Financial Modeling in Python

What is Financial Modeling in Python?

Financial Modeling in Python refers to the method that is used to build a financial model using high-level python programming language that has a rich collection of built-in data types. This language can be used for modification and analysis of excel spreadsheets as well as automation of certain tasks that exhibit repetition. Given that financial models use spreadsheets extensively, Python has become one of the most popular programming languages in the field of finance.

PPF Package for Python

The PPF package or library refers to the Python package that comprises a family of sub-packages. In other words, it is a mixture of various supporting extension modules that facilitate the implementation of Python programming. Please find below the summary of the various PPF sub-packages:
PPF Package for_Python

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Mathematical Tools for Python

Some of the major mathematical tools available in Python are as follows:

Financial Modeling in Python_1

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  1. N(.): It is a function in the ppf.math.special functions module that helps in the approximation of the standard normal cumulative distribution function, which is used in the Black–Scholes option pricing model.
  2. Interpolation: It is the process that is used to estimate the values of a function y(x) for arguments between several known data points (x0, y0), (x1, y1) . . . , (xn, yn). The ppf.utility.bound module is used in its implementation. Some of the variants of interpolation are:
    1. Linear interpolationLinear InterpolationIn Excel, linear interpolation refers to forecasting or guessing the next value of any given variable based on current data. To execute a linear interpolation in Excel, we use the forecast function and the lookup function to create a straight line that connects two values and estimates the future value through it.read more
    2. Loglinear interpolation
    3. Linear on zero interpolation
    4. Cubic spline interpolation
  3. Root Finding: It is used to find the root with or without derivative information using the ppf.math.root finding module. Some of the variants of root finding are:
    1. Bisection method
    2. Newton-Raphson method
  4. Linear Algebra: The linear algebra functions are mostly covered in the NumPy package. It is implemented using the ppf.math.linear-algebra module. Some of the variants of linear algebra are:
    1. Matrix Multiplication
    2. Matrix Inversion
    3. Matrix Pseudo-Inverse
    4. Solving Linear Systems
    5. Solving Tridiagonal Systems
  5. Generalized Linear Least Squares: It is the process that is used to fit a set of data points to a linear combination of some basic functions. The algorithms for this function are implemented using the ppf.math.generalized least squares module.
  6. Quadratic and Cubic Roots: These functions are used to find the real roots of a quadratic or cubic equation. The ppf.math.quadratic roots module is used to find the real roots of a quadratic equation, while the ppf.math.cubic roots module is used for the cubic roots algorithm.
  7. Integration: This tool is used to calculate the expected valueExpected ValueThe expected value formula depicts the possible value of an investment or asset in a future period. It is evaluated as the sum of the occurrence probabilities of all the random variables.read more of a function with random variables. It is primarily used in the calculation of financial payoffs. Some of the variants of integration are:
    1. Piecewise Constant Polynomial Fitting
    2. Piecewise Polynomial Integration
    3. Semi-analytic Conditional Expectations

Extending Python

There are certain limitations in Python that can be overcome with the extension modules using C. These extension modules can be used to add new built-in object types to Python and can call functions from the C library. A certain set of functions, macros, and variables available in Python API to support such extensions. The header ‘Python.h’ is included in a C source file for Python API.

Python Excel Integration

Some of the Python Excel integration tools that can be used to supercharge the existing excel functionality are as follows:

  • xlwings: This package can be used to move the backend processing from VBA to Python. After that, the users can continue using Excel seamlessly while using each control button to call Python scripts.
  • Jupyter Notebook: It allows users to leverage Python for creating interactive, shareable, and web-based documents that can contain visualizations, code, and text.
  • Pandas Library: It can be used to quickly load data from excel spreadsheets into SQL database or pandas DataFrames. In either case, data can be analyzed and explored swiftly.

Python Data Model

Objects are the underlying essence of a Python data model. All the data in a Python program is either represented by objects straightaway or by the relationship between objects. An object can be recognized by its identity, type, and value.

  1. Identity: It refers to the address of an object in the memory, and it never changes once created.
  2. Type: It defines the operations that an object supports along with the possible value for that object type.
  3. Value: The value of an object may change. The ones that change are known as mutable, while the unchangeable ones are known as immutable.

Misconceptions about Python

  • It is a pure scripting language as it uses simple syntax and cross-platform support.
  • It doesn’t have a compiler like other languages.
  • It lacks scalability, and as such, it can’t support any significantly large user base.
  • It is perceived to be very slow.
  • It doesn’t support concurrency.

Significance of Financial Modeling in Python

Python has grown to become one of the most popular programming languages used for financial modelingFinancial ModelingFinancial modeling refers to the use of excel-based models to reflect a company's projected financial performance. Such models represent the financial situation by taking into account risks and future assumptions, which are critical for making significant decisions in the future, such as raising capital or valuing a business, and interpreting their impact.read more. Companies nowadays seek innovative tools for handling large volumes of financial data in a much easier way and Python fits into that criteria perfectly.

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