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 50%,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. $\begin{array}{lrlr}
\text { Last year's sales }=\mathrm{S}_{0} & \$ 300.0 & \text { Last year's accounts payable } & \$ 50.0 \
\text { Sales growth rate }=\mathrm{g} & 40 \% & \text { Last year's notes payable } & \$ 15.0 \
\text { Last year's total assets }=\mathrm{A}_{0} * & \$ 500.0 & \text { Last year's accruals } & \$ 20.0 \
\text { Last year's profit margin }=\mathrm{PM} & 20.0 \% & \text { Initial payout ratio } & 10.0 \%
\end{array}$

Question

Quizplus · Accepted Answer

$\begin{array}{l} \text { Last year's sales }=\mathrm{S}_{0} & \$300\ \text { Sales growth rate }=\mathrm{g} &40\%\ \text { Forecasted sales }=\mathrm{S}_{0} \times(1+\mathrm{g}) & \$420 \ \Delta \mathrm{S}=\text { change in sales }=\mathrm{S}_{1}-\mathrm{S}_{0}=\mathrm{S}_{0} \times g& \$120 \ \text { Last year's total assets }=\mathrm{A}_{0}{ }^{*}=\mathrm{A}_{0}{ }^{*} \text { since full capacity } & \$500\ \text { Last year's accounts payable } & \$50\ \text { Last year's notes payable. Not spontaneous, } \ \quad \text { so does not enter AFN calculation } & \$15\ \text { Last year's accruals } & \$20\ \mathrm{L}_{0}{ }^{*}=\text { payables }+\text { accruals } & \$70\ \text { Profit margin }=\mathrm{M} & 20\%\ \text { Initial payout ratio } &10 \%\ \text { New payout ratio } & 50\% \end{array}$ AFN = (A₀^*/S₀)F1F1F1S1F1F1F10S F1F1F1S1F1F1F10 (L₀^*/S₀)F1F1F1S1F1F1F10S F1F1F1S1F1F1F10 Profit margin F1F1F1S1F1F1F10 S₁ F1F1F1S1F1F1F10 (1 F1F1F1S1F1F1F10 Payout) Old AFN = $200.0 F1F1F1S1F1F1F10 $28.0 F1F1F1S1F1F1F10 $75.6 = $96.4 New AFN = $200.0 F1F1F1S1F1F1F10 $28.0 F1F1F1S1F1F1F10 $42.0 = $130.0 Change in AFN = $33.6

You Have Been Asked to Forecast the Additional Funds Needed