Journal of Banking and Finance 1 (1977) 207-218. © North-Holland Publishing Company
CAPITAL ADEQUACY AND THE REGULATION
OF FINANCIAL INTERMEDIARIES
Yehuda KAHANE*
School of Business, The Hebrew University, Jerusalem, Israel
I. Introduction
Financial intermediaries are subject to various forms of regulation, intended to
ensure their solvency. Commonly, regulators seek to achieve this goal by
imposing an upper bound on the intermediary's leverage (e.g. through the use of a
minimum capital requirement). Another regulatory means is by constraining the
composition of the intermediary's assets and liabilities portfolios.
The main purpose of this note is to examine the effectiveness of such regulatory
instruments in protecting the intermediary's solvency. The analysis is carried out
by first examining the relationships between the intermediary's opportunity
curve and the probability of ruin. In the second step, the effects of the regulatory
practices on the firm's opportunity set, and through it on the probability o~" ruin,
are discussed. A portfolio model, balancing the assets and liabilities o'f the
intermediary is used in calculating the distribution of the return on equity. This
single~period model follows recent developments in the economic literature--
especially Michaelsen and Goshay (1967), Krouse (1970), Parkin (!970,
Haugen and Kroncke (1970), Pyle (1971), Hart and Jaffee (1974) and Kahane and
Nye (1975).
It will be shown that constraining the portfolio composition of the
intermediary, per se, cannot generally be regarded as an effective means for
bounding the firm's probability of ruin; nor can the minimum capital
requirement, per se. However, the combination of these regulatory practices may
reach the desired effect.
2. Ruin
It is assumed that the purpose of the regulation of financial intermediaries is to
constrain the probability of their ruin, 'Ruin' is defined as the situation whereby
the firm's earnings fall below a certain level h. There is no clear definition for how
low should the earnings be (i.e. how extreme should the loss be) before being
*The paper was written while visiting at the University of Toronto. I am indebted to Professor
David Nve for very helpful discussions on the subject.