Case $2$In $4(1)/(2)$ years, Andrew will be $62.$ Andrew is thinking that, in $4(1)/(2)$ years, he might retire only part$-$time. As a result, he is not sure he would take the CPP in $4(1)/(2)$ years. Andrew's father and grandfathers died in their mid$-70$s$,$ but his mother and grandmothers lived to their late $80$s$.$Assume the maximum CPP he is eligible to receive at the beginning of the year at age $65$ is $$16,375$ pa$.$ Andrew thinks he might live to age $90.$