IX. Conclusions
Famous theory of the capital cost and the capital structure by MM (1958, 1963) is based on many assumptions, removal of which significantly alters its conclusions. While the account of corporate and individual taxes, the possibility of bankruptcy and a number of other assumptions have received consid- erable attention, MM’s assumption that all financial flows are perpetuity (the lifetime of the company is infinite) is much less studied. In fact, the lifetime of the company is always of course finite, and the inclusion of this fact into consideration significantly changes formulae obtained by MM, in particular for the average cost of capital WACC. In this article, we consider the WACC of the company in the theory of MM and modify MM’s theory for a finite lifetime of the company. For the first time, we derive the analytical expression for WACC of the company with arbitrary lifetime. In two limited cases, 1 year
and perpetuity companies – our expression gives the well-known results of Myers and MM, correspond- ingly. We have obtained an equation for a 2-year company and compared this result with those by Myers and MM. It has shown that WACC values for 2-year company is closer to MM (perpetuity) limit than to Myers (1 year) one at small equity cost (just above the debt cost), while at bigger equity cost it is closer to Myers limit, than to MM’s one. Algorithm for finding of WACC in the case of arbitrary lifetime of the project has been developed. Note that the use of the obtained equations for the projects of n years and for companies operating in the market during n years significantly alter the assessment of the average cost of capital of the company with respect to currently known results by Myers and MM (Brusov and Filatova, 2010).
IX. ConclusionsFamous theory of the capital cost and the capital structure by MM (1958, 1963) is based on many assumptions, removal of which significantly alters its conclusions. While the account of corporate and individual taxes, the possibility of bankruptcy and a number of other assumptions have received consid- erable attention, MM’s assumption that all financial flows are perpetuity (the lifetime of the company is infinite) is much less studied. In fact, the lifetime of the company is always of course finite, and the inclusion of this fact into consideration significantly changes formulae obtained by MM, in particular for the average cost of capital WACC. In this article, we consider the WACC of the company in the theory of MM and modify MM’s theory for a finite lifetime of the company. For the first time, we derive the analytical expression for WACC of the company with arbitrary lifetime. In two limited cases, 1 yearand perpetuity companies – our expression gives the well-known results of Myers and MM, correspond- ingly. We have obtained an equation for a 2-year company and compared this result with those by Myers and MM. It has shown that WACC values for 2-year company is closer to MM (perpetuity) limit than to Myers (1 year) one at small equity cost (just above the debt cost), while at bigger equity cost it is closer to Myers limit, than to MM’s one. Algorithm for finding of WACC in the case of arbitrary lifetime of the project has been developed. Note that the use of the obtained equations for the projects of n years and for companies operating in the market during n years significantly alter the assessment of the average cost of capital of the company with respect to currently known results by Myers and MM (Brusov and Filatova, 2010).
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