We employ a life-cycle model with income risk to analyze how tax-deferred individual accounts affect households' savings for retirement. We consider voluntary accounts as opposed to mandatory accounts with minimum contribution rates. We contrast add-on accounts with carve-out accounts that...

We study the effect on savings of an increase in the capital risk of the investment opportunities when the representative consumer is allowed to optimally choose her portfolio. Sandmo (1970) and Levhari and Srinivasan (1969) prove that individuals with high risk-aversion and time-separable,...

We analyse life-cycle saving decisions when households use simple heuristics, or rules of thumb, rather than solve the underlying intertemporal optimization problem. We simulate life-cycle saving decisions using three simple rules and compute utility losses relative to the solution of the...

Buffer-stock models of saving are now standard in the consumption literature. This paper builds theoretical foundations for rigorous understanding of the main features of such models, including the existence of a target wealth ratio and the proposition that aggregate consumption growth equals...

We analyse life-cycle saving decisions when households use simple heuristics, or rules of thumb, rather than solve the underlying intertemporal optimization problem. We simulate life-cycle saving decisions using three simple rules and compute utility losses relative to the solution of the...

"Buffer-stock" models of saving are now standard in the consumption literature. This paper builds theoretical foundations for rigorous understanding of the main features of such models, including the existence of a target wealth ratio and the proposition that aggregate consumption growth equals...

We compile, generalize and extend the results about the comparative static effects of risk changes on optimal risk-reduction and saving behavior. We use the time-separable discounted expected-utility model and consider income risk, inflation risk, and interest rate risk. For each type of risk,...

This paper considers the lifetime asset allocation problem with both idiosyncratic and systematic longevity risks, in which the stochastic mortality model is given by a general diffusion process. A wage earner can invest in a zero-coupon bond, a stock and a longevity bond, consume part of his...

This Chapter explores how an environment of persistent low returns influences saving, investing, and retirement behaviors, as compared to what in the past had been thought of as more "normal" financial conditions. Our calibrated lifecycle dynamic model with realistic tax, minimum distribution,...

A deferred annuity typically includes an option-like right for the policyholder. At the end of the deferment period, he may either choose to receive annuity payouts, calculated based on a mortality table agreed to at contract inception, or receive the accumulated capital as a lump sum....