Approaches to Determining Optimal Asset Structure for a Commercial Bank

Every commercial bank optimises its asset portfolio depending on the profitability of assets and chosen or imposed constraints. This paper proposes and applies a stylized model for optimising banks' asset and liability structure, reflecting profitability of different asset categories and their risks as well as costs associated with different liability categories and reserve requirements. The level of detail for asset and liability categories is chosen to create a suitably parsimonious model and to include the most important categories in the model. It is shown that the most appropriate optimisation criterion for the model is the maximisation of the ratio of net interest income to assets. The maximisation of this ratio is subject to several constraints. Some are accounting identities or dictated by legislative requirements; others vary depending on the market objectives for a particular bank. The model predicts variable amount of assets allocated to loan provision.




References:
[1] Pale D.H. On the Theory of Financial Intermediation, Journal of
Finance, September, 1977, p. 262
[2] Sealy C.W. and Lindley J.T. Inputs, Outputs and Theory of production
and Cost at Depository Financial Institutions, Journal of Finance,
September, 1977, p. 289-314.
[3] Klein M. A. A theory of the Banking Firm. Journal of Money, Credit and
Banking, May, 1971, p. 241-253.
[4] Sealy C.W., Deposit Rate Setting, Risk Aversion, and the Theory of
Depository Financial Intermediates. Journal of Finance, December,
1980. p. 345-360.
[5] Baltensperger E. Alternative Approaches to the Theory of the Banking
Firm, Journal of Monetary Economics, January, 1971, p. 205-218.
[6] Frolova L. Ekonomisko procesu matemātiskā modelēšana, Rīga, Turība,
2003.
[7] ðñðÁÐéð©Ðüð¥ð▓ ðô.ðô. ðúÐüÐéð¥ð╣Ðçð©ð▓ð¥ÐüÐéÐî ð║ð¥ð╝ð╝ðÁÐÇÐçðÁÐüð║ð¥ð│ð¥ ð▒ð░ð¢ð║ð░ ð© ÐÇðÁð╣Ðéð©ð¢ð│ð¥ð▓ÐïðÁ
Ðüð©ÐüÐéðÁð╝Ðï ðÁðÁ ð¥ÐåðÁð¢ð║ð©. ð£ð¥Ðüð║ð▓ð░.ðñð©ð¢ð░ð¢ÐüÐï ð© ÐüÐéð░Ðéð©ÐüÐéð©ð║ð░.1999.
[8] Saksonova S. Commercial Banks in Latvia and the Questions of
Creating optimum Asset Portfolio in the Circumstances of Decreasing
Profitibility of financial instruments, Finance, Publishing house
"Abagar", Veliko Tarnovo, 2002, p.797-813
[9] Saksonova S. Classification, the Principles of Creation and the Problems
of Accounting Commercial Banks- Assets, Proceedings, Topical
financial problems in transition economies, Tartu, 2001, p. 191-196.
[10] Kane E.J., Malkiel Burton G. Bank Portfolio Allocation. Deposit
Variability and the Availability Doctrine. Quartely Journal of
Economics, February, 1965. p. 113-134.