Flows of stochastic dynamical systems: ergodic theory

A Carverhill - Stochastics: An International Journal of Probability …, 1985 - Taylor & Francis
We present a version of the Multiplicative Ergodic (Oseledec) Theorem for the flow of a nonlinear
stochastic system definedon a smooth compact manifold. This theorem establishes the …

Corporate liquidity and capital structure

RW Anderson, A Carverhill - The Review of Financial Studies, 2012 - academic.oup.com
We solve for a firm's optimal cash holding policy within a continuous time, contingent claims
framework using dividends, short-term borrowing, and equity issues as controls assuming …

When is the short rate Markovian?

A Carverhill - Mathematical Finance, 1994 - Wiley Online Library
We answer this question in the very general context of the n‐factor Heath, Jarrow, and Morton
model for the evolution of the term structure of interest rates, with nonrandom volatility. the …

Quasi mean reversion in an efficient stock market: the characterisation of economic equilibria which support Black-Scholes option pricing

S Hodges, A Carverhill - The Economic Journal, 1993 - academic.oup.com
This paper is concerned with the behaviour of the risk premium on the market portfolio of
risky assets. It provides a characterisation for the evolution of the market risk premium in a …

[PDF][PDF] Flows of stochastic dynamical systems: the functional analytic approach

AP Carverhill, KD Elworthy - Zeitschrift für Wahrscheinlichkeitstheorie …, 1983 - academia.edu
1.1. Aims Many results about the flows of stochastic dynamical systems on compact manifolds
M may be proved easily by considering the infinite dimensional manifold NS (M) of H s …

The case for a sociology of dying, death, and bereavement

N Thompson, J Allan, PA Carverhill, GR Cox… - Death studies, 2016 - Taylor & Francis
Dying, death, and bereavement do not occur in a social vacuum. How individuals and groups
experience these phenomena will be largely influenced by the social context in which they …

Furstenberg's theorem for nonlinear stochastic systems

A Carverhill - Probability theory and related fields, 1987 - Springer
We extend Furstenberg's theorem to the case of an iid random composition of incompressible
diffeomorphisms of a compact manifold M. The original theorem applies to linear maps {X i …

On the simulation of contingent claims

L Clewlow, A Carverhill - The Journal of Derivatives, 1994 - pm-research.com
For many complex option valuation problems analytical solutions are not possible. In these
cases Monte Carlo simulation is an important numerical solution tool. Furthermore, …

Alternative neural network approach for option pricing and hedging

AP Carverhill, THF Cheuk - Available at SSRN 480562, 2003 - papers.ssrn.com
Since its introduction in 1973, the Black-Scholes model has found increasingly more resistance
in application. In order to use Black-Scholes to price any option, one needs to know the …

Indonesia's stock market: evolving role, growing efficiency

JJ Kung, AP Carverhill, RH McLeod - Bulletin of Indonesian …, 2010 - Taylor & Francis
The banking sector traditionally dominated Indonesia's financial system, and until the 1990s
the stock market remained of little significance. Re-opened in 1977 after two decades of …