# How is the cost of equity for a specific stock calculated using the Fama-French 5 factor model?

The Fama-French 5 factor model is as follows:

$$R_a = R_f + \beta_m \left( R_m - R_f\right) + \beta_s\text{SMB} + \beta_v\text{HML} + \beta_p\text{RMW} + + \beta_i\text{CMA}$$

It is quite easy to find $$\beta_m$$ for a specific stock (most stock websites have it listed), and the market premium is also quite easy to determine since $$R_f$$ the US Treasury 1-month bond and the annual return of the market in the long term (at least in the U.S.) hovers around 8-10%.

However, I am not able to find a resource to find out the size, value, profitability, and investing premiums nor can I find the specific betas for each risk factor for a specific stock.

My question is if I want to calculate the cost of equity for a specific stock, using the CAPM model is quite easy as most of the numbers are readily available, but how could I go about finding the relevant figures for the rest of the risk factors?

• Absolutely; those have to match. Betas tend to change over different pars of the business cycle, so that is one reason to make sure they match. You will need to do the regressions yourself. $R$ should make easy work of it if you write a loop. Not sure if you would find those betas pre-computed anywhere. Aug 21 '20 at 23:55