Problem 1.
9 Americo's Earnings and the Fall of the Dollar
The U.S. dollar has experienced significant swings in value against most of the world's currencies in recent years.
a. What would be the impact on Americo’s consolidated EPS if all foreign currencies were to appreciate 20% against the U.S. dollar?
b. What would be the impact on Americo’s consolidated EPS if all foreign currencies were to depreciate 20% against the U.S. dollar?
Baseline exchange rate (fc/$)                                      -----                 1.8000
Percent change (+ appreciation, - depreciation)                                             20%
New exchange rate (fc/$)                                                                 1.5000
Appreciation Case                                           U.S. Parent               Brazilian
                                                             Company                 Subsidiary
Business Performance (000s)                                       (US$)              (reais, R$)
Earnings before taxes, EBT (local currency)                   4,500.00                 6,250.00
Less corporate income taxes                       35%        (1,575.00)    25%        (1,562.50)     40%
Net profits of individual subsidiary                          2,925.00                 4,687.50
Avg exchange rate for the period (fc/$)                           ------                 1.5000
Net profits of individual subsidiary (US$)              $     2,925.00           $     3,125.00
Consolidated profits (total across units)               $    10,937.67
Total diluted shares outstanding (000s)                         650.00
Baseline earnings per share (EPS)                       $        14.77
EPS if foreign currencies appreciate                    $        16.83           EPS has changed by:
Baseline exchange rate (fc/$)                                      -----                 1.8000
Percent change (+ appreciation, - depreciation)                                            -20%
New exchange rate (fc/$)                                                                 2.2500
Depreciation Case                                           U.S. Parent               Brazilian
                                                             Company                 Subsidiary
Business Performance (000s)                                       (US$)              (reais, R$)
Earnings before taxes, EBT (local currency)                   4,500.00                 6,250.00
Less corporate income taxes                       35%        (1,575.00)    25%        (1,562.50)     40%
Net profits of individual subsidiary                          2,925.00                 4,687.50
Avg exchange rate for the period (fc/$)                           ------                 2.2500
Net profits of individual subsidiary (US$)              $     2,925.00           $     2,083.33
Consolidated profits (total across units)               $     8,266.78
Total diluted shares outstanding (000s)                         650.00
Baseline earnings per share (EPS)                       $        14.77
EPS if foreign currencies depreciate   $   12.72   EPS has changed by:
cies in recent years.
 ppreciate 20% against the U.S. dollar?
depreciate 20% against the U.S. dollar?
                       0.7018                    7.7500
                          20%                       20%
                       0.5848                    6.4583
                     German                     Chinese
                   Subsidiary                 Subsidiary
                    (euros, €)                 (yuan, Y)
                      4,500.00                 2,500.00
                     (1,800.00)    30%          (750.00)
                      2,700.00                 1,750.00
                        0.5848                   6.4583
               $      4,616.70            $      270.97
                        13.9%
                       0.7018                    7.7500
                         -20%                      -20%
                       0.8773                    9.6875
                     German                     Chinese
                   Subsidiary                 Subsidiary
                    (euros, €)                 (yuan, Y)
                      4,500.00                 2,500.00
                     (1,800.00)    30%          (750.00)
                      2,700.00                 1,750.00
                        0.8773                   9.6875
               $      3,077.80            $      180.65
-13.9%