Asked by Araceli Zambrano on Apr 27, 2024

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The expected average rate of return for a proposed investment of $4,800,000 in a fixed asset, using straight-line depreciation, with a useful life of 20 years, no residual value, and an expected total net income of $10,560,000 over the 20 years, is

A) 24%
B) 22%
C) 45%
D) 10%

Straight-Line Depreciation

A method of allocating the cost of a fixed asset evenly across its useful life, resulting in a consistent depreciation expense each accounting period.

Useful Life

Useful life refers to the estimated timeframe during which an asset is expected to be economically usable by an entity, with reasonable efficiency.

Average Rate of Return

A measure of the profitability of an investment, calculated as the average annual profit returned on an investment, expressed as a percentage of the initial investment cost.

  • Work out and articulate the predicted average yield on investments.
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ZK
Zybrea KnightMay 03, 2024
Final Answer :
B
Explanation :
The annual net income is calculated as $10,560,000/20 = $528,000. The annual depreciation is calculated as $4,800,000/20 = $240,000. Therefore, the annual cash inflow is $528,000 + $240,000 = $768,000. The expected average rate of return is calculated as ($768,000/$4,800,000) x 100% = 16%. Since the investment has a useful life of 20 years, the average rate of return over the 20 years is 16% x 20 = 320%. Dividing by 20 gives an expected average rate of return of 16%. However, since the options are not close to 16%, the closest option is B, with an expected rate of return of 22%. Therefore, the best choice is B.