of Rs. 2,500,000 if the client dies before age 80. In case the client survives until age 80, which
would be the year 2065, the product pays a maturation benefit equal to the coverage amount. The
coverage amount is not necessarily constant: it may be increased via LIC’s “bonus” policy, which
the insurance company may declare if it earns profits. For the past several years, bonuses have
ranged from 6.6% to 7% of the original coverage amount of the insurance policy. Unlike interest or
dividends, these bonus payments are not paid to the client directly. Rather the bonus is added to
the notional coverage amount, paid in case of death of the client, or, at maturity. The insurance
company does not make any express commitment as to whether, and how much, bonus it will offer
in the future.
A critical point to be made here is that the bonus is not compounded.
4
Rather, the bonus
added is simply the amount of initial coverage, multiplied by the bonus fraction. For example,
if the company declares a 7% bonus each year, the amount of coverage offered by the policy will
increase by .07*2,500,000=Rs. 175,000 each year. Thus, after 55 years, when the policy matures,
its face value will be Rs. 2,500,000 + 55*175,000=Rs. 12,125,000.
If these 7 percent bonuses were in fact compounded, the policy would have a face value of Rs.
2,500,000*1.07ˆ55, or over Rs. 103 million, an amount more than eight times larger. Stango and
Zinman (2009) describe evidence from psychology and observed consumer behavior that individuals
have difficulty understanding exponential growth. Consumers who do not understand compound
interest may not appreciate how much more expensive whole life policies are.
A second feature of the two policies may be their relative attractiveness to naive, loss-averse
consumers. Agents frequently dismissed term insurance as an option, arguing that the customer
was likely to live at least twenty years, hence the premiums would be “lost” or “wasted,” while
with whole life the purchaser was guaranteed to get at least the nominal premium paid returned.
In Appendix Table 1, we evaluate the whole life insurance product by creating a replicating
4
It is somewhat surprising that an insurance company has not entered this market and won a substantial amount
of business by offering a whole insurance product that does pay compounded bonuses. In fact, there are some whole
life products that pay a compounded bonus (i.e. the bonus rate is applied to both the sum assured amount plus all
previously accumulated bonus); thus, it is not the case that the insurance industry is unaware that consumers might
like these products. Rather, it seems that it is not possible for an insurance company to win substantial amounts
of business by aggressively selling whole products that pay compounded bonuses. One explanation for this may be
that competition really occurs along the margin of selling effort, as opposed to the quality of the product. In this
case, the products that have highest sales incentives will sell, and any particular insurance firm will have an incentive
to pay the highest commissions on the highest profit products. We present a formal model along these lines that is
consistent with our empirical results later in this paper.
7