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The actual returns of the S&P since 1928 are in the attached file.
The Assignment
Your team works at a financial advisory firm and is asked to work with a client, Ms Christie, who has retired and has 400K in liquid assets.
To maintain a semblance of her prior lifestyle she needs to draw down 50K per year to complement social security and other pension payments.
a) Based on actual data (use the random function to select different starting years), determine the average number of years she can continue to draw down 50K before she runs out of money.
b) Second, since your client understands distribution (she took this course) and comes from a family of septagenarians, she wants to know how much she can draw down if she expects to live to 78. She is 65 now.
c) finally, any other advice you would like to offer
Year
S&P 500 (includes dividends)
3-month T.Bill
Return on 10-year T. Bond
1928
43.81%
3.08%
0.84%
1929
-8.30%
3.16%
4.20%
1930
-25.12%
4.55%
4.54%
1931
-43.84%
2.31%
-2.56%
1932
-8.64%
1.07%
8.79%
1933
49.98%
0.96%
1.86%
1934
-1.19%
0.32%
7.96%
1935
46.74%
0.18%
4.47%
1936
31.94%
0.17%
5.02%
1937
-35.34%
0.30%
1.38%
1938
29.28%
0.08%
4.21%
1939
-1.10%
0.04%
4.41%
1940
-10.67%
0.03%
5.40%
1941
-12.77%
-2.02%
1942
19.17%
0.34%
2.29%
1943
25.06%
0.38%
2.49%
1944
19.03%
2.58%
1945
35.82%
3.80%
1946
-8.43%
3.13%
1947
5.20%
0.57%
0.92%
1948
5.70%
1.02%
1.95%
1949
18.30%
1.10%
4.66%
1950
30.81%
1.17%
0.43%
1951
23.68%
1.48%
-0.30%
1952
18.15%
1.67%
2.27%
1953
-1.21%
1.89%
4.14%
1954
52.56%
3.29%
1955
32.60%
1.66%
-1.34%
1956
7.44%
2.56%
-2.26%
1957
-10.46%
3.23%
6.80%
1958
43.72%
1.78%
-2.10%
1959
12.06%
3.26%
-2.65%
1960
3.05%
11.64%
1961
26.64%
2.06%
1962
-8.81%
2.78%
5.69%
1963
22.61%
3.11%
1.68%
1964
16.42%
3.51%
3.73%
1965
12.40%
3.90%
0.72%
1966
-9.97%
4.84%
2.91%
1967
23.80%
4.33%
-1.58%
1968
10.81%
5.26%
3.27%
1969
-8.24%
6.56%
-5.01%
1970
3.56%
6.69%
16.75%
1971
14.22%
9.79%
1972
18.76%
3.95%
2.82%
1973
-14.31%
6.73%
3.66%
1974
-25.90%
7.78%
1.99%
1975
37.00%
5.99%
3.61%
1976
23.83%
4.97%
15.98%
1977
-6.98%
5.13%
1.29%
1978
6.51%
6.93%
-0.78%
1979
18.52%
9.94%
0.67%
1980
31.74%
11.22%
-2.99%
1981
-4.70%
14.30%
8.20%
1982
20.42%
11.01%
32.81%
1983
22.34%
8.45%
3.20%
1984
6.15%
9.61%
13.73%
1985
31.24%
7.49%
25.71%
1986
18.49%
6.04%
24.28%
1987
5.81%
5.72%
-4.96%
1988
16.54%
6.45%
8.22%
1989
31.48%
8.11%
17.69%
1990
-3.06%
7.55%
6.24%
1991
30.23%
5.61%
15.00%
1992
3.41%
9.36%
1993
9.97%
2.98%
14.21%
1994
1.33%
3.99%
-8.04%
1995
37.20%
5.52%
23.48%
1996
22.68%
1.43%
1997
33.10%
5.05%
1998
28.34%
4.73%
14.92%
1999
20.89%
4.51%
-8.25%
2000
-9.03%
5.76%
16.66%
2001
-11.85%
3.67%
5.57%
2002
-21.97%
15.12%
2003
28.36%
1.03%
2004
10.74%
1.23%
4.49%
2005
4.83%
3.01%
2.87%
2006
15.61%
4.68%
1.96%
2007
5.48%
4.64%
10.21%
2008
-36.55%
1.59%
20.10%
2009
25.94%
0.14%
-11.12%
2010
14.82%
0.13%
8.46%
2011
2.10%
16.04%
2012
15.89%
0.05%
2.97%
2013
32.15%
0.07%
-9.10%
2014
13.52%
10.75%
2015
0.21%
1.28%
2016
11.77%
0.51%
0.69%
2017
21.64%
1.39%
2.80%
2018
-4.23%
2.37%
-0.02%
2019
31.22%
1.55%
9.64%
2020
18.01%
0.09%
11.33%
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