# Value of 1990 Brazilian Reals today

R\$100 in 1990

R\$165,197,525.41 in 2020

The inflation rate in Brazil between 1990 and today has been 165,197,425.41%, which translates into a total increase of R\$165,197,425.41. This means that 100 reals in 1990 are equivalent to 165,197,525.41 reals in 2020. In other words, the purchasing power of R\$100 in 1990 equals R\$165,197,525.41 today. The average annual inflation rate has been 58.7%.

## Inflation timeline in Brazil (1990-2020)

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 (1990-2020) 164,744,181.02%
Total Inflation* 165,197,425.41%
Annual inflation avg. (1990-2020) 61.15%
Annual inflation avg.* 58.7%
CPI 1990 0
CPI 2020 123.44
CPI today* 123.78
R\$1 in 1990 R\$1,647,442.81 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 30 years between 1990 and 2020 and the average inflation rate has been 58.7014%. Therefore, we can resolve the formula like this:

FV = PV (1 + i)n = R\$100 * (1 + 0.59)30 = R\$164,744,281.02

#### 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 1990 was 0 and the CPI today is 123.78. Therefore,

Final value = Initial value *
CPI final/CPI initial
= R\$100 *
123.44/0
= R\$164,744,281.02

### Brazil inflation - Conversion table

Initial Value Equivalent value
R\$1 real in 1990 R\$1,651,975.25 reals today
R\$5 reals in 1990 R\$8,259,876.27 reals today
R\$10 reals in 1990 R\$16,519,752.54 reals today
R\$50 reals in 1990 R\$82,598,762.71 reals today
R\$100 reals in 1990 R\$165,197,525.41 reals today
R\$500 reals in 1990 R\$825,987,627.06 reals today
R\$1,000 reals in 1990 R\$1,651,975,254.13 reals today
R\$5,000 reals in 1990 R\$8,259,876,270.63 reals today
R\$10,000 reals in 1990 R\$16,519,752,541.25 reals today
R\$50,000 reals in 1990 R\$82,598,762,706.26 reals today
R\$100,000 reals in 1990 R\$165,197,525,412.52 reals today
R\$500,000 reals in 1990 R\$825,987,627,062.6 reals today
R\$1,000,000 reals in 1990 R\$1,651,975,254,125.19 reals today

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

Period Value
1990 100
1991 1,720.97
1992 9,855.97
1993 120,154.21
1994 3,096,551.26
1995 31,475,202.2
1996 38,528,214.5
1997 42,213,410.57
1998 44,418,786.54
1999 45,153,898.51
2000 49,190,561.35
2001 52,129,501.11
2002 56,129,621.23
2003 63,162,813.98
2004 69,037,290.13
2005 74,283,773.32
2006 78,509,943.14
2007 80,976,350
2008 84,585,991.51
2009 89,578,877.83
2010 93,441,208.66
2011 98,962,349.52
2012 105,398,219.58
2013 111,551,997.97
2014 118,145,476.87
2015 125,715,612.74
2016 139,133,278.17
2017 147,881,910.15
2018 152,240,610.74
2019 157,942,903.66
2020 164,744,281.02
Today 165,197,525.41