royal caribbean cruises ltd . 79 notes to the consolidated financial statements in 2012 , we determined the implied fair value of good- will for the pullmantur reporting unit was $ 145.5 mil- lion and recognized an impairment charge of $ 319.2 million based on a probability-weighted discounted cash flow model further discussed below . this impair- ment charge was recognized in earnings during the fourth quarter of 2012 and is reported within impair- ment of pullmantur related assets within our consoli- dated statements of comprehensive income ( loss ) . during the fourth quarter of 2014 , we performed a qualitative assessment of whether it was more-likely- than-not that our royal caribbean international reporting unit 2019s fair value was less than its carrying amount before applying the two-step goodwill impair- ment test . the qualitative analysis included assessing the impact of certain factors such as general economic conditions , limitations on accessing capital , changes in forecasted operating results , changes in fuel prices and fluctuations in foreign exchange rates . based on our qualitative assessment , we concluded that it was more-likely-than-not that the estimated fair value of the royal caribbean international reporting unit exceeded its carrying value and thus , we did not pro- ceed to the two-step goodwill impairment test . no indicators of impairment exist primarily because the reporting unit 2019s fair value has consistently exceeded its carrying value by a significant margin , its financial performance has been solid in the face of mixed economic environments and forecasts of operating results generated by the reporting unit appear suffi- cient to support its carrying value . we also performed our annual impairment review of goodwill for pullmantur 2019s reporting unit during the fourth quarter of 2014 . we did not perform a quali- tative assessment but instead proceeded directly to the two-step goodwill impairment test . we estimated the fair value of the pullmantur reporting unit using a probability-weighted discounted cash flow model . the principal assumptions used in the discounted cash flow model are projected operating results , weighted- average cost of capital , and terminal value . signifi- cantly impacting these assumptions are the transfer of vessels from our other cruise brands to pullmantur . the discounted cash flow model used our 2015 pro- jected operating results as a base . to that base , we added future years 2019 cash flows assuming multiple rev- enue and expense scenarios that reflect the impact of different global economic environments beyond 2015 on pullmantur 2019s reporting unit . we assigned a probability to each revenue and expense scenario . we discounted the projected cash flows using rates specific to pullmantur 2019s reporting unit based on its weighted-average cost of capital . based on the probability-weighted discounted cash flows , we deter- mined the fair value of the pullmantur reporting unit exceeded its carrying value by approximately 52% ( 52 % ) resulting in no impairment to pullmantur 2019s goodwill . pullmantur is a brand targeted primarily at the spanish , portuguese and latin american markets , with an increasing focus on latin america . the persistent economic instability in these markets has created sig- nificant uncertainties in forecasting operating results and future cash flows used in our impairment analyses . we continue to monitor economic events in these markets for their potential impact on pullmantur 2019s business and valuation . further , the estimation of fair value utilizing discounted expected future cash flows includes numerous uncertainties which require our significant judgment when making assumptions of expected revenues , operating costs , marketing , sell- ing and administrative expenses , interest rates , ship additions and retirements as well as assumptions regarding the cruise vacation industry 2019s competitive environment and general economic and business conditions , among other factors . if there are changes to the projected future cash flows used in the impairment analyses , especially in net yields or if certain transfers of vessels from our other cruise brands to the pullmantur fleet do not take place , it is possible that an impairment charge of pullmantur 2019s reporting unit 2019s goodwill may be required . of these factors , the planned transfers of vessels to the pullmantur fleet is most significant to the projected future cash flows . if the transfers do not occur , we will likely fail step one of the impairment test . note 4 . intangible assets intangible assets are reported in other assets in our consolidated balance sheets and consist of the follow- ing ( in thousands ) : .
for 2013 and 2014 , what is the mathematical range for foreign currency translation adjustments?
during the fourth quarter of 2014 , 2013 and 2012 , we performed the annual impairment review of pullmantur 2019s trademarks and trade names using a discounted cash flow model and the relief-from-royalty method to compare the fair value of these indefinite-lived intan- gible assets to its carrying value . the royalty rate used is based on comparable royalty agreements in the tourism and hospitality industry . we used a dis- count rate comparable to the rate used in valuing the pullmantur reporting unit in our goodwill impairment test . based on the results of our testing , we did not .