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.

R100 in 1958

R8,757.12 in 2018

The inflation rate in South Africa between 1958 and 2018 was 8,657.12%, which translates into a total increase of R8,657.12. This means that **100 rand in 1958 are equivalent to 8,757.12 rand in 2018**. In other words, the purchasing power of R100 in 1958 equals R8,757.12 in 2018. The average annual inflation rate between these periods was 7.74%.

The following chart ilustrates the equivalence of south african rand 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 (ZAR) 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 (1958-2018) | 8,657.12% |

Annual inflation avg. (1958-2018) | 7.74% |

CPI 1958 | 1.3 |

CPI 2018 | 113.91 |

R1 in 1958 | R87.57 in 2018 |

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 2018 that equals R100 in 1958 in terms of purchasing power. There are 60 years between 1958 and 2018 and the average inflation rate was 7.7389%. Therefore, we can resolve the formula like this:

**FV = PV (1 + i) ^{n} = R100 * (1 + 0.077389)^{60} = R8,757.123868 ≈ R8,757.12**

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 1958 was 1.3 and in 2018 was 113.91. Therefore,

Final value = Initial value *

CPI finalCPI initial

= R100 *
113.911.3

= R8,757.12
Initial Value | Equivalent value | |
---|---|---|

R1 rand in 1958 | R87.57 rand in 2018 | |

R5 rand in 1958 | R437.86 rand in 2018 | |

R10 rand in 1958 | R875.71 rand in 2018 | |

R50 rand in 1958 | R4,378.56 rand in 2018 | |

R100 rand in 1958 | R8,757.12 rand in 2018 | |

R500 rand in 1958 | R43,785.62 rand in 2018 | |

R1,000 rand in 1958 | R87,571.24 rand in 2018 | |

R5,000 rand in 1958 | R437,856.19 rand in 2018 | |

R10,000 rand in 1958 | R875,712.39 rand in 2018 | |

R50,000 rand in 1958 | R4,378,561.93 rand in 2018 | |

R100,000 rand in 1958 | R8,757,123.87 rand in 2018 | |

R500,000 rand in 1958 | R43,785,619.34 rand in 2018 | |

R1,000,000 rand in 1958 | R87,571,238.68 rand in 2018 |

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