Ph. Dybvig, DUSENBERRYS RATCHETING OF CONSUMPTION - OPTIMAL DYNAMIC CONSUMPTION AND INVESTMENT GIVEN INTOLERANCE FOR ANY DECLINE IN STANDARD-OF-LIVING, Review of Economic Studies, 62(2), 1995, pp. 287-313
Duesenberry's ratcheting consumption demand is derived as a feature of
the optimal dynamic consumption and investment policy given extreme h
abit formation that prevents consumption from falling over time. Prefe
rences are in effect non-time-separable extended-real-valued von Neuma
nn-Morgenstern preferences. Consumption increases each time wealth rea
ches a new maximum. Risky investment is proportional to the excess of
wealth over the perpetuity value of current consumption. Extensions co
nstrain the net rate of decrease in consumption with a constant other
than zero, add more consumption goods, and constrain on the maximal ho
lding of the risky asset as a proportion of wealth. These strategies m
ay be useful for the management of university endowments, participator
y investment accounts, and risky arbitrage funds.