Applying black- Scholes model to breakdown beta: growth options and the risk of beta miscalculation

Document Type: Original Article

Authors

1 Ph.D. Candadate, Department of Financial Management, Islamic Azad University, Sciences and Research Branch, Tehran, Iran.

2 Assistant Prof., Department of Business Management, Islamic Azad University, Sciences and Research Branch, Tehran, Iran.

3 Prof., Department of Accounting, Islamic Azad University, Sciences and Research Branch, Tehran, Iran.

10.22034/ijf.2020.213958.1102

Abstract

When evaluating companies and investment plans, most analysts use a discount rate that is derived from CAPM models. The beta in these models usually represent risks and opportunities of the relative industry, with almost no attention to the risks that are already included in the beta. This ignorance in risk measurement could ultimately impair shareholders value. What makes things critical is that by adjusting risks and opportunities in beta, the result of investment plans and company valuation could be much different. In this paper we use 1 to 10 years of monthly return data for all industries of Tehran Stock Exchange and Iran Fara Bourse and suggest an adjusted beta for each industry which is stripped of the dazzling effects of the debts and growth opportunities. We separately account for breaking down beta into beta of growth opportunities and beta of existing assets for each industry in various timelines between 1 to 10 years. Our results showed that the beta of growth opportunities is bigger than the beta of assets for almost all industries. The mentioned betas can make a big difference in cost of capital and we suggest using them when evaluating investment plans, development plans, valuation of companies and even start-ups.

Keywords


Abvali, M., Khalili araghi, M., hasanabadi, h., & yaghoobnezhad, a. (2019). Optional trading pricing with a new analytic method for the Black Scholes equation. Journal of Financial Management Strategy, 7(3), 121-143.

Askarinejad Amir, A., & Fadaeinejad, M. E. (2018). Determinants of systematic risk in the Iranian Financial sector. Iranian Journal of Finance, 2(1), 59-79.

Berk, J., Green, R., & Naik, V. (1999). Optimal Investment, Growth Options and Security Re-turns. Journal of Finance, 54, 1553-1608.

Berk, J., Green, R., & Naik, V. (2004). Valuation and Return Dynamics of New Ventures. Review of Financial Studies, 17, 1-35.

Bernardo, A., Chowdhry, B., & Goyal, A. (2007). Growth Options, Beta, and the Cost of Capital. Financial Management, 5-17.

Bernardo, A., Chowdhry, B., & Goyal, A. (2012). Assessing Project Risk. Journal of Applied Corporate Finance, 24(3), 94-100.

Brealey, R., Myers, S., & Allen, F. (2006). Principles of Corporate Finance. New York: McGraw-Hill.

Bukhvalov, A. (2016). Managerial Theory of Firm: Towards a Synthesis of Finance and Strategic Management. Russian Management Journal, 4, 105-126.

Campbell, J., & Mei, J. (1993). Where Do Betas Come From? Asset Price Dynamics and the Sources of Systematic Risk. Review of Financial Studies, 6, 567-592.

Carlson, M., Fisher, A., & giammarino, R. (2004). Corporate Investment and Asset Price Dynamics: Implications for the Cross-section of Returns. Journal of Finance, 59, 2577-2603.

Carlson, M., Fisher, A., & Giammarino, R. (2006). Corporate Investment and Asset Price Dynamics: Implications for SEO Event Studies and Long-Run Performance. Journal of Finance, 61, 1009-1034.

Cornell, B. (1999). Risk, Duration, and Capital Budgeting: New Evidence on Some Old Questions. Journal of Business, 72, 183-200.

Da, Z., Guo, R., & Jagannathan, R. (2012). CAPM for Estimating the Cost of Equity Capi-tal: Interpreting the Empirical Evidence. Journal of Financial Economics, 103, 204-220.

Dechow, P., Sloan, R., & Soliman, M. (2004). Implied Equity Duration: A New Measure of Equity Risk. Review of Accounting Studies, 9, 197-228.

Fama, E., & French, K. (1992). The Cross-Section of Expected Stock Returns. The Journal of Finance, 47(2), 427-465.

Fama, E., & French, K. (1997). Industry Costs of Equity. Journal of Financial Economics, 43, 153-193.

Foroughnejad, H. (2017). Measuring Diversification and Information Risk in Iran’s Mutual Funds. Iranian Journal of Finance, 1(2), 65-82.

Jafarizadeh, B., & Bratvold, R. (2019). Exploration Economics: Taking Opportunities and the Risk of Double-Counting Risk. Mineral Economics, 1-13.

Jia, Y., & Yan, S. (2017). Profitability Skewness and Stock Return. Available at SSRN. https://ssrn.com/abstract=3019690

McDonald, R., & Siegel, D. (1985). Investment and the valuation of firms when there is an option to shut down. International economic review, 26, 331-349.

Mirzaei, R., Sahebgharani, A., & Hashemi, N. (2017). Investigation the Strength of Five-Factor Model of Fama and French (2015) in Describing Fluctuations in Stock Returns. Iranian Journal of Finance, 1(2), 105-119.

Moamadi, S., Abasinejad, H., & Mirsanei, R. (2007). Investigating Different Beta Estimation Methods in Tehran Stock Exchange. Accounting and Auditing Reviews, 47, 3-38.

Mohammadi, S., & Asima, M. (2019). Idiosyncratic Volatility pricing by explaining arbitrage risk. Journal of Financial Management Strategy, 7(3), 1-25.

RahnamayRoodposhti, F., & Houshmand Neghabi, Z. (2016). Comparative Study of Capital Assets Pricing Models (CAPM) with Extrapolating Capital Assets Pricing Models (X-CAPM) in Tehran Exchange Market. Internatioinal Journal of Finance and Managerial Accounting, 1, 21-39.

RahnamayRoodposhti, F., Nikoomaram, H., & Alimardani, A. (2007). Reviewing and comparing the power of beta in capital asset pricing model and the variables presented in the Fama and French model for explaining stock returns. Journal of Knowledge and Research of Accounting, 9, 6-11.