Bonds Payable: Face, Coupon, and the Issue Price

A bond is a loan, broken into pieces

You already met long-term debt sitting in the non-current half of the balance sheet, and you met a small, formal IOU — a note payable — when a company signs a single written promise to one lender. A bond is that idea scaled up. Instead of borrowing a million dollars from one bank, a company breaks the loan into a thousand identical IOUs of 1,000 each and sells them to a crowd of investors. Each piece of paper is a bond payable: a promise to pay the holder a fixed sum on a fixed date, plus interest along the way. Why bother slicing it up? Because no single lender may want to risk a million on you for thirty years — but a thousand investors might each happily risk a thousand.

Because a bond is split among strangers, every promise has to be printed on it in advance — there is no room to renegotiate privately with a thousand people. So a bond carries three numbers, fixed the day it is born and never changed afterward. The amount the company will repay at the end is the face value (also called par value). The percentage rate, printed on the bond, that sets each interest payment is the coupon rate. And the date the face value comes due is the maturity. The name "coupon" is a museum piece: old paper bonds had little tear-off coupons you mailed in to claim each interest payment.

Face value and coupon: two numbers that never move

Let us make the cash flows concrete. Take a single bond with a face value of 1,000, a coupon rate of 8% paid once a year, maturing in three years. The face value does two jobs at once: it is the lump sum the company repays at maturity, and it is the base the coupon is calculated on. The coupon rate then fixes the interest: 8% of 1,000 is 80, so the company pays the holder 80 every year — the same 80 in year one, year two, and year three — and then hands back the full 1,000 at the end. Crucially, both of these numbers are locked. The coupon will pay 80 a year whatever happens to interest rates in the wider economy, and the company will repay exactly 1,000, not a penny more or less.

So a bond is really a bundle of future cash flows, all promised in advance: a stream of equal coupon payments, plus one big repayment of face value at the end. In our example that bundle is 80, 80, and then 1,080 (the last coupon plus the returned face). And here is the bridge to the previous guide: those are *future* dollars, and you already learned that a future dollar is worth less than a dollar today. The natural question — what is this whole bundle of promises worth right now? — is exactly a present value question. The answer to it is the price the bond will sell for.

Why a bond issues at par, discount, or premium

Here is the crux. The coupon rate was printed months ago, when the bond was designed. But investors live in *today's* market, and they have a competing yardstick: the market rate (also called the effective or yield rate) — the return they could earn right now on a bond of similar risk. The coupon is frozen; the market rate floats. The bond's price is simply whatever makes its frozen promises competitive with that floating alternative. Discounting those future cash flows is just the time value of money from the last guide put to work — translating fixed future promises into one fair price today.

Three cases, and only three. If the market rate *equals* the coupon rate, the bond's frozen 8% is exactly what the market wants, so investors pay the face value — the bond issues at par. If the market rate is *higher* than the coupon — say investors now demand 10% but the bond only pays 8% — the bond is underpaying, so no one will pay full face for it. They pay less than face, just enough that the fixed 80-per-year, earned on a smaller outlay, works out to a 10% return. That shortfall is a bond discount, and the bond issues *at a discount*. If the market rate is *lower* than the coupon — investors would accept 6% but the bond generously pays 8% — that fat coupon is worth extra, so they compete and pay *more* than face. The excess is a bond premium, and the bond issues *at a premium*.

1. Market rate equals the coupon (both 8%): the bond's promises are exactly what the market wants, so investors pay the face value — issued at par.
2. Market rate above the coupon (10% vs 8%): the bond underpays, so investors pay less than face — issued *at a discount*. The shortfall lets the fixed 80-per-year, earned on a smaller outlay, yield the full 10%.
3. Market rate below the coupon (6% vs 8%): the bond overpays, so investors compete and pay more than face — issued *at a premium*. The seesaw, always: market rate up, price down; market rate down, price up.

Notice the seesaw, because it never stops being true for bonds: market rate up, price down; market rate down, price up. A discount is not a sign the company is in trouble, and a premium is not a reward for being virtuous — both are just arithmetic correcting a mismatch between a frozen coupon and a moving market. The discount or premium is the market's way of repricing yesterday's promise at today's rate.

Recording the bond, and its carrying value

Now put it on the books. Say the bond issues at a discount: investors hand over 950 in cash for a bond that promises to repay 1,000 face. The company received only 950, but it still owes 1,000 at maturity — both facts must show. So bookkeeping keeps the full 1,000 face on one line (Bonds Payable) and parks the 50 shortfall in a companion account, Discount on Bonds Payable, that is *subtracted from* the face. The discount is a contra-liability: it lives next to the bond and pulls its reported value down. A premium does the mirror image — investors pay 1,050, so a 50 premium is *added to* the face.

Issued AT A DISCOUNT (received 950 for 1,000 face):
  Cash                         950   (debit)
  Discount on Bonds Payable     50   (debit, contra-liability)
      Bonds Payable                1,000   (credit, face)

Carrying value = Face - unamortized discount
              = 1,000 - 50 = 950  (what's really owed today)

AT A PREMIUM (received 1,050): premium is ADDED instead
Carrying value = Face + unamortized premium = 1,050

The net of these — face minus the unused discount, or face plus the unused premium — is the bond's carrying value (also called the book value or carrying amount of the bond). It is what the balance sheet actually reports as owed, and right at issue it equals the cash the company received: 950 in our discount case. This is the same honest idea you saw with a depreciating asset — the reported book value sits between two extremes, here between the cash raised and the face still due. The carrying value is the truthful middle: more than the cash received (because more must be repaid), less than the face (because the discount has not yet been worked off).

Where the carrying value goes from here

Carrying value does not sit still. At issue it equals the cash received, but it must end exactly at face value on the maturity date, because that is the sum repaid. So over the bond's life the discount is slowly worked off and the carrying value creeps *up* toward 1,000; with a premium it melts away and the carrying value drifts *down* toward 1,000. Both glide to meet the face right at the finish. The process that nudges it along, payment by payment — and that quietly makes the company's real interest expense reflect the market rate rather than the printed coupon — is amortization, the subject of the next guide. For now, hold the picture: a bond's carrying value starts at the issue price and walks to face.