# Value of 1997 Brazilian Reals today

R\$100 in 1997

R\$391.34 in 2020

The inflation rate in Brazil between 1997 and today has been 291.34%, which translates into a total increase of R\$291.34. This means that 100 reals in 1997 are equivalent to 391.34 reals in 2020. In other words, the purchasing power of R\$100 in 1997 equals R\$391.34 today. The average annual inflation rate has been 5.85%.

## Inflation timeline in Brazil (1997-2020)

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 (1997-2020) 290.27%
Total Inflation* 291.34%
Annual inflation avg. (1997-2020) 6.1%
Annual inflation avg.* 5.85%
CPI 1997 31.63
CPI 2020 123.44
CPI today* 123.78
R\$1 in 1997 R\$3.9 in 2020

* 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 23 years between 1997 and 2020 and the average inflation rate has been 5.8497%. Therefore, we can resolve the formula like this:

FV = PV (1 + i)n = R\$100 * (1 + 0.06)23 = R\$390.27

#### 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 1997 was 31.63 and the CPI today is 123.78. Therefore,

Final value = Initial value *
CPI final/CPI initial
= R\$100 *
123.44/31.63
= R\$390.27

### Brazil inflation - Conversion table

Initial Value Equivalent value
R\$1 real in 1997 R\$3.91 reals today
R\$5 reals in 1997 R\$19.57 reals today
R\$10 reals in 1997 R\$39.13 reals today
R\$50 reals in 1997 R\$195.67 reals today
R\$100 reals in 1997 R\$391.34 reals today
R\$500 reals in 1997 R\$1,956.69 reals today
R\$1,000 reals in 1997 R\$3,913.39 reals today
R\$5,000 reals in 1997 R\$19,566.95 reals today
R\$10,000 reals in 1997 R\$39,133.9 reals today
R\$50,000 reals in 1997 R\$195,669.48 reals today
R\$100,000 reals in 1997 R\$391,338.97 reals today
R\$500,000 reals in 1997 R\$1,956,694.84 reals today
R\$1,000,000 reals in 1997 R\$3,913,389.68 reals today

Period Value
1997 100
1998 105.22
1999 106.97
2000 116.53
2001 123.49
2002 132.97
2003 149.63
2004 163.54
2005 175.97
2006 185.98
2007 191.83
2008 200.38
2009 212.2
2010 221.35
2011 234.43
2012 249.68
2013 264.26
2014 279.88
2015 297.81
2016 329.59
2017 350.32
2018 360.65
2019 374.15
2020 390.27
Today 391.34