  For $n$ assets and discrete-time rebalancing, the probability to complete a
given schedule of investments and withdrawals is maximized over progressively
measurable portfolio weight functions. Applications consider two assets, namely
the S&P Composite Index and an inflation-protected bond. The maximum
probability and optimal portfolio weight functions are computed for annually
rebalanced schedules involving an arbitrary initial investment and then equal
annual withdrawals over the remainder of the time period. Applications also
consider annually rebalanced schedules that start with dollar cost averaging
(equal annual investments) and then shift to equal annual withdrawals. Results
indicate noticeable improvements in the probability to complete a given
schedule when optimal portfolio weights are used instead of constant portfolio
weights like the standard of keeping 90% in the S&P Composite Index and 10% in
inflation-protected bonds.
