This paper suggests a resolution to the paradox of inefficient risk be
aring by adjustable-rate mortgage (ARM) borrowers. The analysis shows
that when con tracts are written in a realistic way, with payments lin
ked across time via a common loan-rate function, risk sharing and the
tilt of the mortgage payment stream become inextricably linked. Unless
time preferences are identical or the cost of funds exhibits no time
trend, borrowers will accept interest-rate risk in order to gain a mor
e favorable time path of mortgage payments.