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You have been asked to forecast the additional funds needed (AFN) for Houston, Hargrove, & Worthington (HHW), which is planning its operation for the coming year

Finance Aug 23, 2020

You have been asked to forecast the additional funds needed (AFN) for Houston, Hargrove, & Worthington (HHW), which is planning its operation for the coming year. The firm is operating at full capacity. Data for use in the forecast are shown below. However, the CEO is concerned about the impact of a change in the payout ratio from the 10% that was used in the past to 40%, which the firm's investment bankers have recommended. Based on the AFN equation, by how much would the AFN for the coming year change if HHW increased the payout from 10% to the new and higher level? All dollars are in millions.

 

Last year's sales = S0 $300.0 Last year's accounts payable $50.0

Sales growth rate = g 40% Last year's notes payable $15.0

Last year's total assets = A0* $500 Last year's accruals $20.0

Last year's profit margin = PM 20.0% Initial payout ratio 10.0%

Select the correct answer.

 

a. $19.8

b. $28.8

c. $23.4

d. $21.6

e. $25.2

Expert Solution

Computation of Change in AFN:

Additional Funds Needed = [A0 * (ΔS / S0)] - [L0 * (ΔS / S0)] - [S1 * PM * b]

Here,

Ao = current level of assets

Lo = current level of liabilities

ΔS/So = percentage increase in sales i.e. change in sales divided by current sales

S1 = new level of sales

PM = profit margin

b = retention rate = 1 - payout rate

 

AFN(Old Payout Ratio) = [$500 * 0.40] - [($50 + $20) * 0.40] - [($300 * 1.40) * 0.20 * (1 - 0.10)]

= $200 - $28 - $75.6

= $96.40

 

AFN(New Payout Ratio) = [$500 * 0.40] - [($50 + $20) * 0.40] - [($300 * 1.40) * 0.20 * (1 - 0.40)]

= $200 - $28 - $50.40

= $121.60

 

Change in AFN = AFN(New Payout Ratio) - AFN(Old Payout Ratio) = $121.60 - $96.40 = $25.20

So, the correct option is E "$25.20".

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