The first is B. the second is C.
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Suppose $250,000 is used to establish an annuity that earns 6%, compounded quarterly, and pays $6000 at the end of each quarter. It will take about 120 quarters until the account balance reaches $0.
Amount invested (Present value) = $250000
Quarterly payment (At the end of each quarter) (P) = $4500
Interest Rate (Quarterly) (r) = 6% /4
= 1.5% = 0.015
A number of quarters (n) = ?
Future value at the end = 0
Present value of Annuity formula:
Present value = P ×
250000 = 4500 ×
250000 = 300000 ×
250000 / 300000 =
0.83333 =
n = 120
Hence is shall take 120 Quarters until the account balance is $0.
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Answer:
= $52.78 per share
Explanation:
<em>The value of a business can be determined using the free cash flow model. According to this model, the value of a firm is is the present value of its free cash flow discounted at the weigthed average cost of capital (WACC.)</em>
<em>The value of equity is the value of firm less value of other instruments (e.g debt and preferred stocks)</em>
<em>Value of equity = Value of the entire firm - Value of debt </em>
We can work out the the value per share using the steps below:
<em>Step 1</em>
<em>Calculate the total value of the firm</em>
Value of firm = 27.50/(0.1-0.07)
= $916.66 million
<em>Step 2</em>
<em>Calculate the value of equity</em>
<em>Value of equity = Value of the entire firm - Value of debt</em>
= $916.66 million - $125.0 million
=791.666 million
<em>Step 3</em>
<em>Calculate the value per share</em>
Value per share = Value of equity/ units of common stock
=$791.666 million/15 million units
= $52.78 per share