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Unformatted text preview: Homework 1 (with solutions) Chapter 2 #6 Find the after tax return to a corporation that buys a share of preferred stock @ $40, sells it at year end @ $40, and receives a $4 yearend dividend. The firm is in the 30% Tx bracket. Solution The total beforetax income is $4. After the 70% exclusion ( preferred stock ), taxable income is: (0.30 $4) = $1.20. Therefore: Taxes = (0.30 $1.20) = $0.36 Aftertax income = ($4  $0.36) = $3.64 Aftertax rate of return = ($3.64/$40) = 9.1% #9 Using the data below, calculate the first period rates of return on the following indexes and stocks a. market valueweighted index b. equally weighted index Stock P Q 1 P 1 Q 2 P 2 Q A 90 100 95 100 95 100 B 50 200 45 200 45 200 C 100 200 110 200 55 400 Note: k P and k Q stand for the price and quantity at period t , respectively. Solution a. Total market value at t = 0 is: (9,000 + 10,000 + 20,000) = 39,000 Total market value at t = 1 is: (9,500 + 9,000 + 22,000) = 40,500 Rate of return = (40,500/39,000) 1 = 3.85% b. The return on each stock is as follows: r A = (95/90) 1 = 0.0556 r B = (45/50) 1 = 0.10 r C = (110/100) 1 = 0.10 The equallyweighted average is: [0.0556 + (0.10) + 0.10]/3 = 0.0185 = 1.85% #11 Suppose that short term municipal bonds offer yields of 4%, while taxable bonds pay 5%. Which gives the higher after tax yield if the Tx bracket is a. Zero b. 10% c. 20% d. 30% Solution a. The taxable bond. With a zero tax bracket, the aftertax yield for the taxable bond is the same as the beforetax yield (5%), which is greater than the yield on the municipal bond. b. The taxable bond. The aftertax yield for the taxable bond is: [0.05 (1 0.10)] = 4.5% c. You are indifferent. The aftertax yield for the taxable bond is: [0.05 (1 0.20)] = 4.0% The aftertax yield is the same as that of the municipal bond. d. The municipal bond offers the higher aftertax yield for investors in tax brackets above 20%. Chapter 3 #3 D Trader opens brokerage account, purchases 300 shares of S @40 per share. Borrows $4,000 from broker; interest on loan is 8%. a. what is the margin for the first purchase? b. If price is down to $30 per share at the end of the year, what is the remaining margin? If the maintenance margin is 30%, will there be a call? c. What is the rate of return on this investment? Solution a. The stock is purchased for (300 $40) = $12,000. The amount borrowed is $4,000. Therefore, the investor put up equity, or margin, of $8,000. b. If the share price falls to $30, then the value of the stock falls to $9,000. By the end of the year, the amount of the loan owed to the broker grows to: ($4,000 1.08) = $4,320. Therefore, the remaining margin in the investors account is: ($9,000 $4,320) = $4,680....
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