Calculate the market value of each firm


Question: Each of the six firms in the table below is expected to pay the listed dividend payment every year in perpetuity. 

Firm             Dividend ($million)            Cost of capital (% /year)
S1            10                           8
S2            10                          12
S3            10                          14
B1            100                         8
B2            100                        12
B3            100                        14

Q1. Using the cost of capital in the table, calculate the market value of each firm.

Q2. Rank the three S firms by their market values and look at how their cost of capital is ordered.  What would be the expected return for a self financing portfolio that went long on the firm with the largest market value and shorted the firm with the lowest market value?  (the expected return of a self financing portfolio is the weighted average return of the consituent securities.   Repeat using B firms.

Q3. Rank all six firms by their market values.  How does this ranking order the cost of capital?  What would be the expected return for a self financing portfolio that went long on the firm with the largest market value and shorted the firm with the lowest market value?

Q4. Repeat part ( c) but rank the firms by the dividend yield instead of the market value.  What can you conclude about the dividend yield ranking compared to the market value ranking? 

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Finance Basics: Calculate the market value of each firm
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