$46,615 in 1998 has the same purchasing power as $66,621.41 in 2013. Over the 15 years this is a change of $20,006.41.

The average inflation rate of the dollar between 1998 and 2013 was 2.36% per year. The cumulative price increase of the dollar over this time was 42.92%.

## The value of $46,615 from 1998 to 2013

So what does this data mean? It means that the prices in 2013 are 666.21 higher than the average prices since 1998. A dollar in 2013 can buy 69.97% of what it could buy in 1998.

These inflation figures use the Bureau of Labor Statistics (BLS) consumer price index to calculate the value of $46,615 between 1998 and 2013.

The inflation rate for 1998 was 1.56%, while the inflation rate for 2013 was 1.46%. The 2013 inflation rate is lower than the average inflation rate of 2.25% per year between 2013 and 2021.

## USD Inflation Since 1913

The chart below shows the inflation rate from 1913 when the Bureau of Labor Statistics' Consumer Price Index (CPI) was first established.

## The Buying Power of $46,615 in 1998

We can look at the buying power equivalent for $46,615 in 1998 to see how much you would need to adjust for in order to beat inflation. For 1998 to 2013, if you started with $46,615 in 1998, you would need to have $66,621.41 in 1998 to keep up with inflation rates.

So if we are saying that $46,615 is equivalent to $66,621.41 over time, you can see the core concept of inflation in action. The "real value" of a single dollar decreases over time. It will pay for fewer items at the store than it did previously.

In the chart below you can see how the value of the dollar is worth less over 15 years.

## Value of $46,615 Over Time

In the table below we can see the value of the US Dollar over time. According to the BLS, each of these amounts are equivalent in terms of what that amount could purchase at the time.

## US Dollar Inflation Conversion

If you're interested to see the effect of inflation on various 1950 amounts, the table below shows how much each amount would be worth today based on the price increase of 42.92%.

## Calculate Inflation Rate for $46,615 from 1998 to 2013

To calculate the inflation rate of $46,615 from 1998 to 2013, we use the following formula:

$$\dfrac{ 1998\; USD\; value \times CPI\; in\; 2013 }{ CPI\; in\; 1998 } = 2013\; USD\; value $$

We then replace the variables with the historical CPI values. The CPI in 1998 was 163 and 232.957 in 2013.

$$\dfrac{ \$46,615 \times 232.957 }{ 163 } = \text{ \$66,621.41 } $$

$46,615 in 1998 has the same purchasing power as $66,621.41 in 2013.

To work out the total inflation rate for the 15 years between 1998 and 2013, we can use a different formula:

$$ \dfrac{\text{CPI in 2013 } - \text{ CPI in 1998 } }{\text{CPI in 1998 }} \times 100 = \text{Cumulative rate for 15 years} $$

Again, we can replace those variables with the correct Consumer Price Index values to work out the cumulativate rate:

$$ \dfrac{\text{ 232.957 } - \text{ 163 } }{\text{ 163 }} \times 100 = \text{ 42.92\% } $$

## Inflation Rate Definition

The inflation rate is the percentage increase in the average level of prices of a basket of selected goods over time. It indicates a decrease in the purchasing power of currency and results in an increased consumer price index (CPI). Put simply, the inflation rate is the rate at which the general prices of consumer goods increases when the currency purchase power is falling.

The most common cause of inflation is an increase in the money supply, though it can be caused by many different circumstances and events. The value of the floating currency starts to decline when it becomes abundant. What this means is that the currency is not as scarce and, as a result, not as valuable.

By comparing a list of standard products (the CPI), the change in price over time will be measured by the inflation rate. The prices of products such as milk, bread, and gas will be tracked over time after they are grouped together. Inflation shows that the money used to buy these products is not worth as much as it used to be when there is an increase in these products’ prices over time.

The inflation rate is basically the rate at which money loses its value when compared to the basket of selected goods – which is a fixed set of consumer products and services that are valued on an annual basis.