The imbalanced, yet mutually beneficial, trading relationship between the United States and Asia has long been one of international finance’s most perplexing mysteries. Although the United States continues to post a substantial trade deficit—and China reaps the benefits of a surplus—the...

Despite its success, the Black-Scholes formula has become increasingly unreliable over time in the very markets where one would expect it to be most accurate. In addition, attempts by financial economists to extract probabilistic information from option prices have been puny in comparison to...