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Module 6 · Inflation and Real Returns Core

A bond promises you a fixed number of dollars. Inflation decides what those dollars will buy when they arrive. This module shows you how to see through the headline yield to the real one, how much inflation can take over time, and what inflation-protected bonds can and cannot do.

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By the end of this module you'll be able to

  • Calculate an approximate real yield from a nominal yield and inflation.
  • Show how inflation reduces purchasing power over time.
  • Explain inflation-linked bonds: Real Return Bonds in Canada and TIPS in the US.
  • Explain why short-term bonds and GICs adjust to inflation faster than long bonds.

Nominal yield and real yield

Every yield you have seen so far in this course is a nominal yield: the return in dollars, with no adjustment for prices. What you really care about is what those dollars can buy. That is the real yield, the return after inflation.

real yield ≈ nominal yield − inflation

Example. A bond yields 4.5% and inflation is 2.5%. Your real yield is about 4.5% − 2.5% = 2.0%. Your money grows 4.5% in dollars, but only about 2% in what it can buy.

The subtraction is a close shortcut. The exact version divides instead:

real yield = (1 + nominal yield) ÷ (1 + inflation) − 1

For the example above, 1.045 ÷ 1.025 − 1 = 1.95%, very close to the shortcut’s 2.0%. The shortcut is fine unless inflation is very high.

For reference, the Bank of Canada aims to keep inflation at 2%, the middle of a 1% to 3% target range. In 2022 inflation ran far above that. Canada’s consumer price index rose 8.1% over the year to June 2022, its fastest pace in about four decades. A bond paying 2% at that time had a real yield of about −6%.

How inflation eats purchasing power

Inflation compounds, just like returns and fees. A fixed amount of money buys less every year.

value in today’s dollars = future amount ÷ (1 + inflation)^years

Example. You will receive $10,000 in 10 years. If inflation averages 3% a year, that $10,000 will buy what about $10,000 ÷ 1.03^10 = $7,441 buys today.

Average inflation$10,000 in 10 years, in today’s dollarsPurchasing power lost
2%about $8,203about 18%
3%about $7,441about 26%
5%about $6,139about 39%
A fixed 10,000 dollars loses purchasing power over 20 years Two lines over 20 years. The face value of a 10,000 dollar bond stays flat at 10,000 dollars. Its purchasing power at 3 percent inflation falls to about 8,626 dollars after 5 years, 7,441 after 10, 6,419 after 15 and 5,537 after 20. $10k $5k $0 Start 5 yrs 10 yrs 15 yrs 20 yrs Face value: $10,000 What it buys: about $5,537 about $7,441 $10,000 repaid in the future, measured in today’s dollars at 3% inflation a year.
The dollars come back in full; what they buy does not. After 20 years of 3% inflation, $10,000 buys about what $5,537 buys today. Illustrative constant inflation.

This is why “safe” money is not risk-free. A long bond or GIC that is never at risk of default can still lose a large share of its real value if inflation turns out higher than expected when you bought it.

Inflation-linked bonds

Some government bonds are designed to protect against inflation. Their face value rises with the consumer price index, and the coupon is paid on that rising amount. You are promised a real yield, and inflation is added on top.

The market for these bonds also gives you a useful number. Compare a regular government bond with an inflation-linked one of the same maturity:

breakeven inflation ≈ nominal yield − real yield

Example. A ten-year regular bond yields 3.4% and a ten-year inflation-linked bond has a real yield of 1.2%. Breakeven inflation is about 2.2%. If inflation averages more than 2.2% over the ten years, the inflation-linked bond does better. If it averages less, the regular bond does better. The breakeven is the market’s best guess of future inflation.

Inflation protection is not price protection. Inflation-linked bonds protect against inflation, but they still have duration, often a long one. In 2022, real yields rose sharply as central banks raised rates, and Real Return Bond funds fell steeply, even though inflation was high. They protect you against unexpected inflation if you hold them to maturity, not against rising interest rates.

Why short beats long when inflation surprises

Inflation hurts a long bond twice. Its fixed coupons buy less, and rising inflation usually pushes interest rates up, which pushes its price down (Module 3).

Short-term bonds, treasury bills, savings accounts and short GICs suffer far less. They mature quickly, so your money is soon reinvested at new rates that reflect the higher inflation.

Example. In early 2022, a one-year GIC might have paid around 1.5%, and a ten-year bond about 2%. By early 2023, the GIC had matured and could be renewed at around 5%. The ten-year bond was still paying 2%, and its price had fallen sharply. Neither kept up with 2022’s inflation, but the short-term investor was back above inflation much sooner.

HoldingProtection against a surprise rise in inflation
Savings account, short GIC, treasury billsGood over time: rates reset quickly, but you earn little in real terms
Short-term bondsFairly good: reinvested within a few years
Long-term bondsPoor: locked-in coupon and a large price drop
Inflation-linked bonds held to maturityGood: face value rises with prices, but the price can still swing before then

Real and after-tax

There is one more layer. Tax is charged on the whole nominal interest, including the part that only keeps up with inflation. Module 9 covers bond taxes in detail, but the effect is worth seeing now.

Example. A GIC in a taxable account pays 4%. Your marginal tax rate is 40%, and inflation is 2.5%.

StepYield
Nominal yield4.0%
After 40% tax: 4.0% × (1 − 0.40)2.4%
After 2.5% inflation: 2.4% − 2.5%about −0.1%

A GIC that looks like it pays 4% is, in this case, slowly losing purchasing power. The same GIC in a TFSA or RRSP, where the interest is sheltered from tax, keeps a real yield of about 1.5%. This is one of the strongest reasons to hold interest-paying investments in registered accounts.

The real-yield ruleAlways subtract tax, then inflation. A yield that looks good can be nothing once both are taken out.

Put it into practice

Your mission
  1. Open the Retirement Planner and run your plan with 2% inflation.
  2. Run it again with 4% inflation, keeping everything else the same. Note how the result changes.
  3. Write down the nominal yield of one GIC, bond or bond fund you own. Work out its real yield at today’s inflation rate, and its real after-tax yield using your marginal tax rate if it sits in a taxable account.
  4. In your notes, answer: is this holding growing your purchasing power, or just keeping pace?

Open the Retirement Planner →

💡 See how a higher inflation rate changes your plan in the Retirement Planner.

Educational purposes only; not financial advice. Any bonds, funds, tickers, rates and figures are illustrative examples, not recommendations. Interest rates, deposit-insurance limits and tax rules change, so confirm current details with the issuer, CDIC and your tax authority. Worked examples are not forecasts. Written by Elizabeta Dimoska. Always do your own research and consult a licensed advisor.