CONTINGENCIES Guarantees We issue guarantees to certain lenders and hotel owners, chiefly to obtain long-term management contracts. The guarantees generally have a stated maximum funding amount and a term of four to ten years. The terms of guarantees to lenders generally require us to fund if cash flows from hotel operations are inadequate to cover annual debt service or to repay the loan at the end of the term. The terms of the guarantees to hotel owners generally require us to fund if the hotels do not attain specified levels of operating profit. Guarantee fundings to lenders and hotel owners are generally recoverable as loans repayable to us out of future hotel cash flows and/or proceeds from the sale of hotels. We also enter into project completion guarantees with certain lenders in conjunction with hotels that we or our joint venture partners are building. We measure and record our liability for the fair value of a guarantee on a nonrecurring basis, that is when we issue or modify a guarantee, using Level 3 internally developed inputs. We generally base our calculation of the estimated fair value of a guarantee on the income approach or the market approach, depending on the type of guarantee. For the income approach, we use internally developed discounted cash flow and Monte Carlo simulation models that include the following assumptions, among others: projections of revenues and expenses and related cash flows based on assumed growth rates and demand trends; historical volatility of projected performance; the guaranteed obligations; and applicable discount rates. We base these assumptions on our historical data and experience, industry projections, micro and macro general economic condition projections, and our expectations. For the market approach, we use primarily market comparable data and assumptions about market capitalization rates, credit spreads, growth rates, and inflation. We show the maximum potential amount of our future guarantee fundings and the carrying amount of our liability for guarantees f