Pete Rathburn is a copy editor and fact-checker with expertise in economics and personal finance and over twenty years of experience in the classroom. Getty Images / Monty Rakusen Analysts can assess ...

Will Kenton is an expert on the economy and investing laws and regulations. He previously held senior editorial roles at Investopedia and Kapitall Wire and holds a MA in Economics from The New School ...

Planning for retirement is full of uncertainties. How long will you live? Will the markets behave? How will inflation affect ...

Monte Carlo simulations predict investment risks and returns using computer models. They enable investors to assess outcomes under various market conditions. Accessible tools like online calculators ...

As a financial advisor, I’ve had the pleasure of helping many clients comfortably reach and enjoy their retirement years. During my career, a few consistent themes have emerged. Clients generally want ...

One of the classic approaches to studying retirement withdrawal rates is to use Monte Carlo simulations that are parameterized to the same historical data as used in historical simulations. This can ...

Important events sometimes occur with too little notice. Occasionally, even a monumental development can escape adequate attention. An example of this occurred on Jan. 9. That day saw a historic ...

How might you go about using Monte Carlo simulations for your retirement plan? Well, first you need to understand what Monte Carlo is and what it isn’t. According to Dana Anspach, CFP, RMA, the ...

Given the high-stakes nature of income planning, it's tragic that a significant segment of the financial advisor community embraces an income-generation methodology—the systematic withdrawal plan (SWP ...

Brief review of conditional probability and expectation followed by a study of Markov chains, both discrete and continuous time. Queuing theory, terminology, and single queue systems are studied with ...

Bob’s financial advisor just ran a “Monte Carlo analysis” for him.What’s a “Monte Carlo analysis”?It’s a tool used to test how a person’s retirement savings and plan would hold up given a variety of ...