Life Table Construction

Constructed a Life Table Using "Rules of Thumb" and Dr. Schmertmann's Cookbook

We must first construct mortality rates using outside source:

_{n}m_{x}(y_{1},y_{2}) =

[(# of deaths, ages x-(x+n))/(y_{1} to y_{2})]

[(person-years lived x-(x+n))/(y_{1} to y_{2})]

Mortality rates do not tell us how long an individual born in that year will live

We need "m to q" conversion formulas:

q=(m*n)/[(1+m)n-a] where q is the probability of dying

Rules of Thumb about _{n}a_{x} values:

1._{1}a_{0}=.07+1.7(_{1}m_{0})

2._{4}a_{1}=1.5

3._{∞}a_{x}=1/(_{∞}m_{x}) (last, open interval)

4._{n}a_{x}=n/2 (for every other interval)

Cookbook:

1. Calculate _{n}m_{x} from external sources

2. Fill in "a" column using rules of thumb

3. Use m to get q

4. Use q to get l

5. Use l to get d

6. Use l, a, d to get L

7. Use L to get T (calculate by summing from from bottom up)

8. Use T,l to get e