About Pi Trajectory Model

Founded on breakthrough mathematical research to transform business forecasting with scientific precision

The Founder

Piyoosh Rai - Founder & Chief Research Officer

Piyoosh combines advanced computer science training with mathematical modeling expertise to create breakthrough business intelligence solutions. With an MS in Computer Science from University of Denver, he identified the critical gap between academic mathematical frameworks and practical business forecasting - leading to the development of the Pi Trajectory Model.

His pioneering research adapting Nobel Prize-winning Black-Scholes theory for business milestone prediction represents the first comprehensive mathematical framework for strategic planning. This methodology has been published in peer-reviewed academic repositories, with empirical validation across 30+ companies demonstrating 83% predictive accuracy.

Piyoosh's unique combination of technical implementation skills and mathematical research expertise enables him to bridge the gap between theoretical innovation and practical enterprise applications.

Our Mission

Transform strategic decision-making from intuition to mathematical precision.

In an era of increasing business volatility and uncertainty, leaders need better tools than Excel hockey sticks and gut instinct. The Pi Trajectory Model replaces subjective forecasting with objective probability analysis, enabling data-driven strategic decisions through proven mathematical frameworks.

The Technology

Revolutionary Mathematical Framework

Black-Scholes Business Adaptation
The first application of Nobel Prize-winning option pricing theory to business milestone prediction, creating unprecedented accuracy in strategic forecasting.

Real-Time Intelligence Platform
Live probability updates every 10 minutes based on news sentiment analysis from NewsAPI and AlphaVantage market data, ensuring decisions reflect current market conditions.

Multi-Goal Composite Analysis
Simultaneous evaluation of revenue targets, user growth, and operational objectives with correlation-weighted probability scoring for comprehensive strategic insights.

Empirical Validation
83% AUC accuracy across retrospective testing, 81% AUC accuracy in prospective validation, demonstrating consistent performance across diverse industries and company stages.

Why Now

The business landscape has fundamentally changed. Traditional forecasting methods that worked in stable environments fail in today's volatile markets. Companies need mathematical frameworks that can:

Quantify uncertainty rather than ignore it
Adapt to changing conditions in real-time
Handle multiple objectives simultaneously
Provide objective confidence levels for strategic decisions

The Pi Trajectory Model addresses these critical needs with academically-validated methodology and proven real-world results.

Academic Foundation

Published Research

"The Pi Trajectory Model: A Dynamic Multi-Goal Framework for Predicting Business Milestone Probabilities in an Uncertain World"

51-page comprehensive methodology published on SSRN
Empirical validation across 30+ companies
Statistical performance metrics including Brier scores and ROC curves
Industry applications spanning technology, energy, healthcare, and consumer sectors

View Full Research Paper

Our Vision

Become the standard mathematical framework for business milestone prediction.

We envision a future where strategic planning is grounded in mathematical precision rather than subjective judgment. The Pi Trajectory Model represents the first step toward this vision, providing enterprise leaders with the tools to make confident, data-driven decisions in uncertain environments.

Contact

Ready to transform your strategic planning?

Email: info@pitrajectorymodel.com
Research: SSRN Publication