You are considering purchasing a parlour that is currently generating $40,000 of after-tax cash flow. On the basis of a review of other parlours in the region you have decided that you will like to earn an 13% rate of return on the proposed parlour purchase. What is the firm's value if cash flows are expected to grow at an annual rate of 6% from now to infinity?Select one:a. $666,666.67b. $307,692.30c. $713,333.33d. $329,230.77
Question
You are considering purchasing a parlour that is currently generating 666,666.67b. 713,333.33d. $329,230.77
Solution
To calculate the value of the firm, we can use the Gordon Growth Model (also known as the Dividend Discount Model). This model is used to determine the intrinsic value of a stock, excluding macroeconomic factors. The formula is:
V = CF / (r - g)
where: V = Firm's value CF = Cash flow = $40,000 r = Required rate of return = 13% = 0.13 g = Growth rate = 6% = 0.06
Substituting the values into the formula, we get:
V = 571,428.57
However, this value is not listed in the options. It's possible there may be a mistake in the question or the provided options.
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