The Daily Brew has a debt-equity ratio of .57. The firm is analyzing a new project that requires an initial cash outlay of $260,000 for equipment. The flotation cost is 5.1 percent for equity and 3.4 percent for debt. What is the initial cost of the project including the flotation costs?

Respuesta :

Answer:

initial cost of project including floating cost = $272479.56

Explanation:

given data

debt-equity ratio =  0.57

initial cash outlay = $260,000

flotation cost for equity =  5.1 percent

flotation cost for debt = 3.4 percent

to find out

initial cost of the project including the flotation costs

solution

we find here first weight of debt = [tex]\frac{debt}{equity + debt}[/tex]  

weight of debt = [tex]\frac{0.57}{1+0.57}[/tex]  

weight of debt = 36.30 %

and

weight of equity = [tex]\frac{equity}{equity + debt}[/tex]    

weight of equity = [tex]\frac{1}{1+0.57}[/tex]  

weight of equity = 63.69 %

so

weight average floating cost = weight of debt × floating cost debt  + weight of equity × floating cost equity    

weight average floating cost = 39.30%  × 3.4 %  +  63.69 × 5.1 %

weight average floating cost = 4.58 %

so

initial cost of project including floating cost = [tex]\frac{initial\ cash }{1- floating\ cost}[/tex]        

initial cost of project including floating cost = [tex]\frac{260,000}{1- 0.0458}[/tex]      

initial cost of project including floating cost = $272479.56