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Yield to maturity is the discount rate at which the sum of all future cash flows from the bond (coupons and principal) is equal to the price of the bond. The YTM is often given in terms of Annual Percentage Rate (A.P.R.), but more usually market convention is followed.
There is no formula that can be used to calculate the exact yield to maturity for a bond (except for trivial cases). Instead, the calculation must be done on a trial-and-error basis. This can be tedious to do by hand. Fortunately, the Rate() function in Excel can do the calculation quite easily.