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Waterdeep Adventure Travel has an unlevered cost of equity of 16

Finance

Waterdeep Adventure Travel has an unlevered cost of equity of 16.7%, and a cost of debt of 6.8%. Their tax rate is 42%, and they maintain a capital structure of 57% debt and the rest equity. They are considering giving cave exploration tours to their menu of adventure vacations. Buying the needed equipment would cost $79,504, and would bring in $20,732 one year from today, and $81,870 two years from today. What is the NPV of this project, using the WACC method, if they invest today?

 

Please give your answer to the nearest dollar.

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First we calculate WACC:

WACC= We*Re + Wd*Rd*(1-T)

Here,

We= Weight of Equity = 1-57%= 43%  
Re= Cost of Equity = 16.7%

 Wd= Weight of Debt = 57% 

Rd= Cost of Debt = 6.8%

T= Tax rate = 42%

So, 

WACC= 0.43*0.167+0.57*0.068*(1-0.42)

= 0.07181+0.02248

WACC= 0.0943 or 9.43%

 

Now we calculate NPV of the Project:

NPV= PV of Cash Flows- Initial cost

Given,

Initial cost (C )= $79,504

Cash flow for year 1 (CF1)= $20,732 and Cash flow for year 2 (CF2)= $81,870

 

NPV= 20,732/(1+9.43%)+81870/(1+9.43%)^2-79504

= 18945.60+68,369.01-79504

NPV = $7810.61