In: Finance
Jordan Inc has the following balance sheet and income statement data: Cash $14,000 Accounts payable $42,000 Receivables 70,000 Other current liabilities 28,000 Inventories 280,000 Total CL $70,000 Total CA $364,000 Long-term debt 140,000 Net fixed assets 126,000 Common equity 280,000 Total assets $490,000 Total liab. and equity $490,000 Sales $280,000 Net income 21,000 The new CFO thinks that inventories are excessive and could be lowered sufficiently to cause the current ratio to equal the industry average, 2.25, without affecting either sales or net income. Assuming that inventories are sold off and not replaced to get the current ratio to the target level, and that the funds generated are used to buy back common stock at book value, by how much would the ROE change? Do not round your intermediate calculations. a. 16.65% b. 20.07% c. 21.07% d. 22.13% e. 22.55%
Target Current ratio = | 2.25 | ||||||
Current ratio = Current Assets / Current liabilties | |||||||
2.25 = Current Assets / 70,000 | |||||||
So, Current Assets should be | 157500 | ||||||
Accounts receivable | 70000 | ||||||
Cash | 14000 | ||||||
So, inventory should be = | 157500 -70000-14000 | ||||||
73500 | |||||||
Excess inventory sold = 280000 - 73500 | |||||||
= | 206500 | ||||||
By this amount equity buy back is made. | |||||||
So, Remaining equity = 280000 - 206500 | |||||||
73500 | |||||||
Return on equity is Net income divided by equity | |||||||
Now, ROE = 21000 / 73500 * 100 | |||||||
28.57143 | |||||||
Existing ROE = 21000 / 280000 * 100 | |||||||
7.5 | |||||||
So, Change in ROE due to target inventory level is = | |||||||
28.57 - 7.5 | |||||||
21.07143 | or 21.07% | ||||||
So, Answer is (C ) 21.07%, ROE would change by 21.07% |