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Zero lower bound

The assumed zero floor for nominal policy rates, why real rates can still be negative, and how the practical effective floor differs.

The zero lower bound (ZLB) is the assumed floor of zero for a nominal policy rate. Once that floor binds, a central bank cannot deliver further stimulus by cutting that rate within the model. For a quant constructing policy scenarios, the assumption changes the response to a downturn: a desired rate cut may no longer be feasible.

Why zero became the benchmark

Banknotes retain their nominal face value while held. If people could switch freely and costlessly between deposits and banknotes, a negative deposit rate would make cash attractive. That outside option motivates the zero-floor intuition.

Actual large-scale cash holdings involve storage, security and payment frictions. The ECB explains the warehousing cost, while the RBA describes how negative policy rates overturned the strict zero-floor view. Negative central-bank rates also need not pass through to every retail deposit account.
The effective lower bound is the practical floor given institutions and the effects of further cuts; it may lie below zero. A zero lower bound is therefore a useful explicit modelling restriction, rather than a universal fact about every interest rate. It concerns nominal rates, not inflation-adjusted returns.

Zero nominal can coexist with negative real

Consider a fictional one-year instrument with a nominal interest rate i=0%i=0\%. An analyst's point forecast for inflation over the same year is πe=2%\pi^e=2\%. Using that forecast in the Fisher approximation for the expected real interest rate:
re≈i−πe=0%−2%=−2%.r^e \approx i-\pi^e = 0\%-2\%=-2\%.
The nominal balance earns no interest, but the forecast rise in prices implies a loss of purchasing power. The Czech National Bank's explanation distinguishes expected from realised inflation and describes subtraction as an approximation. Here, −2% is a forecast-based approximate real rate, not a realised return or an exact expected purchasing-power return under uncertain inflation.

This calculation deliberately matches a one-year instrument to a one-year inflation forecast. An overnight policy rate cannot simply replace the one-year nominal rate without an additional assumption about future rates and the relevant instrument.

Fictional matched one-year rates: nominal interest 0%, inflation point forecast plus 2%, and Fisher-approximation expected real interest minus 2%. The nominal zero constraint does not constrain the real rate to zero.
Fictional matched one-year rates: nominal interest 0%, inflation point forecast plus 2%, and Fisher-approximation expected real interest minus 2%. The nominal zero constraint does not constrain the real rate to zero.
Fictional one-year scenario. The real-rate estimate uses subtraction and a point forecast; it is neither a realised return nor an exact expectation under inflation uncertainty.
At a fixed nominal rate, lower inflation expectations raise the approximate real rate; expected deflation can make it positive. That is why a zero nominal setting does not alone establish that monetary conditions are sufficiently expansionary. Assessing the stance also requires a benchmark such as the neutral interest rate and evidence on borrowing conditions. The RBA's lower-bound analysis explains why a low neutral real rate leaves less conventional room to respond to adverse shocks.

The constrained instrument is not the whole toolkit

Even with a binding nominal rate floor, forward guidance can influence the expected future rate path, quantitative easing can affect longer-term yields and portfolios, and funding facilities can support credit. The RBA's unconventional-policy explainer describes these channels. Their effectiveness depends on design and economic conditions; a rate floor does not imply an absence of policy options.
Nor does a zero policy rate by itself diagnose a liquidity trap. The bound identifies a constraint on rate cuts. A liquidity-trap argument additionally concerns why conventional monetary expansion has weak traction and demand remains insufficient.

Sources

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  • monetary policy
  • interest rates
  • real interest rate
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