Robust Volatility Estimation with and Without the Drift Parameter

We find the closed form solution for the joint probability of the running maximum and the drawdown of the Brownian motion with a non-zero drift parameter at a random time that is exponentially distributed and independent of the Brownian motion. This characterization leads us to come up with a robust method of estimating volatility using open, high, low and closing prices. We rigorously show the independence of robust volatility estimators based on extreme values of asset prices relative to the standard robust volatility estimator based on closing price alone. We further prove that the proposed robust volatility ratio is unbiased with no drift parameter. Moreover, we find that the robust volatility ratio with a non-zero drift parameter has only a second order effect. We have shown that our proposed extreme value robust volatility estimator is 2–3 times relatively more efficient when compared to the classical robust volatility estimator based on Monte Carlo simulation experiment. On the empirical side, we test the proposed robust volatility ratio based on high and low prices on different asset classes like stock indices, exchange rate and precious metals.

     

Narratives in managers’ corporate finance decisions

This article uses the extended case method to explore senior executives’ corporate finance decisions. We quantified firm’s finance practices using a mail survey, and then – to resolve puzzles in managers’ decision processes – conducted face‐to‐face interviews with chief finance officers of large listed firms. The interviews identified six themes as consistent influences on finance decisions: pressures imposed by clienteles; constraints on resources; risk management; heuristics; real options; and sustainability. We conclude that managers are logical and rational in their decisions, but employ a wider range of criteria than assumed in conventional finance theories.     

Nash Equilibrium and Decentralized Negotiation in Auctioning Divisible Resources

We consider the problem of software agents being used as proxies for the procurement of computational and network resources. Mechanisms such as single-good auctions and combinatorial auctions are not applicable for the management of these services, as assigning an entire resource to a single agent is often undesirable and appropriate bund sizes are difficult to determine. We investigate a divisible auction that is proportionally fair. By introducing the notion of price and demand functions that characterize optimal response functions of the bidders, we are able to prove that this mechanism has a unique Nash equilibrium for an arbitrary number of agents with heterogeneous quasilinear utilities. We also describe decentralized negotiation strategies which, with approrpate relaxation, converge locally to the equilibrium point. Given an agent with a sequence of jobs, we show how our analysis holds for a wide variety of objectives.     

Re-examination of the historical equity risk premium in Australia

In light of the ongoing debate over the value of the equity risk premium, its increasing use in the regulatory setting, and the impact of dividend imputation on the premium, this paper presents a timely new look at the historical equity risk premium in Australia, and provides an improved understanding of the historical record. We document concerns about data quality that become increasingly important the further back in time one looks. In particular, there are sufficient question marks over the quality of data prior to 1958 to warrant any estimates based thereon to be treated with caution. Accordingly, we present a new set of estimates of the historical equity risk premium corresponding to periods of increasing data quality but of decreasing sample size. Relative to bonds (bills), the equity premium has averaged 6.3 per cent (6.8 per cent) per annum over 1958–2005, which is a period of relatively good data quality. Together with other results in the paper, the findings reveal a historical estimate that is substantially less than widely cited historical studies would otherwise indicate. We reconcile prior evidence through documenting a dividend adjustment that has typically been overlooked. We also provide estimates that incorporate an adjustment for imputation credits.     

Is USD-INR Really an Excessively Volatile Currency Pair?

The USD-INR currency pair has often been in the news for its excess volatility. This study examines the veracity of this belief by using the extreme value estimator proposed by Rogers and Satchell (Ann Appl Prob 1(4):504–512, 1991) and the VRatio proposed by Maheswaran et al. (J Emerg Mark Finance 10(2):175–196, 2011). The volatility in the USD-INR exchange rate is determined for the period beginning January 2009 and ending June 2015. The volatility of the GBP-INR and EUR-INR currency pairs is also determined for making comparisons. The results show that the EUR-INR and the GBP-INR currency pairs exhibit excess volatility, but not the USD-INR. This result runs counter to the commonly held view. This study also examines the volatility of the three currency pairs using the multiple-days’ time windows for better approximation of Brownian motion while embedding the jumps in the daily opening prices. There is no evidence to support the existence of excess volatility in the USD-INR.

     

A new unbiased additive robust volatility estimation using extreme values of asset prices

Financial Markets and Portfolio Management - We propose a new unbiased robust volatility estimator based on extreme values of asset prices. We show that the proposed Add Extreme Value Robust...     

Australian evidence on the determinants and impact of takeover resistance

In the present paper, we examine the determinants and impact of target bid resistance on the wealth of target shareholders and the takeover process in Australia. We find that bid resistance increases target shareholder wealth in the post‐announcement period and that the probability of bid hostility increases with the target's size, decreases with the target's performance and is unrelated to the size of the premium offered by the bidder. We also find that bid hostility decreases the probability of bid success, increases the probability of bid revision and has no effect on the probability of competing bidders entering the market.