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# Inflation calculator - Brazilian Real

This tool is useful to calculate the time value of money based on historical inflation and CPI values. To start, select an amount and two years, or browse the default calculation results.

R\$100 in 1980
R\$59,874,800,768,334.97 in 2023

The inflation rate in Brazil between 1980 and 2023 was 59,874,800,768,234.98%, which translates into a total increase of R\$59,874,800,768,234.97. This means that 100 reals in 1980 are equivalent to 59,874,800,768,334.97 reals in 2023. In other words, the purchasing power of R\$100 in 1980 equals R\$59,874,800,768,334.97 in 2023. The average annual inflation rate between these periods was 87.88%.

## Inflation timeline in Brazil (1980 - 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.

The following table contains relevant indicators:

Indicator Value
Cumulative inflation from 1980 to 2023 59,874,800,768,234.98%
Avg. Annual inflation from 1980 to 2023 87.88%
CPI 1980 0
CPI 2023 154.55

## 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 1980 and 2023, use the corresponding CPI values:

Value2023
=Value1980 ×
CPI2023/CPI1980
=R\$ 100 ×
154.55/0
R\$59,874,800,768,334.97

### 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 43 years between 1980 and 2023 and the average inflation rate was 87.8838%. Therefore, we can resolve the formula like this:

Value2023
=PV × (1 + i)n
=R\$100 × (1 + 0.878838)43
R\$59,874,800,768,334.97

## Brazil inflation - Conversion table

Initial Value Equivalent value
R\$1 real in 1980 R\$598,748,007,683.35 reals in 2023
R\$5 reals in 1980 R\$2,993,740,038,416.75 reals in 2023
R\$10 reals in 1980 R\$5,987,480,076,833.5 reals in 2023
R\$50 reals in 1980 R\$29,937,400,384,167.48 reals in 2023
R\$100 reals in 1980 R\$59,874,800,768,334.97 reals in 2023
R\$500 reals in 1980 R\$299,374,003,841,674.81 reals in 2023
R\$1,000 reals in 1980 R\$598,748,007,683,349.62 reals in 2023
R\$5,000 reals in 1980 R\$2,993,740,038,416,748 reals in 2023
R\$10,000 reals in 1980 R\$5,987,480,076,833,496 reals in 2023
R\$50,000 reals in 1980 R\$29,937,400,384,167,484 reals in 2023
R\$100,000 reals in 1980 R\$59,874,800,768,334,968 reals in 2023
R\$500,000 reals in 1980 R\$299,374,003,841,674,880 reals in 2023
R\$1,000,000 reals in 1980 R\$598,748,007,683,349,760 reals in 2023
 Cumulative inflation 1980-2023 59,874,800,768,234.98% Avg. annual inflation 1980-2023 87.88% CPI 1980 0 CPI 2023 154.55

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

Period Value
1980 100
1981 201.73
1982 404.55
1983 950.8
1984 2,777.48
1985 9,054.3
1986 22,377.05
1987 73,471.95
1988 535,694.72
1989 8,200,007.28
1990 249,914,302.3
1991 1,331,509,868.02
1992 14,006,979,791.3
1993 283,974,800,535.88
1994 6,178,974,928,385.08
1995 10,257,530,898,826.35
1996 11,873,881,803,804.95
1997 12,696,351,183,922.31
1998 13,102,008,937,046.29
1999 13,738,562,339,655.8
2000 14,706,326,520,649.98
2001 15,712,290,491,971.46
2002 17,040,008,275,329.84
2003 19,547,429,340,073.45
2004 20,837,009,320,593.88
2005 22,268,416,676,804.21
2006 23,200,030,528,838.53
2007 24,044,807,656,694.7
2008 25,410,209,959,374.96
2009 26,652,272,655,071.41
2010 27,995,208,367,071.33
2011 29,853,093,524,399.45
2012 31,466,209,457,276.3
2013 33,418,466,692,959.71
2014 35,533,537,943,704.53
2015 38,742,180,859,348.08
2016 42,127,898,786,827.37
2017 43,579,800,756,712.3
2018 45,176,947,162,638.92
2019 46,863,394,295,446.34
2020 48,368,528,021,832.02
2021 52,383,922,614,818.3
2022 57,245,213,984,687.58
2023 59,874,800,768,334.97

All available years

Today's value of brazilian reals by year:

1980 | 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 | 2023 |

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