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A liquidity trap means consumers' preference for liquid assets (cash) is greater than the rate at which the quantity of money is growing. So any attempt by policymakers to get individuals to hold non-liquid assets in the form of consumption by increasing the money supply won't work.
A liquidity trap occurs when low / zero interest rates fail to stimulate consumer spending and monetary policy becomes ineffective. In this situation, an increase in the money supply could fail to increase spending because interest rates can't fall further.
For a long time, the macro-economy was managed by changing interest rates. So it is quite a shock for policy makers to experience a situation where their main policy tool was no longer sufficient. Hence the range of unorthodox monetary and fiscal policies.
In the UK, Base interest rates were cut to 0.5% in March 2009. For a considerable time, the economy remained in recession. Helped by quantitative easing and a devaluation in the Pound, there was a weak recovery in 2010. However, 2011 and 2012 saw a fall in the rate of economic growth. This period is a good example of a liquidity trap.
Interest rate cuts to 0.5% did little to create a strong economic recovery.Money Supply Growth in Liquidity Trap
source: Bank of England
Despite quantitative easing boosting M4 growth by 10% in 2010, M4 growth has been very low.
The liquidity trap is the situation in which prevailing interest rates are low and savings rates are high, making monetary policy ineffective. In a liquidity trap, consumers choose to avoid bonds and keep their funds in savings because of the prevailing belief that interest rates will soon rise. Because bonds have an inverse relationship to interest rates, many consumers do not want to hold an asset with a price that is expected to decline.
