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I need help finding the following given the information provided: Cost of Equity

ID: 2808665 • Letter: I

Question

I need help finding the following given the information provided:

Cost of Equity given the Risk-Free Rate is 4%, the Equity Risk Premium is 6%, and the Beta is 1.2

The stock value today given the terminal value per share is 30.80, the dividends per share for the next 5 years are .48, .58, .88, 1.2, 1.54

And how to find Cash Flows if I have the dividends paid, net income, tax for the next 5 years.

And if it is impossible with the information provided, what information must I find to find those 3 values

Explanation / Answer

Cost of Equity (Ke)

As per Capital Asset Pricing Model [CAPM], The Cost of Equity shall be computed by using the following equation

Cost of Equity [ke] = Rf + B[Rm-Rf]

Where; Rf = Risk free rate

B = Beta of the stock

(Rm – Rf) = Market Risk Premium

In this given question, we have Rf = 4%

Beta = 1.2

(Rm – Rm) = 6%

After substituting the given data into the equation,

Cost of Equity [Ke] = Rf + B[Rm-Rf]

= 4% + [1.2 x 6%]

= 4% + 7.2%

= 11.2%

“Therefore, the Cost of Equity = 11.2%”

Stock Value Today

The Value of the stock today is the aggregate of the present value of the future dividends and the terminal value

Therefore, Current Share Price = D1/(1 + r) 1 + D2/(1 + r)2 + D3/(1 + r)3 ++ D4/(1 + r)4 + D5/(1 + r)5 + TV/(1 + r)5

= $0.48/(1 + 0.112)1 + $0.58/(1 + 0.112)2 + $0.88/(1 + 0.112)3 + $1.2/(1 + 0.112)4+ $1.54/(1 + 0.112)5 + $30.80/(1 + 0.112)5

= $0.43 + 0.47 + 0.64 + 0.78 + 0.91 + 18.11

= $21.35

“Hence, the Stock Value Today = $21.35”

Information Required to find out the cash flows

-As we know the cash flow is computed by using the following formula

-Cash Flow = Net Income after Tax + Non-cash Expenses

-Non-cash expenses are those expenses which does not have any outflow of cash. some examples of non-cash expenses are depreciation, amortization charges, etc

-Here, the dividend paid is not required to find out the cash flow for the year

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