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Finding the central rate of mortality under a piecewise UDD assumption.

+2 votes
asked Mar 5 in BUS 3018F - Models by Njabulo.Dube (1,920 points)

Suppose that, in a certain group of lives, half of the deaths between ages \(x\) and \(x + 1\) are distributed evenly over the first 4 months of that year, i.e. between ages \(x\) and \(x+ \frac{1}{3} \), and the remainder are distributed evenly over the rest of the year. Find \(m_{x}\), the central rate of mortality, in terms of \(q_{x}\). 

1 Answer

+2 votes
answered Mar 7 by michwairish (400 points)

see attached the solution to the question. 

Solution.pdf (0,4 MB)