Preference shares are the shares that are listed in the stock market. The holders of the preference shares receive fixed dividends. The holders get the running yield is dependent on the price paid by the holders in the open market while their dividend are to be paid before the other ordinary dividends can be paid.
The cost of preference share is calculated by annual dividend for the year / face value or the par value of the preference share - floatation cost. In order to get the number of preference
shares the total cost or the expenditure (funds) is divided by the cost of shares (McCahery,2010).
Preference Shares to be sold = Total cost / [Price per share).
Total Investment
105.08
Total Cost
Variable Cost
5
Fixed Cost
5%
Tax Rate
30%
Expected Inflow
20 m
Total Investment and Cost
111.08
Dividend (1000*10%)
100
per share
Annual dividend / Net proceeds after floatation costs
kp (cost of preference shares)
100/(1000-2%)
Floatation cost
1000*2%
20 per share
10/(1000-20)
0.102040816
Total Cost
105.08
Share Price
0.1020408
Number of shares to be issued
1030
1030 shares must be sold at 1000 par value
Question # 2
Answer.
The cost of capital is basically the cost of the firms funds, or the cost required for the project. It is used to analyze and evaluate the firms position for having minimum return expected by investor in order to provide the capital to an investor or the firm. Therefore, the cost of capital is used to analyze the setting of benchmark in order to start the project. The cost of capital has two major components, the cost of debt and the cost of equity (Kothari, 2009).
Cost of Debt
The cost of debt is basically when the firms borrows money or funds in order to start the project. It is calculated by taking the risk free rate bonds whose time duration is being matched by the corporate debt, along with adding the default premium. If the debt amount is increased then the default premium also increases, keeping all others things constant,. However in many cases the expense is deductible, therefore it is calculated by the after tax cost for making comparable along with the cost of equity. Thus, for the firms who are profitable by the rate of tax, the formula for the cost of debt is (risk free rate + credit or the default risk)(1-t). For the approximation of the cost of debt, the yield to maturity can also be used (Guay, 2011).
Cost of Equity
Cost of equity is usually calculated by using following formula
Cost of Equity = Risk free Rate of Return + Premium Expected for Risk
However another formula for the calculation of the cost of equity is Risk free rate of return +Beta * (market rate of return - risk free rate of return).
Beta is called as the business risk.
Assuming
Risk-free rate of 5.5%.
Beta coefficient of 1.3.
Equity risk premium of 3.2%.
Cost of Equity
Risk-Free Rate + (Beta times Market Risk Premium)
5.5+(1.3*2.5)
Cost of Equity
8.75
Cost of Debt
0.9125
Tax Rate
30%
Cost of Capital
(8.75)*(1-0.30)+(0.9125)*(1-.30)
Cost of Capital
6.76375
Question # 3
Answer.
Let the expected return is 60000000, the actual rate of return will be 72000005.42