Before I get into the first evaluations of stocks, I want to first explain what exactly I will be doing over the upcoming weeks, and how I will reach a conclusion. As we all know, a stock represents a portion of a company that one owns. However, for the purposes of my models, we will be defining the price of the stock as the sum of a company’s current and future cash flows. This represents all the cash that would be available to investors after expenses.
This seems very ambiguous at first, but it is through this idea that the following equation has been derived. This is known as a Discounted Cash Flow (DCF) model. The equation is as follows:
DCF= Cf1/(1+Wacc)^1+Cf2/(1+Wacc)^2….+Cfn/(1+Wacc)^n+(Fct*(1-g))/(Wacc-g)
This equation basically is a summation of the total cash flows per year (Cf) as it approaches the terminal value n+1 (This exact part of the equation I will discuss later in the article), and then each year the money is discounted to take into account inflation, depreciation, and other various costs through the weighted average cost of capital (WACC). Basically this equation calculates the total amount of money made over n+1 years, and then calculates it in terms of today’s values utilizing the WACC. To calculate WACCC we must utilize the following equation:
WACC=(E/V)*Re+(D/V)*Rd*(1-Tc)
This equation basically weighs the average of a company’s total capital in terms of both the market value of the company’s equity (E) and the market value of the company’s debt (D) and then dividing it by the sum of E+D, which is represented through the term V. We then must ask ourselves, what are we weighing? The two costs we are weighing are the cost of equity (Re) and the cost of debt (Rd) after taking out the corporate tax rate (1-Tc). WACC basically represents the amount of debt that must be paid to keep the company afloat, aka Rd, and the amount the company must do in order to appease share-holders (Re).
But then, you are now asking what Re and Rd represent. Rd is simply the rate the company is currently paying on its debt. Easy enough right? Re is then basically the percentage return required on an investor’s investment into the company to justify their investment based on the risk involved. It is calculated through the following equation.
Re=Rf+Ba(Rm-Rf)
In this equation, Rf represents the risk free rate, or the percent interest, on a 90 day US treasury bill (at least for the work I will be doing over the following weeks). Ba represents a company’s volatility within the market. It means for every point the market rises or falls, the company’s stock goes Ba in that direction. Finally Rm is the projected growth rate of the entire market for the year.
Hopefully that wasn’t too confusing, but that is the basis for the model, so let us move back to the original DCF equation. In order for me to project the free cash flow of the company, I will go back through the financial statements of prior years and determine the percentage of the company’s revenue that is spent in operating costs, taxes, net investment, and the change in working capital from one year to the next. I will then forecast a growth rate for a period of 5 to 10 years in the future, saying each year that these percentages will continue (potentially small changes on my part, if I notice one of the costs decreases as a percentage as revenue increases), and then I will guess that the company will grow x% each year, this percentage slowly tapering off as a company’s market presence and competitive advantages dwindle till it reaches a terminal value. The terminal value is the final part of the DCF equation, which I told you earlier I would discuss now. Basically, this is the free cash total for every year after the final year n I forecast. A company eventually will hit a point where it will grow with the economy; this is known as the perpetuity rate (g). It is the rate we will assume the company will grow forever after n years. This terminal value allows us to account for cash flows that are too far in the future to project.
So now that you, hopefully, understand how this model works, I can begin to utilize it in the future with your understanding of what I am doing. The final number offered through this long calculation is the total market capitalization of the company. We can then divide this number by shares outstanding and a get a stock price per share. As you can tell however, due to the guess work involved, this is in the end more of an art than a precise science, so a margin of error must be assumed and taken account for before investing. Basically if the value I get is much higher than the current value, one should be bullish on the stock, but if the value I get is much lower than the current value, one should be bearish on the stock.