays 8% and the market is only paying 6%, investors would compete to buy that bond, driving the price above $1,000 — a premium.

1

Issued at Par

The simplest case. Stated rate = market rate.

SetupFace: $100k | Rate: 6% | Term: 10 yrs

1. Issue (Jan 1)

Cash100,000
Bonds Pay100,000

2. Semi-Annual Interest

Interest Exp3,000
Cash3,000

3. Maturity (10 Yrs)

Bonds Pay100,000
Cash100,000

At par, it's clean: borrow $100k, pay $3k every 6 months, repay $100k.

2

Issued at a Discount

Stated rate (6%) < market rate (8%). Investors pay less than face value.

The Setup

  • Face value: $100,000
  • Stated rate: 6%
  • Market rate: 8%
  • Issue price: $86,410

The difference is the bond discount:

$100,000 - $86,410 = $13,590

This is a contra-liability account.

Entry 1: Issue at Discount

Cash86,410
Discount on Bonds Pay13,590
Bonds Payable100,000

Balance Sheet Presentation:

Bonds Payable$100,000
Less: Discount($13,590)
Net Carrying Value$86,410

Discount Amortization

The discount must be spread (amortized) over the life of the bond. The investor paid $86,410 but gets $100,000 at maturity. That extra $13,590 is additional interest compensation.

$13,590 ÷ 20 semi-annual periods = $679.50 per period

Entry 2: Semi-Annual Interest + Amortization

Interest Expense3,679.50
Discount on Bonds Pay679.50
Cash3,000.00

Key Insight: Cash paid is only $3,000. But actual interest expense is $3,679.50 because the discount amortization makes the effective cost higher.

PeriodBeg. Carrying ValueInterest ExpenseCash PaidAmortizationEnd Carrying Value
1$86,410.00$3,679.50$3,000$679.50$87,089.50
2$87,089.50$3,679.50$3,000$679.50$87,769.00
..................
20$99,320.50$3,679.50$3,000$679.50$100,000.00

Carrying value INCREASES toward $100k.

3

Issued at a Premium

Stated rate (8%) > market rate (6%). Investors pay more than face value.

The Setup

  • Face value: $100,000
  • Stated rate: 8%
  • Market rate: 6%
  • Issue price: $114,877

The difference is the bond premium:

$114,877 - $100,000 = $14,877

This is an adjunct-liability account.

Entry 1: Issue at Premium

Cash114,877
Bonds Payable100,000
Premium on Bonds Pay14,877

Balance Sheet Presentation:

Bonds Payable$100,000
Add: Premium$14,877
Net Carrying Value$114,877

Premium Amortization

The premium is also amortized, but it reduces interest expense. The company received more cash ($114,877) than it'll repay ($100,000). That extra $14,877 offsets future interest payments.

$14,877 ÷ 20 semi-annual periods = $743.85 per period

Entry 2: Semi-Annual Interest + Amortization

Interest Expense3,256.15
Premium on Bonds Pay743.85
Cash4,000.00

Key Insight: Cash paid is $4,000. But actual interest expense is only $3,256.15 because the premium amortization reduces the effective cost.

PeriodBeg. Carrying ValueInterest ExpenseCash PaidAmortizationEnd Carrying Value
1$114,877.00$3,256.15$4,000$743.85$114,133.15
2$114,133.15$3,256.15$4,000$743.85$113,389.30
..................
20$100,743.85$3,256.15$4,000$743.85$100,000.00

Carrying value DECREASES toward $100k.

The Big Picture

MetricAT PARDISCOUNTPREMIUM
Face Value$100,000$100,000$100,000
Stated Rate6%6%8%
Market Rate6%8%6%
Issue Price$100,000$86,410$114,877
SEMI-ANNUAL METRICS
Cash Paid$3,000$3,000$4,000
Interest Expense$3,000$3,679.50$3,256.15
Carrying Value DirectionFlat ─→Rising ↑ (to $100k)Falling ↓ (to $100k)

Carrying Value to Maturity

$115k
$100k
$86k
Year 0
Year 10 (Maturity)
All converge at Face Value ($100k)
Premium
Par
Discount

Bond Retirement Before Maturity

Companies sometimes call (retire) bonds before the maturity date — if they can refinance at lower rates.

Retiring Above Carrying Value (LOSS)

Call bonds when carrying value = $96k, pay $98k

Bonds Payable100,000
Loss on Retirement2,000
Discount on Bonds4,000
Cash98,000

Retiring Below Carrying Value (GAIN)

Call bonds when carrying value = $103k, pay $101k

Bonds Payable100,000
Premium on Bonds3,000
Cash101,000
Gain on Retirement2,000

Common Mistakes

Mistake 1: Rates vs. Price Direction

WRONG

"Market rate goes UP, so bond price goes UP"

RIGHT

They move in OPPOSITE directions. Market rate ↑ → Bond price ↓

If market offers better rates, your old bond is less attractive.

Mistake 2: Forgetting Interest Exp ≠ Cash Paid

WRONG

Recording only cash paid as interest exp.

Interest Exp 3,000

Cash 3,000

RIGHT

True cost includes amortization.

Interest Exp 3,679

Discount 679

Cash 3,000

Key Takeaway

When stated < market, bonds issue at a discount — below face value — and the discount is amortized to additional interest expense each period. When stated > market, bonds issue at a premium — above face value — and the premium is amortized to reduce interest expense each period.

In all three cases, the carrying value converges to exactly face value at maturity.

Test Your Understanding

See if you've got the basics down. Click each option and check your answer.

Question 1: A company issues bonds with a 5% stated rate when the market rate is 7%. The bonds will sell:

Question 2: A $200,000 bond is issued at 95 (i.e., 95% of face value). What is the bond discount?

Question 3: A $100,000 bond issued at a discount of $8,000, with a 10-year term and semi-annual payments. Using straight-line amortization, what is the discount amortized each period?

Question 4: A bond is issued at a premium. What happens to the carrying value of the bond over its life?

Question 5: When recording semi-annual interest on a DISCOUNT bond, the journal entry includes:

Ready to Practice?

You now understand one of the most complex topics in financial accounting. The Practice Lab challenges you to issue bonds, build amortization schedules, and watch carrying value converge.

Try the Practice Lab

What's Next?

You've completed the Long-Term Liabilities unit! Next, we flip to the other side of the balance sheet: Stockholders' Equity.

🧪Try Practice Lab

Up Next

Stockholders' Equity