We solve the problem of an insurer who decides to optimally allocate a proportion (1-a(t)) of premiums to a re-insurance company (thereby retaining a proportion a(t) of premiums) and who also has to optimally pay dividends c(t) at any time t to shareholders. If the insurer's reserve x(t) is a...

Sector investing aims to guide investors in identifying undervalued securities. Knowing which sectors flourish at different phases of the business cycle, investment returns may be boosted by increasing holdings in securities from strengthening sectors and reducing holdings in weakening ones. As...

Quantifiable, measurable risk is of critical importance when making data-driven decisions in finance and investment management, but what if the generally accepted practice of the investment industry for calculating risk possessed incorrect mathematical assumptions and embedded biases? This piece...