On Pricing Exponential Square Root Barrier Knockout European Options

A barrier option is one of the most popular exotic options which is designedto give a protection against unexpected wild fluctuation of stock prices.Protection is given to both the writer and holder of such an option.Kunitomo and Ikeda (1992) analytically obtained a pricing formula forexponential double barrier knockout options. Since the logarithm of theirproposed barriers for the stock price process S(t), whichisassumed to be geometric Brownian motion, are nothing but straight lineboundaries, the protection provided by them is not uniform over time. Toremedy this problem, we propose square root curved boundaries±btfor the underlying Brownian motion process W(t). Since thestandarddeviation of Brownian motion is proportional to t, theseboundaries(after transformation) can be made to provide more uniform protectionthroughout the life time of the option. We will apply asymptoticexpansions of certain conditional probabilities obtained by Morimoto (1999)to approximate pricing formulae for exponential square root double barrierknockout European call options. These formulae allow us to computenumerical values in a very short time (t < 10^–6sec), whereas it takesmuch longer to perform Monte Carlo simulations to determine optionpremiums.     

The productivity effects of the liberalization of Japanese telecommunication policy

In the early 1980s, the Japanese government decided to pursue policies of liberalization that opened Japan's telecommunication market to competition and moved toward the privatization of Nippon Telegraph and Telephone (NTT), the dominant domestic telecommunication service provider. The purpose of this paper is to assess the effects of liberalization on the productive performance of NTT. To assess the productive consequences of liberalization, we first provide basic productivity measures for NTT. The Total Factor Productivity (TFP) measures are then decomposed to separate out the effects of liberalization from other factors such as scale, technology, and capacity utilization. The TFP decomposition is based on the parameter estimates of a dynamic cost model.During the 1958–87 period, NTT's TFP level increased at an average annual rate of 3.4%. However, TFP improved at a significantly faster rate following the decision to adopt policies of liberalization. The NTT's average annual TFP growth rate was 5.12% for the 1982–87 period as compared to a 0.26% per year growth rate for the previous five year (1977–82) period. The decomposition of TFP growth appears to indicate that liberalization was a major source of productivity improvement for NTT.     

Optimization for hierarchical multi-level planning systems using interaction prediction principle

This paper is concerned with the optimization of large-scale dynamic systems composed of interconnected subsystems. The decomposition and hierarchical multi-level approach with coordination is described for linear quadratic problem which has been available for socio-economic and production planning. In particular, we present a general solution algorithm for the two-level optimization using interaction prediction principle. A sample example for which the approach is applicable is illustrated.