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Chartered Financial Analyst Level 1

Chartered Financial Analyst Level 1

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A company projects its revenue to increase by 50% over the next four years. The compound annual growth rate (CAGR) is most likely:

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Explanation:

The correct answer is A (10.7%). The compound annual growth rate (CAGR) is calculated using the formula:

g=(FVPV)1N−1g = \left( \frac{FV}{PV} \right)^{\frac{1}{N}} - 1g=(PVFV​)N1​−1

where:

  • FVFVFV is the future value (1.5 times the present value),
  • PVPVPV is the present value (assumed to be 1 for simplicity),
  • NNN is the number of periods (4 years).

Substituting the values:

g=(1.5)14−1≈0.10668 or 10.7%g = (1.5)^{\frac{1}{4}} - 1 \approx 0.10668 \text{ or } 10.7\%g=(1.5)41​−1≈0.10668 or 10.7%

Option B (11.8%) is incorrect as it uses a logarithmic approach, which is not applicable here. Option C (12.5%) is incorrect as it simply divides the total growth by the number of years, ignoring compounding effects.

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