Investment rebalancing every year for a basic stock/bond allocation

crmau

New Member
Joined
Oct 29, 2015
Messages
19
Hi guys,

I've run into a mental roadblock trying to figure this out. I thought it was simple, but it was not as simple as I thought.

In the table below, I can easily calculate the return of the portfolio and break it down into equity and fixed income allocation. However, through time, this deviates from my target allocation of 20% equity and 80% fixed income, which is why I would like to "rebalance" every year.

I need a new column(s) that will basically "adjust" my equity and fixed income balances every year to keep my allocation at 20/80, which means that the returns will have to be calculated off the new adjusted numbers. You can see that throughout time, the percentages change and I actually end up with a portfolio of 41/59 which is VERY off target !!

What type of formula do I need?? Or do I need to use solver, VBA code, or something else to perform all the required calculations so that every year my portfolio is at 20/80?

Thanks for your help!

Investment ModelIncome
Equity20%
Fixed Income80%
Initial Investment $10,000.00
Index ReturnsPortfolio ReturnsBalncesNo RebalancingDifferences
YearS&P 500BBgBarc Us AggEquity ReturnFixed Income ReturnEquity BalanceFixed Income BalanceTotal BalanceEquity %Fixed Income %Equity DifferenceFixed Income Difference
1975 $ - $ - $ 2,000.00 $ 8,000.00 $ 10,000.00 20.00%80.00%0.00%0.00%
197621.45%14.50% $ 429.04 $ 1,159.73 $ 2,429.04 $ 9,159.73 $ 11,588.77 20.96%79.04%0.96%-0.96%
1977-7.43%2.99% $ (180.39) $ 273.98 $ 2,248.65 $ 9,433.71 $ 11,682.36 19.25%80.75%-0.75%0.75%
19786.36%1.38% $ 143.10 $ 130.57 $ 2,391.76 $ 9,564.27 $ 11,956.03 20.00%80.00%0.00%0.00%
197917.07%1.91% $ 408.19 $ 182.76 $ 2,799.94 $ 9,747.04 $ 12,546.98 22.32%77.68%2.32%-2.32%
198028.14%2.67% $ 788.02 $ 260.17 $ 3,587.97 $ 10,007.20 $ 13,595.17 26.39%73.61%6.39%-6.39%
1981-5.05%6.06% $ (181.13) $ 606.54 $ 3,406.83 $ 10,613.75 $ 14,020.58 24.30%75.70%4.30%-4.30%
198219.51%28.23% $ 664.76 $ 2,996.54 $ 4,071.59 $ 13,610.29 $ 17,681.88 23.03%76.97%3.03%-3.03%
198320.34%8.03% $ 828.13 $ 1,092.52 $ 4,899.72 $ 14,702.81 $ 19,602.53 25.00%75.00%5.00%-5.00%
19846.08%14.10% $ 298.13 $ 2,073.69 $ 5,197.86 $ 16,776.50 $ 21,974.36 23.65%76.35%3.65%-3.65%
198527.56%19.97% $ 1,432.32 $ 3,350.15 $ 6,630.18 $ 20,126.64 $ 26,756.82 24.78%75.22%4.78%-4.78%
198617.11%14.21% $ 1,134.65 $ 2,859.22 $ 7,764.83 $ 22,985.86 $ 30,750.69 25.25%74.75%5.25%-5.25%
19875.12%2.72% $ 397.36 $ 624.78 $ 8,162.19 $ 23,610.65 $ 31,772.84 25.69%74.31%5.69%-5.69%
198815.37%7.59% $ 1,254.13 $ 1,792.14 $ 9,416.32 $ 25,402.79 $ 34,819.11 27.04%72.96%7.04%-7.04%
198927.53%13.57% $ 2,591.86 $ 3,446.21 $ 12,008.18 $ 28,849.00 $ 40,857.18 29.39%70.61%9.39%-9.39%
1990-3.15%8.58% $ (378.67) $ 2,475.61 $ 11,629.51 $ 31,324.61 $ 42,954.12 27.07%72.93%7.07%-7.07%
199126.59%14.84% $ 3,092.76 $ 4,650.05 $ 14,722.27 $ 35,974.66 $ 50,696.93 29.04%70.96%9.04%-9.04%
19927.34%7.14% $ 1,081.07 $ 2,568.95 $ 15,803.34 $ 38,543.61 $ 54,346.95 29.08%70.92%9.08%-9.08%
19939.60%9.30% $ 1,517.52 $ 3,585.60 $ 17,320.86 $ 42,129.21 $ 59,450.07 29.14%70.86%9.14%-9.14%
19941.31%-2.96% $ 227.22 $ (1,246.82) $ 17,548.08 $ 40,882.39 $ 58,430.47 30.03%69.97%10.03%-10.03%
199531.90%16.95% $ 5,598.17 $ 6,930.43 $ 23,146.25 $ 47,812.82 $ 70,959.08 32.62%67.38%12.62%-12.62%
199620.67%3.57% $ 4,784.11 $ 1,705.11 $ 27,930.36 $ 49,517.94 $ 77,448.30 36.06%63.94%16.06%-16.06%
199728.79%9.22% $ 8,041.36 $ 4,563.54 $ 35,971.71 $ 54,081.48 $ 90,053.20 39.94%60.06%19.94%-19.94%
199825.14%8.33% $ 9,042.21 $ 4,504.85 $ 45,013.93 $ 58,586.34 $ 103,600.26 43.45%56.55%23.45%-23.45%
199919.10%-0.82% $ 8,596.02 $ (483.17) $ 53,609.95 $ 58,103.17 $ 111,713.12 47.99%52.01%27.99%-27.99%
2000-9.55%11.00% $ (5,117.52) $ 6,390.44 $ 48,492.42 $ 64,493.61 $ 112,986.04 42.92%57.08%22.92%-22.92%
2001-12.65%8.11% $ (6,136.08) $ 5,227.78 $ 42,356.35 $ 69,721.39 $ 112,077.74 37.79%62.21%17.79%-17.79%
2002-24.98%9.76%########## $ 6,806.62 $ 31,777.82 $ 76,528.01 $ 108,305.83 29.34%70.66%9.34%-9.34%
200325.22%4.02% $ 8,014.16 $ 3,078.30 $ 39,791.98 $ 79,606.31 $ 119,398.29 33.33%66.67%13.33%-13.33%
200410.33%4.25% $ 4,110.39 $ 3,381.12 $ 43,902.37 $ 82,987.43 $ 126,889.80 34.60%65.40%14.60%-14.60%
20054.80%2.40% $ 2,105.18 $ 1,991.29 $ 46,007.55 $ 84,978.72 $ 130,986.27 35.12%64.88%15.12%-15.12%
200614.66%4.24% $ 6,746.77 $ 3,605.21 $ 52,754.32 $ 88,583.93 $ 141,338.25 37.32%62.68%17.32%-17.32%
20075.35%6.73% $ 2,821.49 $ 5,965.83 $ 55,575.82 $ 94,549.76 $ 150,125.58 37.02%62.98%17.02%-17.02%
2008-46.20%5.11%########## $ 4,829.18 $ 29,899.73 $ 99,378.94 $ 129,278.67 23.13%76.87%3.13%-3.13%
200923.48%5.76% $ 7,020.20 $ 5,725.43 $ 36,919.93 $ 105,104.37 $ 142,024.30 26.00%74.00%6.00%-6.00%
201014.03%6.34% $ 5,180.34 $ 6,660.08 $ 42,100.27 $ 111,764.46 $ 153,864.72 27.36%72.64%7.36%-7.36%
20112.09%7.55% $ 879.81 $ 8,437.69 $ 42,980.08 $ 120,202.15 $ 163,182.22 26.34%73.66%6.34%-6.34%
201214.85%4.13% $ 6,380.40 $ 4,962.46 $ 49,360.47 $ 125,164.60 $ 174,525.08 28.28%71.72%8.28%-8.28%
201328.06%-2.04% $ 13,848.96 $ (2,558.93) $ 63,209.43 $ 122,605.67 $ 185,815.10 34.02%65.98%14.02%-14.02%
201412.83%5.79% $ 8,109.29 $ 7,104.41 $ 71,318.72 $ 129,710.08 $ 201,028.80 35.48%64.52%15.48%-15.48%
20151.37%0.55% $ 980.17 $ 711.39 $ 72,298.88 $ 130,421.47 $ 202,720.36 35.66%64.34%15.66%-15.66%
201611.30%2.61% $ 8,167.66 $ 3,407.96 $ 80,466.54 $ 133,829.44 $ 214,295.98 37.55%62.45%17.55%-17.55%
201719.75%3.48% $ 15,889.67 $ 4,658.01 $ 96,356.22 $ 138,487.44 $ 234,843.66 41.03%58.97%21.03%-21.03%

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