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 1956

€707.55 in 2019

The inflation rate in Luxembourg between 1956 and 2019 was 607.55%, which translates into a total increase of €607.55. This means that **100 euro in 1956 are equivalent to 707.55 euro in 2019**. In other words, the purchasing power of €100 in 1956 equals €707.55 in 2019. The average annual inflation rate between these periods was 3.15%.

The following chart depicts the equivalence of euro (Luxembourg) throughout the years 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 (EUR) 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 (1956-2019) | 607.55% |

Annual inflation avg. (1956-2019) | 3.15% |

CPI 1956 | 14.74 |

CPI 2019 | 104.32 |

€1 in 1956 | €7.08 in 2019 |

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.

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 2019 that equals €100 in 1956 in terms of purchasing power. There are 63 years between 1956 and 2019 and the average inflation rate was 3.1545%. Therefore, we can resolve the formula like this:

**FV = PV (1 + i) ^{n} = €100 * (1 + 0.031545)^{63} = €707.549729 ≈ €707.55**

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

Final value = Initial value *

CPI finalCPI initial

In this case, the CPI in 1956 was 14.74 and in 2019 was 104.32. Therefore,

Final value = Initial value *

CPI finalCPI initial

= €100 *
104.3214.74

= €707.55
Initial Value | Equivalent value | |
---|---|---|

€1 euro in 1956 | €7.08 euro in 2019 | |

€5 euro in 1956 | €35.38 euro in 2019 | |

€10 euro in 1956 | €70.75 euro in 2019 | |

€50 euro in 1956 | €353.77 euro in 2019 | |

€100 euro in 1956 | €707.55 euro in 2019 | |

€500 euro in 1956 | €3,537.75 euro in 2019 | |

€1,000 euro in 1956 | €7,075.5 euro in 2019 | |

€5,000 euro in 1956 | €35,377.49 euro in 2019 | |

€10,000 euro in 1956 | €70,754.97 euro in 2019 | |

€50,000 euro in 1956 | €353,774.86 euro in 2019 | |

€100,000 euro in 1956 | €707,549.73 euro in 2019 | |

€500,000 euro in 1956 | €3,537,748.65 euro in 2019 | |

€1,000,000 euro in 1956 | €7,075,497.29 euro in 2019 |

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