# Value of 2013 South African Rand today

R100 in 2013

R141.82 in 2020

The inflation rate in South Africa between 2013 and today has been 41.82%, which translates into a total increase of R41.82. This means that 100 rand in 2013 are equivalent to 141.82 rand in 2020. In other words, the purchasing power of R100 in 2013 equals R141.82 today. The average annual inflation rate has been 4.46%.

## Inflation timeline in South Africa (2013-2020)

The following chart depicts the equivalence of R100 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 (ZAR) 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 (2013-2020) 41.7%
Total Inflation* 41.82%
Annual inflation avg. (2013-2020) 5.1%
Annual inflation avg.* 4.46%
CPI 2013 87.31
CPI 2020 123.72
CPI today* 123.83
R1 in 2013 R1.42 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 R100 worth today. There are 7 years between 2013 and 2020 and the average inflation rate has been 4.4646%. Therefore, we can resolve the formula like this:

FV = PV (1 + i)n = R100 * (1 + 0.04)7 = R141.7

#### 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 2013 was 87.31 and the CPI today is 123.83. Therefore,

Final value = Initial value *
CPI final/CPI initial
= R100 *
123.72/87.31
= R141.7

### South Africa inflation - Conversion table

Initial Value Equivalent value
R1 rand in 2013 R1.42 rand today
R5 rand in 2013 R7.09 rand today
R10 rand in 2013 R14.18 rand today
R50 rand in 2013 R70.91 rand today
R100 rand in 2013 R141.82 rand today
R500 rand in 2013 R709.12 rand today
R1,000 rand in 2013 R1,418.25 rand today
R5,000 rand in 2013 R7,091.25 rand today
R10,000 rand in 2013 R14,182.49 rand today
R50,000 rand in 2013 R70,912.46 rand today
R100,000 rand in 2013 R141,824.92 rand today
R500,000 rand in 2013 R709,124.61 rand today
R1,000,000 rand in 2013 R1,418,249.22 rand today

Period Value
2013 100
2014 105.24
2015 110.86
2016 116.6
2017 124.84
2018 130.46
2019 136.2
2020 141.7
Today 141.82