My intention is to give some simple illustrations of the difficulties which arise when the market rate of interest has sunk below the limit of solvency for parts of a company's stock of life contracts. In fact, the “partial liquidation” which at such a contingency would appear most natural to the unbiased mind of an actuary, does not seem to be seriously contemplated in insurance legislation. As regards Sweden, this mathematically correct reduction of the liabilities of some of the contracts could perhaps be realized within the legal frame in Mutual Offices. But it is impossible for other companies. It seems therefore necessary to attack the problem from the purely actuarial point of view. If we can find a technically satisfactory solution, it might then be possible to go farther with the question of giving the procedure legal shape.