The interest elasticity of demand for money in liquidity trap is :

Question

Accepted Answer

In the context of a liquidity trap, the interest elasticity of demand for money is considered to be infinite. This is because, in a liquidity trap, people prefer to hold onto cash rather than invest in bonds or other interest-bearing assets, regardless of how low the interest rates fall. Here’s a detailed explanation of why Option 3 is correct and why the other options are incorrect:

### Explanation for Option 3 (Infinite):

1. **Definition of Liquidity Trap**: A liquidity trap occurs when interest rates are very low, and savings rates are high, rendering monetary policy ineffective. In this situation, people expect interest rates to rise in the future, which would lead to capital losses on bonds. Therefore, they prefer to hold cash.

2. **Interest Elasticity of Demand for Money**: This measures how sensitive the quantity of money demanded is to changes in interest rates. In a liquidity trap, even significant changes in interest rates do not lead to changes in the demand for money because people are unwilling to invest in bonds.

3. **Infinite Elasticity**: The concept of infinite elasticity implies that any change in interest rates, no matter how small, would lead to an infinite change in the quantity of money demanded. In practical terms, this means that people are completely unresponsive to changes in interest rates when it comes to holding money versus bonds.

### Explanation for Why Other Options are Incorrect:

1. **Option 1 (Zero)**: If the interest elasticity of demand for money were zero, it would mean that changes in interest rates have no effect on the demand for money. While it might seem similar to infinite elasticity, zero elasticity implies that people are indifferent to interest rates, which is not the case in a liquidity trap. In a liquidity trap, people are highly responsive to interest rates in the sense that they will not change their behavior regardless of how low rates go, which aligns with infinite elasticity.

2. **Option 2 (Unity)**: Unity elasticity means that a percentage change in interest rates leads to an equal percentage change in the demand for money. This is not applicable in a liquidity trap because the demand for money does not change proportionally with interest rates; instead, it remains extremely high regardless of rate changes.

3. **Option 4 (Between zero and one)**: This option suggests that the demand for money is somewhat responsive to interest rate changes, but not perfectly elastic. In a liquidity trap, the demand for money is not just somewhat responsive; it is completely unresponsive to interest rate changes, which is why infinite elasticity is the correct characterization.

In summary, the correct answer is Option 3 (Infinite) because, in a liquidity trap, the demand for money is infinitely elastic with respect to interest rates, meaning that people will continue to hold money regardless of how low interest rates fall. This is due to the expectation of future interest rate increases and the associated risks of holding bonds.