Ibbotson Associates, Inc.

Qwema Group, Inc.

Moshe A Milevsky

Huaxiong Huang

Peng Chen

A method, system, and medium for recommending an optimal withdrawal amount, for a given period, from a retiree's portfolio accounts comprised of relatively risky and relatively safe financial assets used to finance retirement. The user supplies information about the retiree's personal characteristics, including age, gender, and health status. Details of the retiree's financial situation are also supplied, including the retiree's total liquid wealth, the current value of relatively risky and relatively safe assets, and any after-tax pension and other annuity income. Risk (standard deviation of return), return (expected rate of return based on a lognormal or other random distribution), or other measurable differentiating characteristics are retrieved for a portfolio comprised of relatively risky assets. A valuation rate is also retrieved. Based on these inputs, an actuarial discount rate is computed, an optimal wealth depletion time is located, and the optimal withdrawal amount is computed and displayed to the user.

Optimal portfolio withdrawal during retirement in the presence of longevity risk

A method, system and medium for optimally allocating investment assets for a given investor within and between annuitized assets and non-annuitized assets retrieves an investor's utility of consumption, utility of bequest, objective and subjective probabilities of survival and expected rates of return from each of a plurality of annuity and nonannuity assets having varying degrees of risk and return. Based on these inputs, an objective utility function is maximized by adjusting the asset allocation weights. The optimal asset allocation weights may be used to allocate the assets of the investor's portfolio among predetermined investment vehicles or as an analytical tool by portfolio managers.

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Toronto, Canada

Moshe A Milevsky