Bond Pricing Explained

How bond prices are determined and why they move when interest rates change

The core idea behind bond pricing

At its core, a bond is simple.

It is a stream of future cash flows:

  • The price of a bond is the present value of those future cash flows.

    That means:

    👉 every payment is discounted back to today

    👉 using the current market interest rate (yield)

    Why bond prices fall when rates rise

    This is the most important relationship in fixed income:

    👉 Bond prices and yields move in opposite directions

    Here’s why:

    If new bonds are issued with higher yields, older bonds with lower coupons become less attractive. To compensate, their price must fall until their effective yield matches the market.

    Example:

  • 👉 No one buys the 2% bond at full price

    👉 its price drops until yield adjusts

    Simple pricing example

    Assume:

  • The bond must trade below $1,000 so that its effective return matches 5%.

    👉 This is how pricing adjusts automatically.

    The role of yield

    Yield is not just a number. It is the discount rate that determines the price of the bond.

    Different yields reflect:

  • When yield changes, the entire pricing mechanism shifts.

    Duration: the missing link in bond pricing

    Bond pricing explains why prices move. Duration explains how much they move.

    This is the connection:

  • Example:

    If yields rise by 1%:

  • Try it yourself

    Use the Duration Lab to see how bond prices change with different rate scenarios.

    👉 Open Duration Lab

    What affects bond prices

    Several factors influence bond pricing:

    1. Interest rates

    The most important driver.

    Higher rates → lower prices

    Lower rates → higher prices

    2. Time to maturity

    Longer bonds are more sensitive to rate changes.

    3. Coupon rate

    Lower coupons → higher sensitivity

    Higher coupons → lower sensitivity

    4. Credit risk

    Higher risk → higher yield → lower price

    5. Market liquidity

    Less liquidity → higher required yield

    Premium vs discount bonds

    Bonds do not always trade at face value.

    Premium bond

    Price > face value

    Coupon > market yield

    Discount bond

    Price < face value

    Coupon < market yield

    👉 Pricing adjusts so yield aligns with the market.

    Why bond pricing matters for investors

    Bond pricing is not just theory.

    It directly impacts:

  • Many investors focus on income but price changes often matter more.

    Especially when:

  • Common mistakes

    ❌ Ignoring price volatility

    Bonds can move significantly, especially with high duration.

    ❌ Focusing only on yield

    Yield does not show downside risk.

    ❌ Assuming bonds are “safe”

    They are rate-sensitive assets.

    Bond pricing in today’s market

    Bond pricing becomes more important when:

  • In these environments:

    Pricing moves faster

    Duration matters more

    Putting it all together

    Bond pricing connects everything:

  • Understanding pricing means to understand how markets actually move.