A student is using a standard two-period consumption-savings model. A key feature of this model is the simplifying assumption that the general level of prices for all goods and services remains constant from one period to the next. If a bank offers a savings account with an annual interest rate of 4%, what is the effective increase in the purchasing power of the saved funds after one year, according to the assumptions of this specific model?

Rationale for a Simplifying Assumption in Economic Models

In a simplified economic model of consumption over two periods where the general price level is assumed to remain unchanged, if a financial institution offers a 3% annual rate on savings, the actual growth in a consumer's purchasing power from those savings will be exactly 3%.

Evaluating a Model's Core Assumption

Applying a Simplified Savings Model

Within an economic model that simplifies decision-making over time by assuming that the general price level remains constant, the interest rate quoted by a financial institution is effectively the same as the true increase in purchasing power. This quoted rate is known as the ________ interest rate.

An economic model is used to understand how a person makes choices about spending and saving over time. Match each scenario described below with the correct relationship between a bank's quoted interest rate and the actual growth in a saver's purchasing power.

An economist is constructing a basic two-period model to analyze a consumer's savings decisions. A foundational assumption of this model is that the overall price level of goods and services does not change between the first and second periods. If a bank in this model's economy offers a 5% interest rate on savings, how does this rate relate to the actual change in the consumer's ability to purchase goods in the second period with their saved money?

An economic model designed to study a person's saving decisions over two periods is built on the key assumption that the general price level of goods remains constant. In this model, if a person saves $100 with a 5% annual interest rate, their savings grow to $105, allowing them to purchase exactly 5% more goods in the second period.

Now, suppose this core assumption is violated, and the general price level of all goods actually increases by 2% during the year. How does this price increase impact the purchasing power of the person's $105?

Consequences of a Simplifying Assumption