We solve an agent's optimization problem of meeting demands for cash over time with cash deposited in bank or invested in stock. The stock pays dividends and uncertain capital gains, and a commission is incurred in buying and selling of stock. We use a stochastic maximum principle to obtain...

We investigate how a supply chain involving a risk-neutral supplier and a downside-risk-averse retailer can be coordinated with a supply contract. We show that the standard buy-back or revenue-sharing contracts may not coordinate such a channel. Using a definition of coordination of supply...

Sethi and Thompson (1970) illustrated the applications of the maximum principle to solve simple dynamic cash balance problems. There we introduced the idea of penalty function to solve the cash balance problem with bounded state variables arising out of disallowing overdrafts and short selling....

This is an erratum on my paper quot;A Note on Modeling Simple Dynamic Cash Balance Problemsquot; published in The Journal of Financial and Quantitative Analysis, Vol. 8, No. 4 (Sep., 1973), pp. 685-687

A comparison of and the relationship between the Ito and Stratonovich formulations of stochastic integration is given. It is argued that generally the Ito formulation is appropriate for problems of finance and economics. The Black-Scholes option pricing problem is discussed in both frameworks...