Trend Angle

Introduction:

In today's post, we'll dive deep into the source code of a unique trading tool, the Trend Angle Indicator. The script is an indicator that calculates the trend angle for a given financial instrument. This powerful tool can help traders identify the strength and direction of a trend, allowing them to make informed decisions.

Overview of the Trend Angle Indicator:

The Trend Angle Indicator calculates the trend angle based on the slope of the price movement over a specified period. It uses an Exponential Moving Average (EMA) to smooth the data and an Epanechnikov kernel function for additional smoothing. The indicator provides a visual representation of the trend angle, making it easy to interpret for traders of all skill levels.

Let's break down the key components of the script:

Inputs:

Length: The number of periods to calculate the trend angle (default: 8)
Scale: A scaling factor for the ATR (Average True Range) calculation (default: 2)
Smoothing: The smoothing parameter for the Epanechnikov kernel function (default: 2)
Smoothing Factor: The radius of the Epanechnikov kernel function (default: 1)
Functions:

ema(): Exponential Moving Average calculation
atan2(): Arctangent function
degrees(): Conversion of radians to degrees
epanechnikov_kernel(): Epanechnikov kernel function for additional smoothing
Calculations:

atr: The EMA of the True Range
slope: The slope of the price movement over the given length
angle_rad: The angle of the slope in radians
degrees: The smoothed angle in degrees
Plotting:

Trend Angle: The trend angle, plotted as a line on the chart
Horizontal lines: 0, 90, and -90 degrees as reference points
How the Trend Angle Indicator Works:

The Trend Angle Indicator begins by calculating the Exponential Moving Average (EMA) of the True Range (TR) for a given financial instrument. This smooths the price data and provides a more accurate representation of the instrument's price movement.

Next, the indicator calculates the slope of the price movement over the specified length. This slope is then divided by the scaled ATR to normalize the trend angle based on the instrument's volatility. The angle is calculated using the atan2() function, which computes the arctangent of the slope.

The final step in the process is to smooth the trend angle using the Epanechnikov kernel function. This function provides additional smoothing to the trend angle, making it easier to interpret and reducing the impact of short-term price fluctuations.

Conclusion:

The Trend Angle Indicator is a powerful trading tool that allows traders to quickly and easily determine the strength and direction of a trend. By combining the Exponential Moving Average, ATR, and Epanechnikov kernel function, this indicator provides an accurate and easily interpretable representation of the trend angle. Whether you're an experienced trader or just starting, the Trend Angle Indicator can provide valuable insights into the market and help improve your trading decisions.