A UK Empirical Test of the Larson-Gonedes Exchange Ratio Model

This paper adopts the Larson-Gonedes merger exchange ratio determination model to investigate the bargaining area in UK takeovers involving share-for-share exchanges. The model focuses on price-earnings ratios rather than share price returns and so is more consistent with practical valuation methods than other approaches. The basic model is extended for the UK to consider both cash alternative offers and mixed offers involving cash and equity consideration. The model is tested on a sample of 95 UK takeovers between 1984 and 1988 using consecutively unadjusted, FT All Share Index adjusted and beta adjusted price bases. The analysis adopts the conventional chi-square test used by Conn and Nielsen but, in addition, a new test is developed based on a Generalised Likelihood Ratio. We find that on an unadjusted price basis there is greater support for the Larson-Gonedes model in the UK than Conn and Nielsen found for the US. However, our extended model based on adjusted prices provides more cautious support. In addition, we conduct a sensitivity analysis to test the robustness of the results and provide further evidence on the wealth effects on acquiring and acquired company shareholders.