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Basic Question 0 of 4

At the end of 2011, 40% of DIY Software, Inc.'s $1 million in total assets were debt-financed. The company's cost of debt was 6 percent, and its cost of equity was 12 percent.

2011 EBIT was $200,000, and is expected to remain constant. Income was taxed at 40 percent. The 50,000 shares of common stock outstanding had a year-end 2011 book value of $12.00 per share. The dividend payout ratio was 100%.

Calculate the intrinsic value of a share of stock.

User Contributed Comments 7

User Comment
ikaneng alternatively: (capital charge)
RI = EBIT(1-T) minus (WACC X Total assets)
WACC = (40% x 6% x (1 - 40%)) + (60% x 12%) = 8.64%
200000 (1 - 40%) minus (8.64% x 1000000)
RI = 33600
gaai Or just 105,600/12%/50,000
rhardin Or just take P/E = 1/r. Which is P/2.112 = 1/.12 and solve for Price.

The 2.112 is just the earnings per share.
davcer RI and Gordon are consistent
Sp1993 To calculate rBVPS at t-1 (beginning BVPS), since all the earnings are paid out as dividends (dividend ratio 100%), the BVPS ending is the same as the BVPS beginning = 12.00.
davidt876 note that rhardin's formula is just the per share equivalent of gaai's formula. and that the only reason they work here is because EBIT is unchanging and therefore the stock is a perpetuity.

those formulas will not work for questions where EBIT is expected to change
ashish100 Oooooh that felt good. Got it right. God bless you all
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Colin Sampaleanu

Colin Sampaleanu

Learning Outcome Statements

explain fundamental determinants of residual income;

explain the relation between residual income valuation and the justified price-to-book ratio based on forecasted fundamentals;

calculate and interpret the intrinsic value of a common stock using single-stage (constant-growth) and multistage residual income models;

CFA® 2025 Level II Curriculum, Volume 4, Module 24.