BUS3024S Test 2 2007 (1).pdf (0,2 MB)

In the above question paper, I refer to question 5 (c). The memo says that we should see the biggest difference between the independent and dependent rates in the (dependent??) rates which are the lowest.

\[q_{x}^d =\frac{(aq)_x^d}{1-0.5(aq)_x^{-d}}\]

where we have assumed uniform rates in the multiple decrement model and \[(aq)\] represents the dependent rate and \[(aq)_x^{-k}\] represents the total rate of decrement for all other decrements other than the decrement k.

Using the above relationship, how do we conclude the statement the memo has made?

The formula I got which relates the dependent and independent rates comes from the ActEd notes. I am not sure where Pieter's version comes from?