Financial institutions provide their customers a variety of unpriced services and cover their costs through interest margins - the interest rates they receive on assets are generally higher than the rates they pay on liabilities. In particular, banks pay below-public-market interest rates on...

Rather than charging direct fees, banks often charge implicitly for their services via interest spreads. As a result, much of bank output has to be estimated indirectly. In contrast to current statistical practice, dynamic optimizing models of banks argue that compensation for bearing systematic...