### CFA Practice Question

There are 201 practice questions for this study session.

### CFA Practice Question

Consider the following information:

At the beginning of the period:

• Book value of total assets: \$100 million.
• Debt/equity ratio: 0.25.

Ratios for the period:

• Total assets turnover: 2.
• Net profit margin: 10%.
• Dividend payout rate: 30%.

Other information:

• Beta: 1.2.
• Risk-free rate: 3%.

The firm's residual income for the period is:
Correct Answer: Beginning book value of equity = total assets x equity weight = \$100 x 0.80 = \$80.
ROE = Net profit margin x Total asset turnover x Equity multiplier = 0.10 x 2 x (1/0.8) = 0.25.
Required return on equity: risk-free rate + beta x equity premium = 0.03 + 1.2 x .08 = 0.126.
RI = Beginning book value of equity x (ROE - cost of equity) = \$80 x (0.25 - 0.126) = \$9.92 million.

User Comment
MGM13 Isn't the equity weighting 75%, not 80%?
hkcfa2 Debt/equity ratio: 0.25 => equity is 80% of the total assets.
NufaNka 1 / (0,25 + 1) = 0,80
danlan2 RI=(ROE-r)*E=(1.25*2*0.1-0.126)*80=9.92
PASS0808 Total asset turnover*net profit margin =NI/TA = 2*10% = 20% =>NI = 20%*100 = 20 M
Re *We*asset = charge on equity = 12.6*.8*100 = 10.08 M
RI = NI- charge to equity = 20-10.08 = 9.92
LloydBraun7 Debt:Equity analagy....if your you have 0.25 apples for every orange, it means that for every 1 apple you have 4 oranges. Hence, you have 1 apple for every 5 fruits, so your apples weighting is 20%.
Leese Good question - I'm sure CFA exam will do lots of that...making us fill in the blanks (eg here equity multiplier)
davcer Ni=.10x2x1.25=roe x equity = .25x80= 20
Ri= 20- (80x.126)= 9.92
Sp1993 Alternative this could be worked out in a simpler way using RI = Net Income - Equity Charge
Where Equity Charge = Equity Capital * r
Work out r as 0.126 using CAPM inputs given in Q.
Equity Capital is 0.8 * 100,000,000 = 80,000,000
Since Total Asset Turnover = 2, Revenue must be 200,000,000 and using the 10% Net Profit Margin we can calculate Net Income as 20,000,000.

Finally, 20,000,000 - (80,000,000 * 0.126) = Residual Income
Residual Income = 9,920,000

:D