Observations on reversionary payments; on schemes for providing annuities for widows, and for persons in old age; on the method of calculating the values of assurances on lives; and on the national debt. Also, essays on different subjects in the doctrine of life-annuities and political arithmetic; a collection of new tables, and a postscript on the population of the kingdom. By Richard Price, D.D. F.R.S. To which are added, algebraical notes, the solution of several new problems in the doctrine of annuities, and a general introduction. By William Morgan, F.R.S.