Annual minimum rate of return guarantees are analyzed together with rules: for the distribution of excess return, i.e., annual return above the guarantee. The set of, in a specific sense, fair contracts is charactcrizcd with and without a bonus account consisting of accumulated...

We derive a unified model which gives closed form solutions for caps and floors written on interest rates as well as puts and calls written on zero-coupon bonds. The crucial assumption is that forward rates with a compounding period that matches the contract, which we want to price, is...

We analyze minimum rate of return guarantees for life insurance (investment) contracts and pension plans with L smooth surplus distribution mechanism. We specifically model the smoothing mechanism used by most Danish life insurance companies and pension funds...