Question 19.ss.3: Use the financial statements from Problem 19.1 and the infor...

Use the financial statements from Problem 19.1 and the information from Problem 19.2 to calculate the company’s retention (plowback) ratio, external funds needed (EFN), internal growth rate (IGR), and sustainable growth rate (SGR).

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The retention (plowback) ratio, external funds needed, internal growth rate, and sustainable growth rate are calculated as follows:

\begin{matrix} \text{Retention (plowback) ratio} &=&\frac{ \text{Addition to retained earnings}}{ \text{Net income}} \\ \\ &=&\frac{\$159,985}{\$290,882} \\ \\ &=&0.55, \ or \ 55\% \end{matrix} \begin{matrix} EFN &=& ( \text{Growth rate} \times \text{Initial assets)-Addition to retained earnings} \\ &=&(0.20 \times \$574,552)-\$159,985 \\ &=&-\$45,075 \end{matrix}

Thus, without considering the investment of $225,000 for the new facility, the firm will not need any external financing. However, if you add the investment, then,

\begin{matrix} EFN &=& \text{New investments-Addition to retained earnings} \\ &=&(0.20 \times \$574,552)+\$225,000-\$159,985 \\ &=& \$179,925 \end{matrix}

 

\begin{matrix} IGR &=& \frac{ \text{Addition to retained earnings}}{\text{Initial assets}}\\ \\ &=&\frac{\$159,985}{\$574,552} \\ \\ &=& 0.278, \ or \ 27.8\% \end{matrix}

 

\begin{matrix} SGR &=& \text{Plowback ratio} \times ROE \\ \\ &=& \frac{ \text{Addition to retained earnings}}{ \text{Net income}} \times \frac{ \text{Net income}}{ \text{Total equity}} \\ \\ &=&0.55 \times 0.715 \\ \\ &=&0.393, \ or \ 39.3 \% \end{matrix}

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