What it means
Par is the face value of a bond, the amount the issuer promises to repay at maturity, often $1,000 per bond. The price in the market can sit above or below par for years because interest rates change, but it cannot stay away forever because the repayment at maturity is fixed.
As time passes, the remaining life of the bond shortens, and the difference between today's price and the final repayment matters less. Each year the bond ages, its price drifts closer to par, even if market interest rates do not change.
The movement is gradual and largely predictable, which makes it a useful planning tool. The effect works in both directions.
A discount bond, bought below par, shows a rising price as the discount is gradually earned, and a premium bond, bought above par, shows a falling price as the premium wears away. For accounting and portfolio management, the idea explains why holding a bond to maturity gives a known outcome.
An investor who pays $950 for a $1,000 bond and holds it to the end receives the $50 difference as part of the return, regardless of the interim ups and downs. The nuance is that the pull is not a straight line in reality.
Prices follow a curve that depends on the yield, and they can move away from par for a while if rates or the issuer's credit quality change. The simple straight-line version is a useful rule of thumb, not an exact schedule.
Credit risk can also break the pattern. If the issuer runs into financial trouble, the price can fall far below par and may never recover to face value.
This is why credit quality must be checked before relying on the pull.
In practice
Real-world examples.
Example
A corporate treasurer buys a 3-year bond at $970 per $1,000 of face value. She knows that, barring a default, the price will rise toward $1,000, and she plans her cash flows around the maturity date. She records the discount as interest income over the life of the bond rather than all at once.
Example
A pension fund holds a bond priced at $1,060 with four years to maturity. The finance team amortises the $60 premium over the four years, and reports a lower investment return than the coupon rate suggests. Without this step, the accounts would overstate income in the early years.
Example
A bond trader notes that a discount bond has gained in price over several months even though interest rates stayed flat. He explains to a junior colleague that the move comes from pull to par, not from any change in market views. He adds that the gain is steady but small, so it should not be confused with a bet on falling rates.
Formula
Calculation
Approximate annual price change = (par value - current price) / years to maturity
Suppose an investor buys a bond with a $1,000 face value for $950, and it matures in 5 years. The gap to par is 1,000 - 950 = $50. The approximate annual pull is 50 / 5 = $10 a year, so after one year the price would be about $960, after two years about $970, and so on until it reaches $1,000. For a premium bond bought at $1,050 with 5 years left, the same calculation gives (1,000 - 1,050) / 5 = -$10 a year, so the price drifts down by about $10 each year.Case study
Seen in the real world.
Ironbridge Insurance is an illustrative, fictional company that holds a portfolio of bonds to match future claims. The investment team bought a block of bonds at a discount when market interest rates were high.
Two years later, rates had not moved, yet the portfolio's market value had risen. The head of finance explained to the board that most of the gain came from pull to par rather than any trading skill. She showed the board a chart in which the price of each bond climbed toward $1,000 while interest rates stayed flat.
She also warned that the effect fades as maturity approaches, so future gains would be smaller. The illustrative lesson is that part of a bond's return arrives automatically over time, and it should be budgeted rather than treated as a surprise.
Watch out
Common mistakes.
- Assuming the price always rises to par, when a default or sharply higher yields can keep it below par for good.
- Believing the pull is a straight line, when the actual path follows a curve linked to the bond's yield.
- Counting the pull as an extra profit on top of the yield to maturity, when it is already part of that return.
Questions
People also ask.
Does pull to par apply to premium bonds?
Yes, a premium bond is priced above par and its price falls toward face value as maturity approaches. Investors who buy at a premium must accept that part of the coupon is offset by this fall.
Why does the price move even if interest rates stay the same?
Because the repayment at maturity is fixed, so the time left shrinks and the gap between price and par has to close. The same logic holds for any bond that does not default.
Does pull to par matter if I hold the bond to maturity?
It explains the return you earn, but a hold-to-maturity investor receives par at the end regardless of price swings along the way.
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