Risk Return Tradeoff

Key takeaways – The risk–return tradeoff states that higher expected returns require accepting higher risk; lower risk generally leads to lower expected returns. –…

Risk Neutral

Key takeaways – “Risk neutral” describes either a behavioral attitude (an individual indifferent to risk) or a mathematical pricing concept (a probability measure under…

Risk Measures

Introduction Risk measures are statistical tools investors use to quantify how much uncertainty or potential loss an investment may carry. They are central to…

Risk Free Asset

Summary – A risk‑free asset is an asset whose future nominal cash flows are essentially certain and for which the chance of default is…

Risk Adjusted Return

Why this matters – Returns alone don’t tell the whole story. Two investments can produce the same nominal return while exposing investors to very…

Risk Profile

• A risk profile describes the types and amounts of financial risk a person or organization is willing and able to accept. – For…

Risk Parity

Risk parity is a portfolio-construction approach that allocates capital by risk contribution rather than by dollar or percentage-of-capital allocations. The goal is to equalize…

Risk On Risk Off

Risk‑on / risk‑off describes how shifts in investors’ appetite for risk drive market behavior. In a risk‑on environment, investors are more willing to buy…

Risk Neutral Probabilities

Risk‑neutral probabilities (also called the risk‑neutral measure or equivalent martingale measure) are a mathematical reweighting of future outcomes that “remove” investors’ risk preferences so…

Risk Neutral Measures

A risk‑neutral measure (also called an equivalent martingale measure or equilibrium measure) is a probability measure used in mathematical finance under which the discounted…