The Cox, Ross, and Rubinstein binomial model is generalized to the multinomial case. Limits are investigated and shown to yield the Black-Scholes formula in the case of continuous sample paths for a wide variety of complete market structures. In the discontinuous case a Merton-type formula is...

Investors in equilibrium are modeled as facing investor specific risks across the space of assets. Personalized asset pricing models reflect these risks. Averaging across the pool of investors we obtain a market asset pricing model that reflects market risk exposures. It is observed on invoking...

Contingent claims with payoffs depending on finitely many asset prices are modeled as elements of a separable Hilbert space. Under fairly general conditions, including market completeness, it is shown that one may change measure to a reference measure under which asset prices are Gaussian and...

European call options are priced when the uncertainty driving the stock price follows the V. G. stochastic process (Madan and Seneta 1990). The incomplete markets equilibrium change of measure is approximated and identified using the log return mean. variance, and kurtosis. An exact equilibrium...

This paper establishes a theoretical model to examine the LOLR policy when a central bank cannot distinguish between solvent and insolvent banks. We study two cases: a case where the central bank cannot screen insolvent banks and a case where the central bank can only imperfectly screen...

This paper studies contagion and market freezes caused by uncertainty in financial network structures and provides theoretical guidance for central banks. We establish a formal model to demonstrate that, in a financial system where financial institutions are interconnected, a negative shock to...

When a central bank implements the LOLR policy in a financial crisis, bank creditors often infer a bank's quality from whether or not it borrows from the central bank. We establish a formal model to study the optimal LOLR policy in the presence of this signaling effect, assuming that the central...

This paper is aimed at providing advice to young Australian Politicians and Policy Analysts. The paper explains common dangers in policy formulation and implementation. It also explains the usual political pressures that distort policy formulation and common sources of policy failures.

The conventional discussion of the international financial crisis that erupted in the summer of 2007 is that few professional economists saw it coming, nor anticipated its ferocity in devastating the US and European economies and financial systems, leading to civil unrest and fears of greater...

This paper provides an overview of the higher education sector in Canada, so it can serve as a comparison to that in Australia. It seeks to identify stresses and challenges to this sector in Canada. The study also seeks to offer possible lessons for the direction of higher education policy in...