VIPSolutionsGiven the following data Please find the value added by growth opportunities for th FIRM Free Cash Flow to Firm $1,750 Free cash Flow to Equity $1,250 Required rate of return on Equity 12% WACC 8% Growth Rate FCFF 3% Growth Rate FCFE 5% Find the value of the firm with and without growth and then take difference in the two values O $30,042 O $29,150 O $10,597 O $15,400
Question:
Given the following data Please find the value added by growth opportunities for th FIRM
Free Cash Flow to Firm $1,750
Free cash Flow to Equity $1,250
Required rate of return on Equity 12%
WACC 8%
Growth Rate FCFF 3%
Growth Rate FCFE 5%
Find the value of the firm with and without growth and then take difference in the two values
O $30,042
O $29,150
O $10,597
O $15,400
This is AI generated Response.
Asked by: Bhukya Nagesh
Created at: 2025-09-02 19:31:44
Asked by: Bhukya Nagesh
Created at: 2025-09-02 19:31:44
Final Answer:
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Let's solve the problem step by step:
### Step 1: Value of the firm **with growth** (using FCFF)
\[
\text{Value of Firm with Growth} = \frac{\text{FCFF}_1}{\text{WACC} - \text{Growth Rate FCFF}}
\]
\[
= \frac{1750}{0.08 - 0.03} = \frac{1750}{0.05} = 35,000
\]
### Step 2: Value of the firm **without growth** (using FCFF)
\[
\text{Value of Firm without Growth} = \frac{\text{FCFF}_1}{\text{WACC}}
\]
\[
= \frac{1750}{0.08} = 21,875
\]
### Step 3: Value added by growth opportunities
\[
\text{Value Added} = \text{Value with Growth} - \text{Value without Growth}
\]
\[
= 35,000 - 21,875 = 13,125
\]
### Step 4: Closest Answer
None of the provided options **exactly** match 13,125, but the **closest** option is **$15,400**.
#### Therefore, the answer is:
**$15,400** (closest to the calculated value).
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