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Suppose you buy 300 shares of stock priced at $78

Finance Jan 24, 2021

Suppose you buy 300 shares of stock priced at $78.90 and sell the stock one year later for $83.20 after collecting a $0.60 dividend per share. Dividend income is taxed at a 28% rate and capital gains are taxed at 20%. What was your pre-tax holding period return? What was your after-tax holding period return? (5 Marks)

Expert Solution

Initial price = P0 = $78.9

Final price = P1 = $83.2

Dividend = D0 = $0.6

Tax on dividend income = 28%

Tax on Capital gains = 20%

Pre-tax capital gain = P1 - P0 = 83.2 - 78.9 = $4.3

Pre-tax dividend = $0.6

Pre-tax holding period return = [Pre-tax capital gain + Pre-tax dividend] / Initial price

Pre-tax holding period return = [4.3 + 0.6] / 78.9

Pre-tax holding period return = 4.9 / 78.9

Pre-tax holding period return = 0.0621 = 6.21%

Tax on dividend income = 28%

Tax on dividend income = 28% of 0.6 = 28% * 0.6

Tax on dividend income = $0.168

After tax dividend = Dividend - Tax on dividend income

After tax dividend = 0.6 - 0.168

After tax dividend = $0.432

Tax on Capital gains = 20%

Capital gains = P1 - P0 = 83.2 - 78.9

Capital gains = 4.3

Tax on capital gains = 20% of Capital gain = 20% * 4.3

Tax on capital gains = 0.86

After tax capital gain = Capital gains - Tax on capital gains

After tax capital gain = 4.3 - 0.86

After tax capital gain = $3.44

After-tax holding period return = [After tax dividend + After tax capital gain] / Initial price

After-tax holding period return = [0.432 + 3.44] / 78.9

After-tax holding period return = 3.872 / 78.9

After-tax holding period return = 0.0491 = 4.91%

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