3 In-Class Exc Ch III SOLVED
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Quinnipiac University - School of Business
FIN 201 - Fundamentals of Financial Management
Solutions - In-class Exercises Chapter III Q1:
Ileie, Inc., has a debt-to-equity ratio of 0.37, profit margin of 12 per cent, and return on equity of 20 per cent. What is its equity multiplier? D/E = 0.37
PM = 0.12
ROE = 0.2
EM = TA/TE or EM = 1 + D/E EM =
1 + 0.37 = 1.37x
Q2:
Spring Park Zoo has a profit margin of 11 per cent, total asset turnover of 1.05, and ROE of 14.41 per cent. a.
What is this firm’s debt-equity ratio? PM = 0.11
TAT = 1.05
ROE = 0.1441
D/E =? D/E = TD/TE or D/E = EM – 1
DuPont Identity
ROE = PM × TAT × EM ROE = 0.1441 = 0.11 × 1.05 × EM
0.1441 = 0.1155 × EM
EM = 0.1441/0.1155
= 1.247619x
D/E =
EM – 1 = 1.247619x – 1 = 0.247619x
b.
What is the Zoo’s total debt ratio?
TDR = TD/TA
D/E = TD/TE = 0.247619
TD = 0.247619 × TE
TE = TD/0.247619 = 1/0.247619
× TD TE = 4.03846 × TD TA = TD + TE = TD + 4.03846 × TD = 5.03846 × TD
TDR =
TD/TA = TD/(5.03846 × TD) = 1/5.03846 = 0.198473
19.8473%
Q3:
Calculate Pure, Inc.’s ROE using the ratio function and then confirm this value computing both iterations of the DuPont identity.
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Date:
Pure, Inc. 2021 Income Statement
Pure, Inc. Balance Sheets as of December 31, 2021
Sales
$187,370
Assets
Liabilities & Owners’ Equity
Cost of Goods
Sold
$126,203
Accts Payable
$2,600
Depreciation
$5,333
Cash
$3,307
Notes Payable
$2,116
EBIT
$55,834
Accts. Receivable
$5,781
Other
$107
Interest Paid
$1,430
Inventory
$13,782
Current Liabilities
$4,823
Taxable Income
$54,404
Current Assets
$22,870
L-T Debt
$16,16
0
Taxes
$19,041
Net Income
$35,363
Net Fixed Assets
Common Stock
$38,00
0
Plant &
Equipment
$75,225
Add Ret Earnings
$39,11
2
Dividends
$11,905
Total Equity
$77,11
2
Retained
Earnings
$23,458
Total Assets
$98,095
Tot. Debt & Equity
$98,09
5
1. ROE =
NI/ TE = $35,363/$77,112 = 0.458593
45.8593%
2.
ROE = ROA × EM ROA = NI/ TA = $35,363/$98,095 = 0.360497
36.0497%
EM = TA/ TE = $98,095 /$77,112 = 1.272111x
ROE =
ROA × EM = 0.360497 × 1.272111 = 0.458593
45.8593%
3.
ROE = PM × TAT × EM PM = NI/ Sales = $35,363/$187,370 = 0.188734
18.8734%
TAT = Sales/ TA = $187,370/$98,095 = 1.910087x
EM = 1.272111x
ROE =
PM × TAT × EM = 0.188734 × 1.910087 × 1.272111 = 0.458593
45.8593%
Q4:
Candy Co. has total assets of $9,300,000 and a total asset turnover of 2.43 times. Assume the return on assets is nine per cent. What is its profit margin?
TAT = $9,300,000
TAT = 2.43x
ROA = 0.09
PM = NI/ Sales =?
TAT = Sales/ TA = 2.43x
Sales/ TA = 2.43x
Sales/ $9,300,000 = 2.43x
Sales = 2.43 × $9,300,000
Sales = $22,599,000
ROA = NI/ TA = 0.09
NI/ $9,300,000 = 0.09
NI = $9,300,000 × 0.09
NI = $837,000
PM =
NI/ Sales = $837,000/ $22,599,000 = 0.037037
3.7037%
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