This article is about computation of cattle insurance premium for financial losses of farmers due to Tiger attacks in the Corbett Reserve National Park. These types of calculations are basic for an insurance company to price the products optimally.
This article is based on one of the CAST (Certificate in Actuarial Software Techniques) project. The project can be viewed from the link below:
Linear regression model to compute insurance premium
This project is a part of CAST Level 1. Participant needs to estimate insurance premium using a linear regression model and equations of value.
As per the given business problem, there are various villages where farmers are suffering from livestock/cattle losses due to tiger attacks. Therefore, they plan to insure themselves through an insurance for their cattle in order to minimize the financial loss. Being an actuarial aspirant and data science lover, I have tried to calculate the amount which is required to purchase the insurance. I have used Python and Jupyter for this project.
In this Article, we learn to calculate premium for the financial losses of Farmers due to tiger attacks using Python language. It includes several steps of coding.
- Import Libraries
- Import Datasets
- Model (probability of killing)
- Build Regression Model (Intercept and Coefficient)
- Predict the Probabilities
- Calculate the Expected Loss
- Graph of Expected Loss
- Calculation of Premium
- Open Jupiter notebook in Anaconda Navigator
- Import libraries
Build Regression Model
Now, we build the regression model.
Where “a” represent the intercept and “b” denotes the coefficient.
Predict the Probabilities
After computing the linear regression model we use these values to predict the probabilities in dataset SIGHTS, where we define our own function to predict the Probability.
Calculate the Expected Loss
Using probabilities and data we compute the figure of expected loss
Graph of Expected Loss
Calculation of Premium
Finally, we compute the premium, it involves two calculations:
- Consolidated Expected Present Value
Where B is the consolidated EPV of losses and P is the premium.
Consolidated Expected Present Value
In this article, we have covered the process of pricing an insurance product for farmers. In the same way, we can compute the premium for other insurance products. Also, using the annuity functions, we can calculate annuity contracts as well. Thanks!