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Part 3 · Interest rates: the price of money · Lesson 15

Bond prices and interest rates are a seesaw

The price of a bond already issued moves opposite to market rates. The longer the maturity, the more the seesaw tilts.

15 min readLesson 15 / 43As of: US Treasury yields and TLT through 2026-10-01 · checked 2026-10-05✓ Read

QToday's question

Rates are rising, so why did the 'safe' bond ETF lose money?

We learn that 'bonds are a safe asset', yet in 2022 a US long-term Treasury ETF fell more than 30% in a single year, even though the US government didn't fail to pay. In this lesson, we work step by step through why bond prices and interest rates move in opposite directions like a seesaw, and why longer bonds swing more.

MAPLearning map for this lesson

We build it up in three steps. At the end of each step, a 'Quick check' lets you test your understanding before moving on.

Before you start

The 'market rate' from Lesson 12, An interest rate is the price of borrowing money, and Lesson 14, Policy rate and market rate, is the star of this lesson. We also reuse the bakery analogy from Lesson 1, Knowing the economy lets you see stock prices (when rates rise, the same earnings get a lower price).

  1. STEP 1 · Basic conceptsA bond is an IOU that pays interest

    You can tell apart a 's par value, and , and explain with numbers why my bond's price gets cut when new bond rates rise.

  2. STEP 2 · Understanding the principlesThe seesaw principle and the power of maturity

    You can confirm by calculation why interest rates and bond prices move in opposite directions, and explain , which makes prices move more the longer the maturity.

  3. STEP 3 · Practical applicationUS long-term bonds in 2022

    You can read the movements of an actual long-term bond ETF and the 10-year yield, and say how the same principle carries over to REITs, growth stocks and bank stocks.

Building knowledge67 concepts built so far · 4 added in this lesson

Part 1 · Getting familiar with economics 29 ✓
Stock priceMarket capitalizationEPS (earnings per share)P/E (price-earnings ratio)Discount rate previewEarnings knob and multiple knob4 economic agentsCircular flow of moneySpending = incomeExport shareSupply and demandEquilibrium pricePrice cycleCyclical sectorsGDPValue addedNominal and real GDPEconomic growth rateGDP components (consumption, investment, government, net exports)QoQ and annualizedBusiness cycleRecovery, expansion, slowdown, recessionPeak and troughCyclical component of coincident indexCyclical and defensive stocksLeading, coincident and lagging indicatorsPMI (50 threshold)Diffusion indexComposite leading indicator (100 baseline)
Part 2 · Prices 21 ✓
InflationPurchasing powerRule of 72Nominal and real interest ratesCPICore inflationYoY and MoMBase effectConsensusPCE price indexPPIPass-through2% inflation targetDisinflationDeflationStagflationGrowth × inflation four phasesThree ways inflation reaches assetsReal assetsPricing powerInflation-linked bonds

Part 3 · Interest rates

Interest rate = the fee for moneyDeposit and lending ratesCredit spreadFixed and floating ratesPolicy rateBOK Monetary Policy Board and FOMCDual mandatePolicy lagNeutral rate, hawk and doveMarket interest rateRates by maturity (2-, 3-, 10-year)Priced inTerm premiumThree promises of a bond (par, coupon, maturity)NEWRate and bond price seesawNEWBond yieldNEWDurationNEW

STEP 1A bond is an IOU that pays interest

Before looking at the seesaw, let's first understand exactly what the 'bond' that rides the seesaw is. You only need to know three unfamiliar terms.

The three promises of a bond

A is an IOU written by a government or company when it borrows money. Three things are written on it: the par value, the principal to be returned at maturity; the , the rate of interest paid each year; and the , the date the principal is returned. For example, with a Treasury bond of 'par KRW 1 million, coupon 3% a year, 10-year maturity', the government pays KRW 30,000 in interest every year for 10 years and returns KRW 1 million after 10 years.

The important point is that once these three promises are set on the issue date, they never change. Whether market rates rise or fall, this bond pays only KRW 30,000 a year to the end. But a bond can be bought and sold to others before maturity. The traded value, the bond's price, changes every day. The question of this lesson is ultimately: "The promises are fixed, so why does the price move?"

An easy analogy · A 3% coupon and a 5% coupon

Last year you bought a KRW 1 million bond paying 3% interest a year. But rates rose this year, and the same government started selling a new bond paying 5% a year for KRW 1 million. Now who would buy your 3% bond for KRW 1 million? Nobody, because the same money can buy a 5% one. To sell yours, you have to cut the price so that the buyer's return comes close to 5%.

How much does the price need to be cut?

Let's calculate the simplest case. A bond with a 3% coupon and one year left to maturity returns the KRW 1 million principal plus KRW 30,000 in interest, KRW 1.03 million in all, after one year. If the new bond rate is 5%, the buyer asks, "How much do I need to put in today to earn 5% by receiving KRW 1.03 million?" This is the discounting we tasted in the bakery analogy in Lesson 1, converting future money into today's value ().

  1. Money received in 1 yearPrincipal KRW 1 million + interest KRW 30,000 = KRW 1.03 million
  2. If the market rate is 5%KRW 1.03 million ÷ 1.05 = about KRW 981,000
  3. If the market rate is 2%KRW 1.03 million ÷ 1.02 = about KRW 1.01 million

When the market rate rose to 5%, the bond's price fell from KRW 1 million to about KRW 981,000, and when it fell to 2%, the price rose to about KRW 1.01 million. The actual annual return you earn when you buy now at that price and hold to maturity is called the . When the news says "the 10-year rate rose", the rate is this bond yield. The coupon rate is the interest rate promised at the start, and the bond yield is the interest rate calculated at today's market price.

Quick checkThere is a bond (par KRW 1 million) with a 4% coupon and one year left to maturity. If the market rate rises to 8%, roughly what is the bond worth?
About KRW 963,000. It pays KRW 1.04 million after one year, so KRW 1.04 million ÷ 1.08 ≈ KRW 963,000. The coupon rate (4%) stays the same, but the market rate rose so the price was cut.

STEP 2The seesaw principle and the power of maturity

We confirmed the direction of the seesaw with a one-year bond. Now let's extend the maturity to 2, 10 and 30 years and see how far the seesaw tilts.

Market rate ↑ → existing bond price ↓ · Market rate ↓ → existing bond price ↑

The interest on a bond already issued is fixed, so when market rates change, the price moves instead to bring the yield in line with the market rate. The longer the maturity, the more the price moves.

In pictures: the rate and bond price seesaw

There are three hypothetical Treasury bonds with a 3% coupon and a par value of 100. Change the market rate with the slider and tap the cards below to pick the maturity to put on the seesaw. When the market rate is 3%, all three bonds are exactly 100.

3% coupon bonds · price by market rate (par 100)

Rate 3.0% Price 100.0
Market rate 3.0%
2-year maturity100.00.0%
10-year maturity100.00.0%
30-year maturity100.00.0%

This is a hypothetical example to aid understanding. Interest is paid once a year, and the market rate is assumed to be the same across all maturities, calculated by present value. Real bonds differ slightly in payment frequency and rates by maturity, so the numbers differ a bit.

Press the 'Rates up · 5%' button. For the same 2 percentage point rise, the 2-year bond falls only about 3.7%, while the 10-year falls about 15% and the 30-year about 31%. The pivot of the seesaw is the same, but it's like the seesaw's arm getting longer the longer the maturity.

Why does it move more the longer the maturity?

Someone holding a 2-year bond only has to put up with the low interest (3%) for 2 years, then gets the principal back and can switch to a 5% bond. The loss is only 'two years of lower interest'. A 30-year bond has to receive that unfavorable interest for 30 years. The price is cut by as much as the lower interest piles up over that time. On top of that, principal far in the future gets discounted many times over. 100 received in 30 years is worth about 41 discounted at 3%, but shrinks to about 23 when discounted at 5%.

expresses this 'price sensitivity to rate changes' as a single number. Roughly, read it as "when rates move 1 percentage point, the price moves by the duration in %". A duration of 8 means the price falls about 8% when rates rise 1 percentage point. Duration is larger the longer the maturity and the lower the coupon rate.

3% coupon bonds2-year maturity10-year maturity30-year maturity
Market rate 3% → 5%96.3 (−3.7%)84.6 (−15.4%)69.3 (−30.7%)
Market rate 3% → 2%101.9 (+1.9%)109.0 (+9.0%)122.4 (+22.4%)

A hypothetical calculation example (annual interest, par 100).

The table shows one more thing. When rates rise 2 percentage points, the 30-year bond falls 30.7%, but when they fall 1 percentage point, it rises 22.4%. The gain when rates fall is bigger than you'd expect because the discounting compounds multiplicatively. It is also why long-term bonds can earn large returns when rates fall.

Common misconceptions

"Treasuries are safe, so they can't lose money?"
The risk that the government can't repay principal and interest is very low. But the price you get when selling before maturity changes daily with market rates. If you hold to maturity you receive the promised principal, but selling midway or marking to market can show a loss.
"Hold a bond ETF to maturity and the principal comes back?"
Most bond ETFs sell bonds nearing maturity and buy new ones to keep a set maturity range. So the ETF itself has no maturity, and its price always reflects market rates.
"When rates rise, bond investing is always a loss?"
The price of bonds you already hold falls, but those who buy new ones receive higher interest. If you reinvest the interest at higher rates, it can make up part of the loss over time.
Quick checkThere are a bond with duration 2 and a bond with duration 17. If market rates rise 1 percentage point, roughly how much does each price fall?
About 2% and about 17%. Duration is the approximate size of the price change for a 1 percentage point change in rates. The longer the bond's maturity, the larger the duration, so it swings far more for the same rate change.

STEP 3US long-term bonds in 2022

Now let's return to today's question. Let's read for ourselves, with the seesaw and duration, why the US long-term Treasury ETF fell so much in 2022.

From record-low rates to the highest rates in 16 years

  1. August 202010-year 0.52%

    Amid the COVID shock, the US 10-year Treasury yield fell to 0.52% on Aug 4, 2020. It is the lowest since the data began in 1962. Long-term bond prices were at a high.

  2. End of 202110-year 1.52%

    Rates began to rise as the economy recovered, but were still at a low level.

  3. 2022Inflation surge and rapid rate hikes

    As rose to 9.1% in June, the raised its policy rate quickly, and the 10-year ended the year at 3.88%, while the 30-year went from 1.90% to 3.97%.

  4. October 202310-year 4.98%

    On Oct 19, the 10-year yield rose to 4.98%. It was the highest in about 16 years, since 2007, and long-term bond prices hit bottom around this time.

The seesaw in practice: TLT and the 10-year yield

TLT is a representative that invests in US Treasuries with maturities over 20 years. In the graph below, see how the blue line (TLT price) and the orange line (10-year yield) move in opposite directions like a mirror. Tap the graph to see that month's numbers.

US long-term Treasury ETF (TLT) month-end close vs US 10-year yield

TLT month-end close (USD, left)US 10-year yield (%, right)

Tap the graph.

Source: Yahoo Finance TLT monthly close (price excluding distributions), FRED DGS10 (US Treasury) month-end values. January 2020 – December 2024. Retrieved as of 2026-10-05.

TLT's month-end close fell about 51%, from $171.00 in July 2020 to $83.58 in October 2023. In 2022 alone, the price dropped 32.8%, from $148.19 to $99.56, and even with distributions (interest) added back, the loss was about 31%. The S&P 500 seen in Lesson 1 fell 19.4% the same year, so the 'safe asset' long-term Treasury fell more than stocks.

You can roughly check this with the duration from STEP 2. According to the manager iShares, TLT's effective duration was 14.69 years as of Oct 1, 2026. Duration gets longer the lower rates are, so it was longer than this in early 2022 when rates were at the floor. Taking duration as 15–17 and multiplying by the roughly 2 percentage point rise in long-term rates in 2022 (30-year from 1.90% to 3.97%) gives a 30–34% decline, which nearly matches the actual drop. It isn't that the US government failed to pay interest; the price simply reflected the fact that you have to hold a bond paying low interest for a long time.

For stocks, it goes like this

The bond seesaw isn't only a story about bonds. Any asset whose money arrives far in the future moves like a 'long-duration asset'. In Lesson 1, we said that when rates rise, the discount rate gets bigger and the same earnings get a lower multiple (P/E). Growth stocks whose earnings are concentrated far in the future, REITs that receive steady rent for a long time, and assets expecting long-term dividends tend to get heavy like long-term bonds when rates rise.

Relatively easier to hold up when rates rise

Short maturity · rate beneficiaries

Short-maturity bonds and deposit-like assets have small price swings and immediately earn the higher rates. Sectors where rising rates translate into earnings, such as banks whose lending rates rise too, also shook relatively less (Lesson 18).

Tends to be pressured when rates rise

Long-duration assets

Long-term Treasuries, REITs, and growth stocks with earnings concentrated far in the future take a big hit from a higher discount rate. When rates fall, conversely, they can also rebound the most (Lesson 17).

You can see how US long-term bonds and each sector have reacted to rate changes in the 'US long-term bonds' cell of the Impact Map of the Macro Map. As of Oct 1, 2026, the US 10-year yield is 5.24%, higher than the 2023 peak, and TLT's reference price was $77.83 on Sep 30, below the 2023 low.

Bond prices don't move on interest rates alone. Corporate bonds also move with the issuer's credit risk, foreign bonds with exchange rates, and inflation-linked bonds with inflation. And no one can know exactly how rates will move ahead. This lesson does not recommend buying or selling any particular bond or ETF.

Quick checkIf rates fall sharply ahead, between a 2-year Treasury ETF and a 20-plus-year long-term ETF, which will rise more in price?
The 20-plus-year long-term ETF. The longer the duration, the more the price reacts to rate changes. Long-term bonds that fell the most when rates rose rise the most when rates fall. Of course, if rates move opposite to expectations, the losses are just as large.

✓What we learned today

  • A bond is an IOU that pays set interest (the coupon rate) and returns the principal (par value) at maturity. Interest and principal are fixed; only the price traded in the market moves.
  • When the rate on newly issued bonds (the market rate) rises, existing bonds paying lower interest must cut their price to sell. So interest rates and bond prices move in opposite directions like a seesaw.
  • The longer the maturity, the longer you are locked into low interest, so the price moves more. For a 3% coupon bond, when the market rate becomes 5%, the 2-year bond falls about 4% and the 30-year about 31% (hypothetical calculation). This sensitivity is duration.
  • While the US 10-year yield rose from 1.52% to 3.88% in 2022, TLT, which invests in Treasuries of 20 years or more, fell about 31% including distributions. It was a bigger decline than the S&P 500 (−19.4%) that year.
  • Every asset that converts far-off money into today's value is on the same seesaw. When rates rise, long-term bonds, REITs and growth stocks get heavier, and when rates fall, they get lighter.
Continues in the next lesson · Lesson 16The yield curve spread: the economy's traffic light

Today we saw how the rate 'level' shakes bond prices. In the next lesson, we look at the 'difference' between short and long rates. We'll check with 50 years of records why an inversion, when short-term rates rise above long-term rates, is called the economy's traffic light.

Quiz5-question quiz

Pick an answer and it's graded right away with an explanation.

Q1. You hold a bond with a 3% coupon, and the rate on a new bond with the same terms rises to 5%. What happens to the price of your bond?

Q2. Which of the following is set when a bond is issued and never changes?

Q3. When market rates rise by the same 2 percentage points, which bond's price falls the most?

Q4. What was the main reason the US long-term Treasury ETF (TLT) fell more than 30% in 2022?

Q5. By the same principle as the bond seesaw, which stocks tend to get heavy like long-term bonds when rates rise?

NextTerms · Next lesson · Related tools

BondBond

An IOU issued by a government or company when it borrows money. It pays set interest and returns the principal at maturity. When interest rates rise, the price of bonds already issued falls.

Coupon rateCoupon rate

The interest rate set when a bond is issued. With a par value of KRW 1 million and a coupon rate of 3%, you receive KRW 30,000 every year, unchanged until maturity.

MaturityMaturity

The date on which the bond issuer has promised to return the principal (par value). The longer the maturity, the more the price moves with rate changes.

Bond yieldBond yield (YTM)

The annual return you earn when you buy a bond at today's market price and hold it to maturity. The '10-year yield' in the news is this. When the price falls, the yield rises.

DurationDuration

The sensitivity of a bond's price to rate changes. With a duration of 10, the price falls about 10% when rates rise 1 percentage point. It is larger the longer the maturity and the lower the coupon rate. Applying the same concept to stocks gives 'equity duration'.

Interest rateInterest rate

The price of borrowing money. When rates rise, the present value of future earnings falls, which tends to lower stock multiples.

10-year Treasury yield10-year Treasury yield

The interest rate when a government borrows for a 10-year term. The US 10-year yield is used as a benchmark rate for asset prices worldwide.

Present valuePresent value

The value of money to be received in the future, converted to today's terms by dividing by the discount rate.

Discount rateDiscount rate

The rate used to convert future money into today's value. It is usually set as an interest rate plus a risk premium. The higher the discount rate, the smaller the present value of future earnings.

Bond ETFBond ETF

A product that holds multiple bonds and trades like a stock. It swaps bonds nearing maturity for new ones to maintain a maturity range, so the ETF itself has no maturity and its price moves with market rates.

This is educational material and not investment solicitation. There is no guarantee that past relationships will repeat in the future.