Description: This study is designed to analyze new planning approaches and strategies that combine SPIAs with other techniques to create retirement income synergies. Using historical scenarios, it evaluates how different retirement income strategies hypothetically would have met four separate client goals: sustainable income, liquidity, accessibility and legacy. This report summarizes study findings and includes “planning points” to help readers interpret the study data.

Description: Diverse Risks 2016 Call for Essays

Description: This paper reviews the need for longevity insurance during retirement, and then establishes a framework to study the total asset allocation decision in retirement, which includes both conventional asset classes and immediate payout annuity products.

Description: Contains two separate articles, called notes. The first note, “A note on correlation in mean variance portfolio theory,” is an elementary discussion of how negative correlation coefficients can be, given any set of N random variables. The second note, “Two essential formulas in actuarial science and financial mathematics,” gives a more or less self-contained introduction to Jensen’s inequality and to another formula, which the author decided to call the “survival function expectation formula.”