Discover why options market data suggests a lower crash risk for U.S. stocks than pundit surveys, and how to optimize asset ...

Discover how tail risk impacts portfolios, why rare financial events matter, and strategies for safeguarding investments against significant, unexpected losses.

Interest Rate Probability Distributions Implied by Derivatives Prices is a daily measure of the distribution of future short-term interest rates, calculated from prices of fixed-income derivatives ...

Financial variance is the difference between budgeted and actual spending. Positive variance means spending less, negative indicates overspending. Regular monitoring reduces surprises and improves ...

EXCLUSIVE: Andrew Carlin, a 10-year veteran of Oscilloscope Laboratories, has joined Variance Films as co-head of theatrical distribution with Ryan Markowitz, a theatrical sales consultant exclusive ...

Millions of Americans take billions of dollars in early distributions each year. Early distributions—those taken before age 59 ½—are subject to a 10% additional tax or early distribution penalty.

Sampling from probability distributions with known density functions (up to normalization) is a fundamental challenge across various scientific domains. From Bayesian uncertainty quantification to ...

The continuous growth of renewable energy and the load level has posed increasingly severe operational risks to distribution systems. In view of this, this paper combines state estimation with risk ...

Sahil discussed the significance of statistical moments—mean, variance, and skew—in financial modeling. Using dice as an analogy, Sahil illustrated how normal distribution methods inform retail ...

Private foundations contribute a staggering $105.21 billion to public charities annually, representing $1 out of every $5 donated. Internal Revenue Code Section 4942 requires private nonoperating PFs ...