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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.
The yield kick refers to the difference between the yield to maturity and the yield to the call date. Because the yield to maturity is higher than the yield to the call date, investors receive a higher rate of return (the yield kick) if the bonds are not called. For the issuer, the kick results in a higher True Interest Cost (TIC)*.