Inflation calculator - Colombian Peso

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.

$100 in 1971

$81,676.52 in 2018

The inflation rate in Colombia between 1971 and 2018 was 81,576.52%, which translates into a total increase of $81,576.52. This means that 100 pesos in 1971 are equivalent to 81,676.52 pesos in 2018. In other words, the purchasing power of $100 in 1971 equals $81,676.52 in 2018. The average annual inflation rate between these periods was 15.33%.

Inflation timeline in Colombia (1971 - 2018)

The following chart ilustrates the equivalence of colombian pesos throughout the years due to compound inflation and CPI changes. All values are equivalent in terms of purchashing 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 (COP) and using 6 decimal digits. Results show only up to 2 decimal digits to favour readability.

The following table contains relevant indicators:

Indicator Value
Total Inflation (1971-2018) 81,576.52%
Annual inflation avg. (1971-2018) 15.33%
CPI 1971 0.14
CPI 2018 113.27
$1 in 1971 $816.77 in 2018

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

Using the compound interest formula

Given that money changes in 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, the future value is the amount in 2018 that equals $100 in 1971 in terms of purchasing power. There are 47 years between 1971 and 2018 and the average inflation rate was 15.3346%. Therefore, we can resolve the formula like this:

FV = PV (1 + i)n = $100 * (1 + 0.153346)47 = $81,676.519938 ≈ $81,676.52

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 1971 was 0.14 and in 2018 was 113.27. Therefore,

Final value = Initial value *
CPI final/CPI initial
= $100 *
113.27/0.14
= $81,676.52

Colombia inflation - Conversion table

Initial Value Equivalent value
$1 peso in 1971 $816.77 pesos in 2018
$5 pesos in 1971 $4,083.83 pesos in 2018
$10 pesos in 1971 $8,167.65 pesos in 2018
$50 pesos in 1971 $40,838.26 pesos in 2018
$100 pesos in 1971 $81,676.52 pesos in 2018
$500 pesos in 1971 $408,382.6 pesos in 2018
$1,000 pesos in 1971 $816,765.2 pesos in 2018
$5,000 pesos in 1971 $4,083,826 pesos in 2018
$10,000 pesos in 1971 $8,167,651.99 pesos in 2018
$50,000 pesos in 1971 $40,838,259.97 pesos in 2018
$100,000 pesos in 1971 $81,676,519.94 pesos in 2018
$500,000 pesos in 1971 $408,382,599.69 pesos in 2018
$1,000,000 pesos in 1971 $816,765,199.38 pesos in 2018

Value of Peso in time (by year)

Period Value
1971 100
1972 117.65
1973 129.41
1974 164.71
1975 205.88
1976 241.18
1977 305.88
1978 394.12
1979 470.59
1980 600
1981 758.82
1982 958.82
1983 1,188.24
1984 1,388.24
1985 1,641.18
1986 2,011.77
1987 2,429.41
1988 3,011.77
1989 3,864.71
1990 4,870.59
1991 6,447.06
1992 8,176.47
1993 10,235.3
1994 12,547.06
1995 15,382.36
1996 18,376.48
1997 22,352.95
1998 26,305.89
1999 30,694.13
2000 33,529.42
2001 36,464.72
2002 39,252.95
2003 42,000.02
2004 44,723.54
2005 47,182.36
2006 49,470.6
2007 51,688.25
2008 54,629.42
2009 58,823.55
2010 60,000.02
2011 61,905.9
2012 64,211.79
2013 65,776.49
2014 67,047.08
2015 69,500.02
2016 74,205.92
2017 78,470.62
2018 81,676.52