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As one of the core concepts of corporate financial management, on the one hand, cost of capital is the cost of corporate financing and related to the financing behavior of firms, on the other hand, cost of capital is the necessary rate of return for investors, which decides investment activities. How to calculate cost of capital? What are the influencing factors for cost of capital? These two questions will play a fundamental role in judging whether cost of capital is high in China and promoting the cost reduction task proposed by the current supply-side reform.

As China has entered a new stage, economy growth has shifted from high speed to medium-high speed. In view of the current economic situation, the central economic working group creatively put forward a new strategy of supply-side structural reform at the central economic work conference in December 2015, and further defined the economic work deployment of supply-side structural reform as five tasks, among which cost reduction has been repeatedly emphasized. Whether cost of capital in China has already fell? How can we reduce cost of capital? To answer these questions, the first job is to calculate the cost of capital and find out its influence factors, Chinese scholars have done much in calculating cost of capital and studying the relationship between one certain factor and cost of capital. However, different scholars used different measuring methods and studied different factors. What’s more, they have done less in literatures review so they can’t understand the whole thing. To make up for the lack of previous literatures, this article sorts out the literatures from the aspects of capital cost calculation methods and influencing factors, summarizes all the calculating methods and concludes the influencing factors of capital cost which provides a comprehensive view for us. By comparing various calculation methods, we can know the robustness of them and summarization of influencing factors can provide some suggestions to the cost reduction task.

The article is organized as follows: Section 2 introduces the calculation methods of capital cost including average cost of capital, weighted average cost of capital (WACC) and internal rate of return (IRR), in which WACC is most widely used. Section 3 summarizes the influencing factors of capital cost, such as operation and governance of the company, information disclosure, external macro environment and other factors. Section 4 concludes the article and Section 5 is references.

As one of the core concepts of corporate financial management, on the one hand, cost of capital is the cost of corporate financing and is related to firm’s financing behavior. According to the “financing priority” theory, when a firm needs financing, the first consideration is internal financing while equity financing is secondary. In addition, the cost of debt capital and equity capital also determines the financing structure of firms. On the other hand, the cost of capital is the necessary rate of return for investors, which is related to the investment decision of firms. Taking the cost of capital as the discount rate, if the net present value of a project is lower than 0, then the project is not worth investing, because the investment income cannot offset the cost of financing; If the net present value is greater than or equal to zero, then the investment is profitable and the project is worth investing in. As a bridge connecting both investment and financing and investors and managers, cost of capital plays an important role in corporate finance. There are three main methods to measure the cost of capital in relevant literatures: average cost of capital, weighted average cost of capital and internal rate of return.

This method was first proposed by Miller & Modigliani [

( V − τ D ) = α 1 + α 2 X ¯ ( 1 − τ ) + α 3 Δ A ¯ + U (1)

where, V = the current value of the firm, X ¯ = the expected return, τ = corporate tax rate, D = the value of debt, Δ A ¯ = the change of assets, U = the random disturbance term.

Since the random disturbance term is related to the firm size, there may be heteroscedasticity. To solve the problem, Miller and Modigliani adjusted each variable with the firm scale, namely the book value of the total assets A, thus:

( V − τ D ) A = α ′ 1 + α 2 X ¯ ( 1 − τ ) A + α 3 Δ A ¯ A + μ (2)

In theory, the inverse of the parameter α 2 should be the cost of equity capital. However, in fact, after introducing firm size to the model, firm size becomes an explanatory variable too, which affects the correctness of the model. Therefore Miller and Modigliani adopted two-stage estimation methods, in the first stage, they find five instrumental variable: firm size, growth, asset liability ratio, preferred stock and assets ratio, dividends and capital ratios as explanatory variables and X ¯ as explained variable, then establish a regression equation with zero intercept and estimate the coefficient. Raw data of the five instrument variables and the coefficient can give new expected earnings. In the second stage, the new expected earnings obtained in the first stage are substituted into the Equation (2), the parameters α 2 are estimated and the cost of equity capital ρ k = 1 α 2 . Considering the debt tax shield, the average cost of capital can be expressed as:

C = ρ k ( 1 − τ d D d A ) (3)

Chinese literature also used this method to calculate the equity capital cost of department stores in the stock market from 1995 to 1997 [

In the standard financial textbooks, there is the weighted average cost of capital method, which calculates cost of capital equal to a weighted average cost of debt capital and equity:

WACC = r e ( 1 − w d ) + r d w d (4)

the method is popular, but scholars have different views. on three variables involved in the equation.

The cost of debt capital is relatively simple and less controversial than the cost of equity capital. On the one hand, due to debt tax shield, the cost of debt capital is generally lower than that of equity capital; On the other hand, the weight of debt in total financing is relatively small. Therefore, the cost of debt capital has a smaller impact on the cost of capital and there are relatively few studies on this part.

Cost of debt capital is generally considered to be equal to interest expenditure/debt [

r d = E f + E c D ( 1 − t ) (5)

where E f is expensed interest expense, E c is capitalized interest expense, D is debt and t is income tax rate. [

In addition, the bond yield to maturity method is used in standard financial textbooks, which is applicable to a single bond. Since most firms issue bonds in different periods with different maturities, so the method is rarely used in actual academic research.

There are abundant literatures for calculating the cost of equity capital, and the classic methods are CAPM, multi-factor Model, APT. there is the Dividend-discount Model in standard financial textbooks:

P t = ∑ i = 1 ∞ E t ( D t + i ) ( 1 + r e ) i (6)

where P t is the price per share at the beginning of period t, D t + i is the dividend per share in period t + i , and r e is the cost of equity capital.

When dividends growth is stable, the dividend discount model can transformed into the Gordon growth model:

P 0 = D 1 K s − g → K s = D 1 P 0 + g (7)

where D 1 is the dividend per share in the first year in the future, P 0 is the market price per share at the beginning of the year, g is dividend growth and K s is the cost of equity capital. On the basis of dividend discount model, [

P t = B t + ∑ i = 1 ∞ E t [ N I t + i − r e B t + i − 1 ] ( 1 + r e ) i = B t + ∑ i = 1 ∞ E t [ ( R O E t + i − r e ) B t + i − 1 ] ( 1 + r e ) i (8)

P t : the price of the stock at period t;

B t : the face value at period t;

N I t + i : net income at period t + i ;

r e : cost of equity capital;

R O E t + i : the after-tax return on the book equity in the period t + i .

If the value after the third period is taken as the final value, the above equation can be rewritten as:

P t = B t + F R O E t + 1 − r e ( 1 + r e ) B t + F R O E t + 2 − r e ( 1 + r e ) 2 B t + 1 + T V (9)

the final value T V = ∑ i = 3 T − 1 F R O E t + i − r e ( 1 + r e ) i B t + i − 1 + F R O E t + T − r e ( 1 + r e ) T − 1 r e B t + T − 1 . F R O E t + i is the predicted value of R O E t + i , they compute this variable as e p s t + i / B t + i , where e p s t + i is the expected earnings per share in the period t + i . B t + i is the book value in period t + i , which met B t + i = B t + i − 1 + e p s t + i − d p s t + i , where d p s t + i is the expected dividend per share in period t + i . Assuming t the prediction period is 12, then the final value is:

T V = ∑ i = 3 12 F R O E t + i − r e ( 1 + r e ) i B t + i − 1 + F R O E t + 12 − r e ( 1 + r e ) 11 r e B t + 11 (10)

Combining firm’s financial data and forecast data of analyst, then obtains the cost of equity, this is the residual income discount model (GLS). This method implies the assumption that the expected cost of equity capital is equal to the actual cost of equity capital r e .

[

r P E G = e p s t − e p s t − 1 P t − 2 (11)

r M P E G = e p s t + r M P E G e p s t − 1 − e p s t − 1 P t − 2 (12)

e p s t is the earnings per share at period i forecasted by analysts. [

r e = A + A 2 + e p s 1 p 0 [ e p s 2 − e p s 1 e p s 1 − ( γ − 1 ) ] (13)

where A = γ − 1 + d p s 1 / P 0 2 , γ = g P + 1 . e p s 1 is expected net income per share after one year, e p s 2 is the expected net income per share after two years, d p s 1 is the expected dividend per share after one year and P 0 is the current stock price. g p is the long-term growth rate of net profit after two years and ( e p s 2 − e p s 1 ) / e p s 1 is a proxy generally.

[

P 0 = B 0 + ∑ t = 1 ∞ [ a e t ∏ s = 1 t ( 1 + r f s + r p ) ] (14)

where P 0 is the current stock price, B 0 is the current book value, a e t is the expected return, r f s is the one-year risk-free interest rate in period s, r p is the equity risk premium, and the cost of equity capital k = r f + r p . Assuming that the income is abnormal, the expected income in the first five years satisfies the equation a e t = e t − b v t ( r f t + r p ) while from the sixth year onwards it equals a e 5 ( 1 + g a e ) t − 5 , where proxy variable for g a e is the yield to maturity of the ten-year Treasury bond. Then the Equation (14) can be further arranged to obtain:

P 0 = B 0 + ∑ t = 1 5 e t − r e ∗ b v t − 1 ( 1 + r e ) t + ( e 5 − r e ∗ b v 4 ) ( 1 + g a e ) ( 1 + r e ) 5 ( r e − g a e ) (15)

The above are the main methods to calculate the cost of equity capital. Earlier Chinese literatures tend to use the CAPM method [

As for the weight of debt capital in total financing, the calculation method is relatively simple. One method starts from the actual financing structure, while the other method starts from the target financing structure. The first method bases that debt capital should adopt book value and equity capital should adopt market value. The current ratio of debt capital is the weight of debt capital due in the process of corporate financing, so the weight is equal to current debt capital divided by the sum of current debt capital plus equity capital. The second approach assumes that the weighted should be the target structure, which is the best estimate of how to raise funds in the future. In addition, both debt capital and equity capital should be weighted by the actual market value. Due to simplicity of operation and availability of data, the first method is commonly used, while the second method is the theoretical method in financial textbooks, because it is difficult to obtain information about the future and make realistic estimates of the future.

In addition to the above two methods for calculating the cost of capital, [

I C 0 = ∑ t = 1 T ( 1996 ) X t − I t ( 1 + r c ) t + ∑ t = 1 T ( 1996 ) F S t − F B C t ( 1 + r c ) t + T V 1996 ( 1 + r c ) T (16)

r c is the cost of capital, the other variables involved in the equation are: I C 0 , the total cost of the assets in the initial period; X t , total cash income which is after-tax income but does not deduct depreciation and interest; I t total investment which including net investment and depreciation. F S t , the final market value of the sample left during the period t; F B C t , the initial cost when entering the sample in the future; T V 1996 , the market value of the sample firm still remains at the end of the sample period (1996). Combined with the cash flow equation, the net cash inflow X t − I t in the above equation can be decomposed into dividends D i v t plus interest expenditure I n t t minus newly issued securities N S t , thus the equation can be converted into:

I C 0 = ∑ t = 1 T ( 1996 ) D i v t + I n t t − N S t ( 1 + r c ) t + ∑ t = 1 T ( 1996 ) F S t − F B C t ( 1 + r c ) t + T V 1996 ( 1 + r c ) T (17)

The cost of capital r c can be obtained by substituting the variable data of the whole stock market into the above equation. [

In modern corporate finance theory, the cost of capital has a significant impact on the investment and financing activities of firms. Cost of capital plays such an important role, so what influences the cost of capital of firms? Based on the literatures, this paper can roughly divided them into the following categories: corporate governance, external macro environment, information disclosure and other factors.

Ownership and management are separated in modern companies, this can give play to the capital ability of investors and management ability of managers, but also causes the information asymmetry between investors and managers. Managers know more about the actual situation of firms than investors. Due to the different position, the manager’s profit maximization and the maximization of the value of corporate is not always consistent. The existence of information asymmetry promotes managers more likely to maximize his own interest while damage profit of investors. For their own personal interests, managers may make irrational investment decisions, which increase the cost of capital.

This aspect mainly includes the following several angles, the first is the incentive, the supervision and the internal control. [

The second is the earnings management perspective. [

Finally, the diversification perspective, [

The influence of information disclosure on the cost of capital is mainly considered from the positive and negative perspectives in previous literatures. First, more information disclosure will enable investors to better understand the actual situation of firms and reduce information asymmetry, thus reduce the cost of capital. Second, when information disclosure is limited, investors will have more uncertainty about their expectations of future returns, thus increasing investment risks. Therefore, investors will demand higher rate of return. [

The operation and management of micro-firms cannot be separated from the macro-economy, and the cost of capital is inevitably affected by the macro-economic environment, such as economic system and economic uncertainty. [

In addition to the above three main aspects, there are some other factors, such as CEO financial experience [

This article reviews the literatures about calculation methods and influencing factors of capital cost, which gives us a comprehensive view. To be more specific, the article compares all the calculation methods and elaborates the relationships and differences among them, what’s more, it reviews their popularity in China. Calculation methods are abundant and using different methods to calculate the cost of capital can test the robustness of methods. Besides, the article also concludes the factors which influence cost of capital significantly, such as operation and governance of the company, information disclosure, external macro environment and so on. Previous literatures only analyze the influence of a single factor and pay little attention to the joint effect. In next, in one way, we can calculate cost of capital in different ways to make sure the validity of calculation, in other way we should actively explore other influencing factors and pay more attention to the joint effect of influencing factors rather than influence of a single one, which is useful for evaluating and reducing cost of capital and responding positively to calls put forward by supply-side structural reform.

The author declares no conflicts of interest regarding the publication of this paper.

Li, H.H. (2019) Cost of Capital: Literatures Review about Calculation Methods and Influencing Factors. Journal of Service Science and Management, 12, 360-370. https://doi.org/10.4236/jssm.2019.123024