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# Value of 2002 Brazilian Reals today

R\$100 in 2002
R\$353.97 in 2023

The inflation rate in Brazil between 2002 and today has been 253.97%, which translates into a total increase of R\$253.97. This means that 100 reals in 2002 are equivalent to 353.97 reals in 2023. In other words, the purchasing power of R\$100 in 2002 equals R\$353.97 today. The average annual inflation rate between these periods has been 6.2%.

## Inflation timeline in Brazil (2002 - 2023)

The following chart depicts the equivalence of R\$100 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 (BRL) 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. Today's values were extrapolated from the latest 12-month rolling average official data.

The following table contains relevant indicators:

Indicator Value
Cumulative inflation 2002-2022 235.95%
Cumulative inflation 2002-today 253.97%
Avg. Annual inflation 2002-2022 6.25%
CPI 2002 43.98
CPI 2022 147.76
CPI 2023-08 (latest official data) 155.06
CPI today 155.69

## How to calculate today's value of money after inflation?

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 2002 and 2022, use the corresponding CPI values:

Value2022
=Value2002 ×
CPI2022/CPI2002
=R\$ 100 ×
147.76/43.98
R\$335.95

To obtain the equivalent value today (present value), plug in the CPI for today, which is estimated as 155.69:

Valuetoday
=Value2002 ×
CPItoday/CPI2002
=R\$ 100 ×
155.69/43.98
R\$353.97

### 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 R\$100 worth today. There are 20 years between 2002 and 2022 and the average inflation rate was 6.2462%. Therefore, we can resolve the formula like this:

Value2022
=PV × (1 + i)n
=R\$100 × (1 + 0.062462)20
R\$335.95

## Brazil inflation - Conversion table

Initial Value Equivalent value
R\$1 real in 2002 R\$3.36 reals in 2022
R\$5 reals in 2002 R\$16.8 reals in 2022
R\$10 reals in 2002 R\$33.59 reals in 2022
R\$50 reals in 2002 R\$167.97 reals in 2022
R\$100 reals in 2002 R\$335.95 reals in 2022
R\$500 reals in 2002 R\$1,679.73 reals in 2022
R\$1,000 reals in 2002 R\$3,359.46 reals in 2022
R\$5,000 reals in 2002 R\$16,797.3 reals in 2022
R\$10,000 reals in 2002 R\$33,594.59 reals in 2022
R\$50,000 reals in 2002 R\$167,972.96 reals in 2022
R\$100,000 reals in 2002 R\$335,945.93 reals in 2022
R\$500,000 reals in 2002 R\$1,679,729.64 reals in 2022
R\$1,000,000 reals in 2002 R\$3,359,459.28 reals in 2022
 Cumulative inflation From 2002 253.97% Avg. annual inflation From 2002 6.2% CPI 2002 43.98 CPI today 155.69

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

Period Value
2002 100
2003 114.71
2004 122.28
2005 130.68
2006 136.15
2007 141.11
2008 149.12
2009 156.41
2010 164.29
2011 175.19
2012 184.66
2013 196.12
2014 208.53
2015 227.36
2016 247.23
2017 255.75
2018 265.12
2019 275.02
2020 283.85
2021 307.42
2022 335.95
2023-08 352.55
Today 353.97

All available years

Today's value of brazilian reals by year:

1981 | 1982 | 1983 | 1984 | 1985 | 1986 | 1987 | 1988 | 1989 | 1990 | 1991 | 1992 | 1993 | 1994 | 1995 | 1996 | 1997 | 1998 | 1999 | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | 2020 | 2021 | 2022 |

Other currencies: