You have just been informed that you have 2 years to live and are considering a night of debauchery to take your mind off the news. The consequence of such behavior is eternal damnation, beginning on the date of your death. One year of fire and brimstone is equal in unpleasantness to the loss of $P. The interest rate is r.
a. How pleasant would a night of sin have to be in order to be worth the cost?
b. Which is more likely to deter you from sinning: a doubling of the torments of the underworld, or a halving of the interest rate?