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# Inflation calculator - US Dollar

\$196,000,000,000 in 1999
\$274,108,291,475.63 in 2013

The inflation rate in the United States between 1999 and 2013 was 39.85%, which translates into a total increase of \$78,108,291,475.63. This means that 196,000,000,000 dollars in 1999 are equivalent to 274,108,291,475.63 dollars in 2013. In other words, the purchasing power of \$196,000,000,000 in 1999 equals \$274,108,291,475.63 in 2013. The average annual inflation rate between these periods was 2.42%.

## Inflation timeline in the United States (1999 - 2013)

The following chart depicts the equivalence of \$196,000,000,000 due to compound inflation and CPI changes. All values are equivalent in terms of purchasing power, which means that for each year the same goods or services could be bought with the indicated amount of money.

All calculations are performed in the local currency (USD) and using 6 decimal digits. Results show only up to 2 decimal digits to favour readability. Inflation data is provided by governments and international institutions on a monthly basis.

The following table contains relevant indicators:

Indicator Value
Cumulative inflation from 1999 to 2013 39.85%
Avg. Annual inflation from 1999 to 2013 2.42%
CPI 1999 70.28
CPI 2013 98.29

## How to calculate the time value of money with inflation data?

There are several ways to calculate the time value of money. Depending on the data available, results can be obtained by using the Consumer Price Index (CPI) formula or the compound interest formula.

### Using the CPI formula

When we have both the start and end years, we can use the following formula:

Valuet =Value0 ×
CPIt/CPI0

To obtain the values equivalent in buying power between 1999 and 2013, use the corresponding CPI values:

Value2013
=Value1999 ×
CPI2013/CPI1999
=\$ 196,000,000,000 ×
98.29/70.28
\$274,108,291,475.63

### Alternative: Using the compound interest formula

Given that money changes with time as a result of an inflation rate that acts as compound interest, we can use the following formula: FV = PV × (1 + i)n, where:

• FV: Future Value
• PV: Present Value
• i: Interest rate (inflation)
• n: Number of times the interest is compounded (i.e. # of years)

In this case, the future value represents the final amount obtained after applying the inflation rate to our initial value. In other words, it indicates how much are \$196,000,000,000 worth today. There are 14 years between 1999 and 2013 and the average inflation rate was 2.4247%. Therefore, we can resolve the formula like this:

Value2013
=PV × (1 + i)n
=\$196,000,000,000 × (1 + 0.024247)14
\$274,108,291,475.63

## US inflation - Conversion table

Initial Value Equivalent value
\$1 dollar in 1999 \$1.4 dollars in 2013
\$5 dollars in 1999 \$6.99 dollars in 2013
\$10 dollars in 1999 \$13.99 dollars in 2013
\$50 dollars in 1999 \$69.93 dollars in 2013
\$100 dollars in 1999 \$139.85 dollars in 2013
\$500 dollars in 1999 \$699.26 dollars in 2013
\$1,000 dollars in 1999 \$1,398.51 dollars in 2013
\$5,000 dollars in 1999 \$6,992.56 dollars in 2013
\$10,000 dollars in 1999 \$13,985.12 dollars in 2013
\$50,000 dollars in 1999 \$69,925.58 dollars in 2013
\$100,000 dollars in 1999 \$139,851.17 dollars in 2013
\$500,000 dollars in 1999 \$699,255.85 dollars in 2013
\$1,000,000 dollars in 1999 \$1,398,511.69 dollars in 2013
 Cumulative inflation 1999-2013 39.85% Avg. annual inflation 1999-2013 2.42% CPI 1999 70.28 CPI 2013 98.29

### Value of Dollar over time (by year)

Period Value
1999 196,000,000,000
2000 202,618,647,158.35
2001 208,344,972,671.37
2002 211,649,401,812.21
2003 216,454,039,049.93
2004 222,249,026,142.23
2005 229,789,389,464.42
2006 237,202,246,393.24
2007 243,968,870,131.48
2008 253,335,068,114.2
2009 252,434,352,019.08
2010 256,574,377,520.02
2011 264,674,045,461.45
2012 270,151,019,560.82
2013 274,108,291,475.63

All available years

Today's value of US dollars by year:

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