question archive Wayland Baptist University, LubbockFINA 3309 Quantitative Problem: Lane Industries is considering three independent projects, each of which requires a $2

Wayland Baptist University, LubbockFINA 3309 Quantitative Problem: Lane Industries is considering three independent projects, each of which requires a $2

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Wayland Baptist University, LubbockFINA 3309

Quantitative Problem: Lane Industries is considering three independent projects, each of which requires a $2.3 million investment. The estimated internal rate of return (IRR) and cost of capital for these projects are presented here:

Project H (high risk): Cost of capital = 13% IRR = 15%

Project M (medium risk): Cost of capital = 10% IRR = 8%

Project L (low risk): Cost of capital = 9% IRR = 10%

Note that the projects' costs of capital vary because the projects have different levels of risk. The company's optimal capital structure calls for 40% debt and 60% common equity, and it expects to have net income of $4,100,000. If Lane establishes its dividends from the residual dividend model, what will be its payout ratio? Round your answer to two decimal places.

____________  %

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Answer:

if firm follows residual dividend model, payout ratio will be 32.68%

Step-by-step explanation

Only that project will be chosen that have Cost of capital less than Internal rate of return.

Project H and Project L has cost of capital less than IRR. So only investment will be made in Project H and Project L

 

Total investment required for two projects =2300000*2 = 4600000

 

Equity portion of capital budget =60% of 4600000 =2760000

equity portion will be financed with retained earnings.

 

Residual dividend after financing budget through retained earnings = Net income - equity portion of budget

=4100000-2760000

 

=1340000

 

Payout ratio = dividend /net income

=1340000/4100000

=0.3268292683

or 32.68%

So if firm follows residual dividend model, payout ratio will be 32.68%

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