# Value of 2002 Brazilian Reals today

R\$100 in 2002

R\$307.23 in 2021

The inflation rate in Brazil between 2002 and today has been 207.23%, which translates into a total increase of R\$207.23. This means that 100 reals in 2002 are equivalent to 307.23 reals in 2021. In other words, the purchasing power of R\$100 in 2002 equals R\$307.23 today. The average annual inflation rate has been 5.77%.

## Inflation timeline in Brazil (2002-2021)

The following chart depicts the equivalence of R\$100 throughout the years due to 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 obtained by estimating figures from recent trends.

The following table contains relevant indicators:

Indicator Value
Total Inflation (2002-2021) 206.77%
Total Inflation* 207.23%
Annual inflation avg. (2002-2021) 6.08%
Annual inflation avg.* 5.77%
CPI 2002 42.06
CPI 2021 129.01
CPI today* 129.21
R\$1 in 2002 R\$3.07 in 2021

* Values extrapolated from the last official data to obtain today's values.

## 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 compound interest formula or the Consumer Price Index (CPI) formula.

#### Using the compound interest formula

Given that money changes with time as a result of an inflation rate that acts as a compound interest, the following formula can be used: 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 19 years between 2002 and 2021 and the average inflation rate has been 5.7726%. Therefore, we can resolve the formula like this:

FV = PV (1 + i)n = R\$100 * (1 + 0.06)19 = R\$306.77

#### Using the CPI formula

When the CPI for both start and end years is known, the following formula can be used:

Final value = Initial value *
CPI final/CPI initial

In this case, the CPI in 2002 was 42.06 and the CPI today is 129.21. Therefore,

Final value = Initial value *
CPI final/CPI initial
= R\$100 *
129.01/42.06
= R\$306.77

### Brazil inflation - Conversion table

Initial Value Equivalent value
R\$1 real in 2002 R\$3.07 reals today
R\$5 reals in 2002 R\$15.36 reals today
R\$10 reals in 2002 R\$30.72 reals today
R\$50 reals in 2002 R\$153.61 reals today
R\$100 reals in 2002 R\$307.23 reals today
R\$500 reals in 2002 R\$1,536.14 reals today
R\$1,000 reals in 2002 R\$3,072.28 reals today
R\$5,000 reals in 2002 R\$15,361.38 reals today
R\$10,000 reals in 2002 R\$30,722.76 reals today
R\$50,000 reals in 2002 R\$153,613.81 reals today
R\$100,000 reals in 2002 R\$307,227.62 reals today
R\$500,000 reals in 2002 R\$1,536,138.12 reals today
R\$1,000,000 reals in 2002 R\$3,072,276.24 reals today

Period Value
2002 100
2003 112.53
2004 123
2005 132.34
2006 139.87
2007 144.27
2008 150.7
2009 159.59
2010 166.47
2011 176.31
2012 187.78
2013 198.74
2014 210.49
2015 223.97
2016 247.88
2017 263.47
2018 271.23
2019 281.39
2020 293.51
2021 306.77
Today 307.23