The financial definition for Annualized gain:
If stock X appreciates 1.5% in one month, the annualized gain for that stock over a twelve month period is 121.5% = 18%. Compounded over the 12 month period, the gain is (1.015)^12 -1 = 19.6%.
Annualized holding period returnAnnualized holding period return
The annual rate of return that when compounded t times generates the same t-period holding return as actually occurred from period 1 to period t.
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