Some New Formulae Connected with the Working of a Superannuation Fund

In the paper on "An Actuarial Study of a Superannuation Fund for the Teachers of the Madras Presidency" read at the Fourth Indian Mathematical Conference, the writer exhaustively dealt with the fundamental principles that govern the working of such funds, the methods of tabulation and graduation to be adopted, the commutation columns necessary for calculating the present values of future liabilities due to withdrawal, mortality and retirement, and lastly various points of purely actuarial interest arising out of valuation of such funds. The mathematical formula; which form Part II of the paper are extracted below.