Cost of CapitalThe details of a project are:Equity raised for the project: ₹60 lakhsDebt taken: ₹30 lakhCost of debt (kd): 8%Cost of equity (ke): 18%Calculate the cost of capital for the project. 12.88%14.67%11.57%15.25%
Question
Cost of CapitalThe details of a project are:Equity raised for the project: ₹60 lakhsDebt taken: ₹30 lakhCost of debt (kd): 8%Cost of equity (ke): 18%Calculate the cost of capital for the project. 12.88%14.67%11.57%15.25%
Solution
To calculate the cost of capital, we need to use the formula for the weighted average cost of capital (WACC). The formula is:
WACC = (E/V) * ke + (D/V) * kd * (1 - Tc)
Where: E = Market value of equity D = Market value of debt V = Total market value of equity and debt ke = Cost of equity kd = Cost of debt Tc = Corporate tax rate
In this case, there is no mention of a corporate tax rate, so we can assume it to be 0. This simplifies our formula to:
WACC = (E/V) * ke + (D/V) * kd
Given in the problem: E (Equity) = ₹60 lakhs D (Debt) = ₹30 lakhs ke (Cost of equity) = 18% kd (Cost of debt) = 8%
First, calculate V (Total market value of equity and debt), which is E + D = ₹60 lakhs + ₹30 lakhs = ₹90 lakhs.
Now, substitute these values into the WACC formula:
WACC = (60/90) * 18% + (30/90) * 8% = 12% + 2.67% = 14.67%
So, the cost of capital for the project is 14.67%.
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