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Scholars have typically examined family business exposure as an aggregate variable. However, it is probable that this trend oversimplifies the complexity of family exposure and its nuanced influence on entrepreneurial behaviour. Thus, to extend the theoretical boundary, this inquiry investigates distinct dimensions of family exposure in Nigeria while drawing on the theory of planned behaviour.

Data were collected from five public universities in Nigeria. A sample of 1,314 respondents was analysed using a partial least squares structural equation modelling approach to determine the influence of alternate family business exposures.

The results show that entrepreneurial exposure in the forms of parent, family member and work involvement have salient and distinctive influences on implementation intention to the extent that entrepreneurial self-efficacy, attitudes and subjective norms are uniquely impacted.

This study offers novel insights on the predictors of entrepreneurial implementation intention through the distinctive effects of (1) family member exposure, (2) parent exposure and (3) work involvement exposure among students in the family firm context.

The purpose of this study is to estimate the convergence order of the Aumann–Serrano Riskiness Index.

This study uses the equivalent relation between the Aumann–Serrano Riskiness Index and the moment generating function and aggregately compares between each two statistical moments for statistical significance. Thus, this study enables to find the convergence order of the index to its stable value.

This study finds that the first-best estimation of the Aumann–Serrano Riskiness Index is reached in no less than its seventh statistical moment. However, this study also finds that its second-best approximation could be achieved with its second statistical moment.

The implications of this research support the standard deviation as a statistically sufficient approximation of Aumann–Serrano Riskiness Index, thus strengthening the CAPM methodology for asset pricing in the financial markets.

This research sheds a new light, both in theory and in practice, on understanding of the risk’s structure, as it may improve accuracy of asset pricing.