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You may find it hard to believe that an equation rooted in physics and mathematics could spawn multiple financial industry chains with a combined scale of trillions of dollars. Yet this is precisely t...
A Trillion-Dollar Mathematical Formula: From Physics Equations to Financial Option Pricing From Physics and Mathematics to Financial Markets You may find it hard to believe that an equation rooted in physics and mathematics could spawn multiple financial industry chains with a combined scale of trillions of dollars. Yet this is precisely the true story of modern financial history. The pricing theory and techniques of options have been profoundly shaped by mathematics, statistics, physics, and probability theory. By exploring this interdisciplinary frontier, we can not only trace the origins of option pricing but also glimpse how quantitative finance moved from theory to practice, ultimately transforming the functioning of global capital markets. The Concept of Options and Risk Management An option is a financial contract that grants the holder the "right, but not the obligation," to buy or sell an asset at a specified price in the future. Taking a European call option as an example: - The current underlying asset price is $S0$ - The strike price (exercise price) is $K$ - The maturity date is $T$ - If at maturity the underlying price $ST K$, the long option holder profits $\max(ST - K,0)$; - If $ST \leq K$, the long…
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