Complete Guide to CAGR Calculation

Understand the formula for CAGR and its significance in evaluating long-term investment performance.

What is CAGR?

Basic Definition

Compound Annual Growth Rate (CAGR) is a measure of an investment's annual growth rate over a specified time period, assuming profits are reinvested at the end of each period. The formula for CAGR is:

\[ \text{CAGR} = \left( \frac{\text{Ending Value}}{\text{Beginning Value}} \right)^{\frac{1}{\text{Number of Periods}}} - 1 \]

  • Provides a smoothed annual growth rate
  • Facilitates investment performance comparison
  • Helps in simplifying decision-making processes
  • Important for long-term investment analysis

Key Advantages

Eliminates the impact of annual volatility for clearer comparisons

Helps investors to understand the true growth rate over time

Useful for evaluating different investment opportunities

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Function Syntax

XLOOKUP(lookup_value, lookup_array, return_array, [if_not_found], [match_mode], [search_mode])

lookup_value

The value to search for

lookup_array

The range to search within

return_array

The range containing the return values

if_not_found (Optional)

Value to return if no match is found

match_mode (Optional)

0: Exact match; -1: Exact or next smaller; 1: Exact or next larger

search_mode (Optional)

1: First-to-last; -1: Last-to-first; 2: Binary search

Learn more about the formula for CAGR

Usage Examples

Basic Example

基础示例

Looking up contact phone number for a specified customer ID in customer data table

=XLOOKUP(A2, B2:B10, C2:C10)

Advanced Example

高级示例

Cross-sheet lookup with multiple matching results

=XLOOKUP(A2, Sheet2!B:B, Sheet2!C:E, "Not Found", 0)
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Troubleshooting

#N/A Error

Common error when no match is found, can be handled by setting the if_not_found parameter

Data Type Mismatch

Ensure lookup value and range data types match

Performance Optimization

Use binary search mode to improve efficiency with large datasets

Function Comparison

Feature XLOOKUP VLOOKUP INDEX+MATCH
Lookup Direction Bi-directional Right only Bi-directional
Multiple Column Return Supported Not supported Supported
Error Handling Built-in Additional handling needed Additional handling needed
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