Weak instruments can produce biased IV estimators and hypothesis tests with large size distortions. But what, precisely, are weak instruments, and how does one detect them in practice? This paper proposes quantitative definitions of weak instruments based on the maximum IV estimator bias, or the...

During the financial crisis, life insurers sold long-term policies at deep discounts relative to actuarial value. The average markup was as low as -19 percent for annuities and -57 percent for life insurance. This extraordinary pricing behavior was due to financial and product market frictions,...

Liabilities ceded by life insurers to shadow reinsurers (i.e., less regulated and unrated off-balance-sheet entities) grew from $11 billion in 2002 to $364 billion in 2012. Life insurers using shadow insurance, which capture half of the market share, ceded 25 cents of every dollar insured to...

During the financial crisis, life insurers sold long-term policies at deep discounts relative to actuarial value. The average markup was as low as –19 percent for annuities and –57 percent for life insurance. This extraordinary pricing behavior was due to financial and product market...