If an entity does not expect to recover the carrying amount of an asset, the entity has incurred a/an

Impairment loss.

Here are the steps to determine this:

1. Identify the carrying amount of the asset: The carrying amount of an asset is the amount at which an asset is recognized after deducting any accumulated depreciation (amortization in case of intangible assets) and accumulated impairment losses.

2. Estimate the recoverable amount of the asset: The recoverable amount of an asset is the higher of an asset's fair value less costs to sell and its value in use.

3. Compare the carrying amount and the recoverable amount: If the carrying amount of an asset exceeds its recoverable amount, the asset is considered impaired and the entity has to recognize an impairment loss.

4. Recognize the impairment loss: The impairment loss is recognized in the profit and loss account. If the asset is revalued, the loss is treated as a revaluation decrease.

So, if an entity does not expect to recover the carrying amount of an asset, it means that the recoverable amount of the asset is less than its carrying amount, indicating that the entity has incurred an impairment loss.