FIN 540 CH 15 P1, 9, 10, 11,13

# FIN 540 CH 15 P1, 9, 10, 11,13 - 1 Corporate Voting The...

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1. Corporate Voting The shareholders of the Unicorn Company need to elect seven new directors. There are 600,000 shares outstanding currently trading at \$39 per share. You would like to serve on the board of directors; unfortunately no one else will be voting for you. a. How much will it cost you to be certain that you can be elected if the company uses straight voting? If the company uses straight voting, the board of directors is elected one at a time. You will need to own one-half of the shares, plus one share, in order to guarantee enough votes to win the election. So, the number of shares needed to guarantee election under straight voting will be: Shares needed = (600,000 shares / 2) + 1 Shares needed = 300,001 And the total cost to you will be the shares needed times the price per share, or: Total cost = 300,001 * \$39 Total cost = \$11,700,039 b. How much will it cost you if the company uses cumulative voting? If the company uses cumulative voting, the board of directors are all elected at once. You will need 1/( N + 1) percent of the stock (plus one share) to guarantee election, where N is the number of seats up for election. So, the percentage of the company’s stock you need is: Percent of stock needed = 1/( N + 1) Percent of stock needed = 1 / (7 + 1) Percent of stock needed = .1250 or 12.50% So, the number of shares you need to purchase is: Number of shares to purchase = (600,000 × .1250) + 1 Number of shares to purchase = 75,001 And the total cost to you will be the shares needed times the price per share, or: Total cost = 75,001 * \$39 Total cost = \$2,925,039

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9. Valuing Callable Bonds Illinois Industries has decided to borrow money by issuing perpetual bonds with a coupon rate of 8 percent, payable annually. The one-year interest rate is 8 percent. Next year, there is a 35 percent probability that interest rates will increase to 9 percent, and there is a 65 percent probability that they will fall to 6 percent. a. What will the market value of these bonds be if they are noncallable? The price of the bond today is the present value of the expected price in one year. So, the price of the bond in one year if interest rates increase will be: P1= \$80 + \$80 / .09 P1 = \$968.89 If interest rates fall, the price if the bond in one year will be: P1= \$80 + \$80 / .06 P1= \$1,413.33 Now we can find the price of the bond today, which will be: P0= [.35(\$968.89) + .65(\$1,413.33)] / 1.08
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## This note was uploaded on 05/10/2011 for the course FIN 540 taught by Professor Emil during the Spring '11 term at Aberystwyth University.

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FIN 540 CH 15 P1, 9, 10, 11,13 - 1 Corporate Voting The...

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