41.7k views
3 votes
You are considering the purchase of a business that produces net cash flows of $350,000 per year in perpetuity. In a perfectly competitive market, what should be the asking price for the business if the firm’s cost of capital is 15%? (Show your work. Label $. No decimal places required. Highlight or bold your answer.)

1 Answer

3 votes

Answer:

Enterprise value = $2,333,333.33

Step-by-step explanation:

This is an example of perpetuity cashflow problem. Ler formulate the all the number in this exercise as below:

Enterprise value = Net cashflow_1/(1 + Cost of capital) + Net cashflow_2/(1 + Cost of capital)^2 + Net cashflow_n/(1 + Cost of capital)^n

When n approach infinity and net cashflow in every year is the same, the reduced form of above formula is:

Enterprise value = Net cashflow/Cost of capital

Putting all the number together, we have:

Enterprise value = 350,000/15% = 2,333,333.33 (this shoube be the asking price for the business).

User Haxtbh
by
8.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.