Portfolio beta is used to measure the portfolio’s overall systematic risk of an investment which equals the weighted average of all individual stock’s beta coefficient in a portfolio. The investment in stock S is 40% and in stock X is 60%. The stock S’s beta coefficient is 1.5 and the portfolio beta coefficient is 2.1.

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The prodave paint company earned a net profit margin of 20% on revenues of $20m this year. Fixed Capital Investment was $2 m and depreciation was $3 m. Working capital Investment equals 7.5% of the Sales level in that year. Net income, fixed Capital Investment, depreciation, interest expenses and sales are expected to grow at 10% per year for the next 5 years. After 5 years, the growth in sales , net income, depreciation and interest expenses will decline to a stable 5% per year and fixed Capital Investment and depreciation will offset each other. The tax rate is 40% and the prodave has 1 m shares of common stock outstanding and long term debt paying 12.5% interest trading at it's par value of $32 m. The WACC is 17% during the high growth stage and 15% during the stable growth stage. Required: a) Calculate FCFE b) Determine FCFF c) Estimate the value of Equity d) Calculate the value of the Firm

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Chapter 8, Problem 10PROB

Summary Introduction

Portfolio beta is used to measure the portfolio’s overall systematic risk of an investment which equals the weighted average of all individual stock’s beta coefficient in a portfolio.

The investment in stock S is 40% and in stock X is 60%. The stock S’s beta coefficient is 1.5 and the portfolio beta coefficient is 2.1.

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The prodave paint company earned a net profit margin of 20% on revenues of $20m this year. Fixed Capital Investment was $2 m and depreciation was $3 m. Working capital Investment equals 7.5% of the Sales level in that year. Net income, fixed Capital Investment, depreciation, interest expenses and sales are expected to grow at 10% per year for the next 5 years. After 5 years, the growth in sales , net income, depreciation and interest expenses will decline to a stable 5% per year and fixed Capital Investment and depreciation will offset each other. The tax rate is 40% and the prodave has 1 m shares of common stock outstanding and long term debt paying 12.5% interest trading at it's par value of $32 m. The WACC is 17% during the high growth stage and 15% during the stable growth stage. Required: a) Calculate FCFE b) Determine FCFF c) Estimate the value of Equity d) Calculate the value of the Firm

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