Compute the total capital stock and depreciation for the remainder of the five-year period. Round all answers to the nearest whole number.

FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
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Growth, Capital, Accumulation, and the Economics of Ideas: End of Chapter Problem

Let’s keep track of a nation’s capital stock for five years. Mordor starts off with 1,000 machines, and every year, 5% of the machines depreciate, or wear out. Fortunately, the people in this land produce 75 machines per year, every year. The key equation for keeping track of capital is quite simple:

???? ????'? ???????=???? ????'? ???????+??????????−????????????

In Year 1, Mordor has 1,000 machines, loses 0.05×1,000=50 machines to depreciation, and gains 75 machines, resulting in 1,000−50+75=1,025 machines at the start of Year 2. Compute the total capital stock and depreciation for the remainder of the five-year period. Round all answers to the nearest whole number.

 
Depreciation, Year 2:
 
machines lost
Total capital, Year 3:
 
machines
Depreciation, Year 3:
 
machines lost
Total capital, Year 4:
 
machines
Depreciation, Year 4:
 
machines lost
Total capital, Year 5:
 
machines
Depreciation, Year 5:
 
machines lost
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