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The challenge that the CAPE (Cyclically Adjusted Price-to-Earnings) model faces stems from changes in accounting methods affecting earnings comparisons. The CAPE model adjusts price by using average inflation-adjusted earnings over a 10-year period to smooth out fluctuations in earnings that can skew the P/E ratio. However, if there are changes in accounting standards or methods that affect how earnings are reported, it can lead to inconsistency in the earnings data that the CAPE model relies on. This inconsistency makes it difficult to accurately compare past performance with current valuations, thereby potentially invalidating the conclusions drawn from the model.

Other options describe different aspects of financial modeling and analysis. While past performance analysis can be a part of some models, the CAPE model does incorporate historical earnings data. It does not strictly rely only on projected future cash flows, as it focuses on historical data. Additionally, while the CAPE model aggregates earnings into a single variable for comparison, this simplification is typical of many financial ratios and not a unique challenge specific to the CAPE model.