Principles of Corporate Finance_ 12th Edition

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A-8 Appendix Answers to Select Basic Problems


bre44380_app_A1-A10 8 10/09/15 08:14 PM



  1. The illogical ratios are a, b, d, e, and h. The correct
    definitions are
    Debt-equity ratio =
    long-term debt + value of leases

    equity
    Return on equity = __net income
    equity at start of year
    Days in inventory = _____COGS
    (inventory/365)
    Current ratio = __current assets
    current liabilities
    Times earned
    interest ratio
    =



  2. a. Sales = 3 × 500,000 = 1,500,000;
    after-tax interest + net income = .08 × 1,500,000 = 
    120,000; ROA = 120,000/500,000 = 24%;
    b. Net income = .08 × 3 × 500,000 − (1 − .35)
    × 30,000 = 100,500. ROE = net income/
    equity = 100,500/300,000 = .34.

  3. .73.; 3.65%

  4. Assume that new debt is a current liability.
    a. Current ratio goes from 100/60 = 1.67 to 120/80 = 1.50;
    cash ratio goes from 30/60 = .5 to 50/80 = .63;
    b. Long-term debt ratio is unchanged; total liabili-
    ties/total assets goes from 410/600 = .6833 to
    430/620 = .6935.

  5. $82 million.


CHAPTER 29


  1. Cash cycle (days) = 96 + 104 – 110 = 90.




COMMON-SIZE INCOME STATEMENT
Sales 100%
Cost of goods sold 41.7%
Selling, general, and administrative expenses 34.4%
Depreciation 4.3%
Earnings before interest & taxes 19.6%
Interest expense 0.4%
Taxable income 19.2%
Ta x 6.6%
Net income 4.8%
Addition to retained earnings 7.8%

_____________EBIT
interest expense

Cash Working Capital


  1. $2 million decline $2 million decline

  2. $2,500 increase Unchanged

  3. $50,000 decline Unchanged

  4. Unchanged $10 million increase

  5. Unchanged Unchanged

  6. $5 million increase Unchanged


d. (117.565/116.903) – 1 = .0057 or .57%.
e. 1 + r¥ = (116.903/117.565)1.015 = 1.009285. r¥ =
.9285%.
f. 117.429
g. (1 + 3-month Japanese inflation) = (117.429/117.565)
× (1 + U.S. 3-month inflation) = .9988 × U.S.
3-month inflation.



  1. a. 2,419 × 1.3/1.02 = R3,083 = $1.
    b. Real value of rupiah fell by 3,083/8,325 − 1 = .63, or
    63%.

  2. b

  3. It can borrow the present value of €1 million, sell the
    euros in the spot market, and invest the proceeds in an
    8-year dollar loan.

  4. a. NPV = 6.61 × 1.2 = $7.94 million.
    b.
    Year 0 1 2 3 4 5
    Forward rate 1.2 1.223 1.246 1.269 1.293 1.318
    $ millions − 96 12.23 24.91 29.19 34.92 32.94


c. It doesn’t. The company can always hedge against a
fall in the euro.


CHAPTER 28



  1. $ Thousands $ Thousands


Cash $ 25 $ 24 Accounts payable
Accounts receivable 35 24 Total current liabilities
Inventories 30 130 Long-term debt
Total current assets 90 76 Equity
Net plant & equipment 140
Total assets 230 230 Total liabilities & equity


Common-Size Balance Sheet
Percent Percent
Cash & marketable
securities

17.2% Accounts payable 20.9%

Accounts receivable 8.8 Other current
liabilities

7.4

Inventories 10.1 Total current
liabilities

28.3

Other current assets 2.7 Long-term debt 19.0
Total current assets 38.8 Other long-term
liabilities

3.7

Net fixed assets 32.7 Total liabilities 51.0
Other long-term assets 28.5 Total shareholders’
equity

49.0

Total assets 100 Total liabilities &
shareholders’ equity

100




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