The Relative Strength Index (RSI) is a versatile technical indicator that measures the magnitude of recent price changes to gauge overbought or oversold conditions in a security. It was developed by J. Welles Wilder in 1978 and remains widely used by traders today.
The 14-day RSI formula is calculated using the following steps:
RSI = 100 - 100 / (1 + RS)
where:
Let's consider the stock XYZ with the following daily closing prices:
Day | Closing Price | Gain/Loss |
---|---|---|
1 | $100.00 | N/A |
2 | $102.00 | $2.00 |
3 | $101.50 | -$0.50 |
4 | $103.00 | $1.50 |
5 | $102.50 | -$0.50 |
6 | $104.00 | $1.50 |
7 | $102.25 | -$1.75 |
8 | $100.50 | -$1.75 |
9 | $101.00 | $0.50 |
10 | $102.00 | $1.00 |
11 | $101.50 | -$0.50 |
12 | $103.00 | $1.50 |
13 | $102.50 | -$0.50 |
14 | $104.00 | $1.50 |
Average Gain: (2.00 + 1.50 + 1.50 + 1.50 + 0.50 + 1.00) / 14 = 1.14
Average Loss: (0.50 + 0.50 + 1.75 + 1.75 + 0.50 + 0.50) / 14 = 1.07
Relative Strength: 1.14 / 1.07 = 1.065
RSI: 100 - 100 / (1 + 1.065) = 51.67
The RSI formula has numerous applications in trading and technical analysis, including:
Sentiment Analysis: By analyzing the RSI values over time, traders can gain insights into the prevailing market sentiment. For instance, a persistently high RSI may indicate excessive bullishness, while a prolonged low RSI suggests excessive bearishness.
Volatility Assessment: The RSI formula can also be applied to volatility indices like the VIX to assess the level of market volatility. A high RSI in the VIX suggests elevated volatility, while a low RSI indicates lower volatility.
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