When a company is growing 10x or 50x year-over-year, obsessing over the entry multiple is a mistake. An initially 'insane' valuation can look cheap in retrospect. The primary focus should be on determining if the company is on an exponential curve; price is the least important factor in that equation.

The old PE model is obsolete in software. With high revenue multiples (7-8x) and low leverage (30% debt), firms must genuinely grow the business to generate returns. About two-thirds of value now comes from selling a larger, more profitable company (terminal value), not from stripping cash flow.

A fast-growing, break-even SaaS is often more valuable than a slow-growing, highly profitable one. Buyers, especially private equity, prioritize growth because it's the clearest path to achieving their 3-5x return target. They can optimize for profit later; restarting growth is significantly harder.

Dara Khosrowshahi's M&A experience taught him that great acquisitions often seem overpriced. Markets value companies on linear projections, but transformative companies grow exponentially. The key is to pay for the unseen "hockey stick" growth curve that the market misses, meaning you will always overpay relative to current sentiment.

Contrary to the belief that a low P-E ratio is always better, a high ratio can signify a 'growth stock.' This indicates investors are willing to pay more because the company is reinvesting its earnings into future growth, betting on higher profitability over time.

Contrary to popular belief, the underlying business fundamentals (sales, profits) of value and growth indexes have grown at nearly the same rate this century. The vast performance gap is not due to better business results but rather investors' willingness to pay increasingly higher multiples for growth stocks.

Public market investors systematically underestimate sustained high growth (e.g., 60%+), defaulting to models that assume rapid deceleration. This creates an opportunity for private investors with longer time horizons to more accurately value these companies.

Financial models struggle to project sustained high growth rates (>30% YoY). Analysts naturally revert to the mean, causing them to undervalue companies that defy this and maintain high growth for years, creating an opportunity for investors who spot this persistence.

Investors instinctively value the distant future cash flows of elite compounding businesses higher than traditional financial models suggest. This phenomenon, known as hyperbolic discounting, helps explain why these companies consistently command premium multiples, as the market behaves more aligned with this model than standard exponential discounting.