Backtest Portfolio Asset Allocation

Portfolio Backtesting Overview

This portfolio backtesting tool allows you to construct one or more portfolios based on the selected mutual funds, ETFs, and stocks. You can analyze and backtest portfolio returns, risk characteristics, style exposures, and drawdowns. The results cover both returns and fund fundamentals based portfolio style analysis along with risk and return decomposition by each portfolio asset. You can compare up to three different portfolios against the selected benchmark, and you can also specify any periodic contribution or withdrawal cashflows and the preferred portfolio rebalancing strategy.

The related asset class level portfolio modeling tool allows you to analyze and compare asset class level portfolios with a longer time horizon starting from 1972.

Portfolio Model Configuration

Time Period

Start Year

First Month

End Year

Last Month

Calendar Aligned

Include YTD

Start Date

End Date

Initial Amount

$ .00

Cashflows

Contribution Amount

$ .00

Inflation Adjusted

Withdrawal Percentage

Frequency

Rebalancing

Absolute Deviation

Relative Deviation

Leverage Type

Leverage Ratio

Debt Amount

$ .00

Debt Interest

Maintenance Margin

Leveraged Benchmark

Reinvest Dividends

Display Income

Factor Regression

Equity Factor Model

Benchmark

Benchmark Ticker

Portfolio Names

Portfolio Name #1

Portfolio Name #2

Portfolio Name #3

Portfolio Assets

Portfolio #1

Portfolio #2

Portfolio #3

Asset 1

Asset 2

Asset 3

Asset 4

Asset 5

Asset 6

Asset 7

Asset 8

Asset 9

Asset 10

Total

Portfolio Analysis Results (Jan 2004 - Dec 2022)

Berkshire Hathaway Inc.

Ticker	Name	Allocation
BRK.A	Berkshire Hathaway Inc.	100.00%
Save portfolio »

Performance Summary

Portfolio performance statistics
Portfolio	Initial Balance	Final Balance	CAGR	Stdev	Best Year	Worst Year	Max. Drawdown	Sharpe Ratio	Sortino Ratio	Market Correlation
Berkshire Hathaway Inc.	$10,000	$55,633	9.45%	17.18%	32.70%	-31.78%	-44.49%	0.54	0.90	0.60
Vanguard 500 Index Investor	$10,000	$49,230	8.75%	14.90%	32.18%	-37.02%	-50.97%	0.56	0.81	1.00

Portfolio Growth

Annual Returns

Trailing Returns

Trailing Returns
Name	Total Return			Annualized Return				Annualized Standard Deviation
Name	3 Month	Year To Date	1 year	3 year	5 year	10 year	Full	3 year	5 year
Berkshire Hathaway Inc.	15.31%	4.00%	4.00%	11.34%	9.51%	13.33%	9.45%	23.98%	21.13%
Vanguard 500 Index Investor	7.52%	-18.23%	-18.23%	7.51%	9.28%	12.41%	8.75%	21.17%	18.69%
Trailing return and volatility are as of last full calendar month ending December 2022

Notes and Disclosures

IMPORTANT: The projections or other information generated by Portfolio Visualizer regarding the likelihood of various investment outcomes are hypothetical in nature, do not reflect actual investment results and are not guarantees of future results. Results may vary with each use and over time.
The results do not constitute investment advice or recommendation, are provided solely for informational purposes, and are not an offer to buy or sell any securities. All use is subject to terms of service.
Investing involves risk, including possible loss of principal. Past performance is not a guarantee of future results.
Asset allocation and diversification strategies do not guarantee a profit or protect against a loss.
Hypothetical returns do not reflect trading costs, transaction fees, commissions, or actual taxes due on investment returns.
The results are based on information from a variety of sources we consider reliable, but we do not represent that the information is accurate or complete.
Refer to the related documentation sections for more details on terms and definitions, methodology, and data sources.
Portfolio model information represents a blended portfolio consisting of the model's underlying positions and assigned weights provided by the user and rebalanced at the specified schedule. The results were constructed using net of fee mutual fund performance. Portfolio Visualizer does not provide preferential treatment to any specific security or investment.
The results are based on the total return of assets and assume that all received dividends and distributions are reinvested.
Market capitalization refers to the total value of all a company's shares of stock. It is calculated by multiplying the price of a stock by its total number of outstanding shares. Large cap refers to a company with a market capitalization value of more than $10 billion, mid cap refers to a company with a market capitalization value between $2 and $10 billion, and small cap refers to a company with a market capitalization value below $2 billion. For funds and portfolios the equity market capitalization is calculated based on the long position of the equity holdings.
Credit quality measures the ability of a bond issuer to repay a bond's interest and principal in a timely manner. Ratings agencies research the financial health of each bond issuer and assign ratings to the bonds being offered. Lower-rated bonds generally offer higher yields to compensate investors for the additional risk. AAA is the highest possible rating that may be assigned to an issuer's bonds by any of the major credit rating agencies. Bonds rated AAA to AA are known as high-grade bonds, bonds rated A to BBB are known as medium-grade bonds, and bonds rated BB to C are known as non-investment grade bonds. An issuer will receive a rating of D if it is already in default on some of its debt. For funds and portfolios the fixed income credit quality break-down is calculated based on the long position of the fixed income holdings.
A fixed income maturity date refers to the specific date on which the investor's principal will be repaid. Duration measures a bond's or fixed income portfolio's price sensitivity to interest rate changes. If a bond has a duration of 5 years, and interest rates increase by 1%, the bond's price will decline by approximately 5%. Conversely, if a bond has a duration of 5 years and interest rates fall by 1%, the bond's price will increase by approximately 5%. A fixed income portfolio's duration is computed as the weighted average of individual bond durations held in the portfolio.
Compound annualized growth rate (CAGR) is the annualized geometric mean return of the portfolio. It is calculated from the portfolio start and end balance and is thus impacted by any cashflows.
The time-weighted rate of return (TWRR) is a measure of the compound rate of growth in a portfolio. This is calculated from the holding period returns (e.g. monthly returns), and TWRR will thus not be impacted by cashflows. If there are no external cashflows, TWRR will equal CAGR.
The money-weighted rate of return (MWRR) is the internal rate of return (IRR) taking into account cashflows. This is the discount rate at which the present value of cash inflows equals the present value of cash outflows.
Total return is the combined return in income and capital appreciation from investment in an asset. Yield measures the current cash income received from investment in an asset. Bonds provide yield in the form of interest payments and stocks through dividends.
Standard deviation (Stdev) is used to measure the dispersion of returns around the mean and is often used as a measure of risk. A higher standard deviation implies greater the dispersion of data points around the mean.
Sharpe Ratio is a measure of risk-adjusted performance of the portfolio, and it is calculated by dividing the mean monthly excess return of the portfolio over the risk-free rate by the standard deviation of excess return, and the displayed value is annualized.
Sortino Ratio is a measure of risk-adjusted return which is a modification of the Sharpe Ratio. While the latter is the ratio of average returns in excess of a risk-free rate divided by the standard deviation of those excess returns, the Sortino Ratio has the same denominator divided by the standard deviation of returns below the risk-free rate.
Treynor Ratio is a measure of risk-adjusted performance of the portfolio. It is similar to the Sharpe Ratio, but it uses portfolio beta (systematic risk) as the risk metric in the denominator.
Calmar Ratio is a measure of risk-adjusted performance of the portfolio. It is calculated as the annualized return over the past 36 months divided by the maximum drawdown over the past 36 months based on monthly returns.
Risk-free returns are calculated based on the Federal Reserve 3-Month Treasury Bill (secondary market) rates.
Downside deviation measures the downside volatility of the portfolio returns unlike standard deviation, which includes both upside and downside deviations. Downside deviation is calculated based on negative returns that hurt the portfolio performance.
Correlation measures to what degree the returns of the two assets move in relation to each other. Correlation coefficient is a numerical value between -1 and +1. If one variable goes up by a certain amount, the correlation coefficient indicates which way the other variable moves and by how much. Asset correlations are calculated based on monthly returns.
Skewness is a measure of the asymmetry of the probability distribution or returns from a normal Gaussian distribution shape about its mean. Negative skewness is associated with the left (typically negative returns) tail of the distribution extending further than the right tail; and positive skewness is associated with the right (typically positive returns) tail of the distribution extending further than the left tail.
Excess kurtosis is a measure of whether a data distribution is peaked or flat relative to a normal distribution. Distributions with high kurtosis tend to have a distinct peak near the mean, decline rather rapidly, and have heavy or fat tails.
A drawdown refers to the decline in value of a single investment or an investment portfolio from a relative peak value to a relative trough. A maximum drawdown (Max Drawdown) is the maximum observed loss from a peak to a trough of a portfolio before a new peak is attained. Drawdown values are calculated based on monthly returns.
Value at Risk (VaR) measures the scale of loss at a given confidence level. For example, if the 95% confidence one-month VaR is 3%, there is 95% confidence that over the next month the portfolio will not lose more than 3%. Value at Risk can be calculated directly based on historical returns based on a given percentile or analytically based on the mean and standard deviation of the returns.
Conditional Value at Risk (CVaR) measures the scale of the expected loss once the specific Value at Risk (VaR) breakpoint has been breached, i.e., it calculates the average tail loss by taking a weighted average between the value at risk and losses exceeding the value at risk.
Beta is a measure of systematic risk and measures the volatility of a particular investment relative to the market or its benchmark. Alpha measures the active return of the investment compared to the market benchmark return. R-squared is the percentage of a portfolio's movements that can be explained by movements in the selected benchmark index.
Active return is the investment return minus the return of its benchmark. For periods longer than 12 months this is displayed as annualized value, i.e., annualized investment return minus annualized benchmark return.
Tracking error, also known as active risk, is the standard deviation of active return. This is displayed as annualized value based on the standard deviation of monthly active returns.
Information ratio is the active return divided by the tracking error. It measures whether the investment outperformed its benchmark consistently.
Gain/Loss ratio is a measure of downside risk, and it is calculated as the average positive return in up periods divided by the average negative return in down periods.
Upside Capture Ratio measures how well the fund performed relative to the benchmark when the market was up, and Downside Capture Ratio measures how well the fund performed relative to the benchmark when the market was down. An upside capture ratio greater than 100 would indicate that the fund outperformed its benchmark when the market was up, and a downside capture ratio below 100 would indicate that the fund lost less than its benchmark when the market was down. To calculate upside capture ratio a new series from the portfolio returns is constructed by dropping all time periods where the benchmark return is less than equal to zero. The up capture is then the quotient of the annualized return of the resulting manager series, divided by the annualized return of the resulting benchmark series. The downside capture ratio is calculated analogously.
All risk measures for the portfolio and portfolio assets are calculated based on monthly returns.
Gross expense ratio reflects the total annual operating expenses paid by each fund. Net expense ratio reflects what investors were charged after waivers, reductions, and reimbursements.
Price to earnings (P/E) ratio of a stock is calculated by dividing the current price of the stock by its trailing 12 months' earnings per share. For funds the price to earnings ratio is computed as the weighted average of fund holdings.
The results assume annual rebalancing of portfolio assets to match the specified allocation.

Annual Returns

Annual returns for the configured portfolios
Year	Inflation	Berkshire Hathaway Inc.		Vanguard 500 Index Investor		Berkshire Hathaway Inc. (BRK.A)
Year	Inflation	Return	Balance	Return	Balance	Berkshire Hathaway Inc. (BRK.A)
2004	3.26%	4.33%	$10,433	10.74%	$11,074	4.33%
2005	3.42%	0.82%	$10,519	4.77%	$11,603	0.82%
2006	2.54%	24.11%	$13,055	15.64%	$13,418	24.11%
2007	4.08%	28.74%	$16,807	5.39%	$14,140	28.74%
2008	0.09%	-31.78%	$11,466	-37.02%	$8,906	-31.78%
2009	2.72%	2.69%	$11,774	26.49%	$11,264	2.69%
2010	1.50%	21.42%	$14,297	14.91%	$12,944	21.42%
2011	2.96%	-4.73%	$13,621	1.97%	$13,199	-4.73%
2012	1.74%	16.82%	$15,912	15.82%	$15,287	16.82%
2013	1.50%	32.70%	$21,116	32.18%	$20,206	32.70%
2014	0.76%	27.04%	$26,825	13.51%	$22,935	27.04%
2015	0.73%	-12.48%	$23,478	1.25%	$23,222	-12.48%
2016	2.07%	23.42%	$28,976	11.82%	$25,966	23.42%
2017	2.11%	21.91%	$35,323	21.67%	$31,592	21.91%
2018	1.91%	2.82%	$36,320	-4.52%	$30,163	2.82%
2019	2.29%	10.98%	$40,307	31.33%	$39,612	10.98%
2020	1.36%	2.42%	$41,284	18.25%	$46,840	2.42%
2021	7.04%	29.57%	$53,491	28.53%	$60,205	29.57%
2022	6.45%	4.00%	$55,633	-18.23%	$49,230	4.00%

Monthly Returns

Monthly returns for the configured portfolios
Year	Month	Berkshire Hathaway Inc.		Vanguard 500 Index Investor		Berkshire Hathaway Inc. (BRK.A)
Year	Month	Return	Balance	Return	Balance	Berkshire Hathaway Inc. (BRK.A)
2004	1	6.22%	$10,622	1.82%	$10,182	6.22%
2004	2	5.60%	$11,217	1.38%	$10,322	5.60%
2004	3	-1.27%	$11,074	-1.51%	$10,166	-1.27%
2004	4	0.10%	$11,085	-1.58%	$10,006	0.10%
2004	5	-4.70%	$10,564	1.36%	$10,142	-4.70%
2004	6	-0.06%	$10,558	1.93%	$10,337	-0.06%
2004	7	-1.91%	$10,356	-3.31%	$9,995	-1.91%
2004	8	-0.29%	$10,326	0.38%	$10,033	-0.29%
2004	9	-0.40%	$10,285	1.07%	$10,140	-0.40%
2004	10	-2.77%	$10,000	1.51%	$10,294	-2.77%
2004	11	-0.65%	$9,935	4.05%	$10,711	-0.65%
2004	12	5.02%	$10,433	3.39%	$11,074	5.02%
2005	1	2.28%	$10,671	-2.45%	$10,802	2.28%
2005	2	0.33%	$10,706	2.09%	$11,028	0.33%
2005	3	-3.55%	$10,326	-1.76%	$10,834	-3.55%
2005	4	-3.05%	$10,012	-1.91%	$10,627	-3.05%
2005	5	-0.30%	$9,982	3.17%	$10,964	-0.30%
2005	6	-0.71%	$9,911	0.13%	$10,978	-0.71%
2005	7	0.00%	$9,911	3.71%	$11,385	0.00%
2005	8	-0.42%	$9,869	-0.91%	$11,281	-0.42%
2005	9	-1.38%	$9,733	0.79%	$11,370	-1.38%
2005	10	4.76%	$10,196	-1.68%	$11,179	4.76%
2005	11	4.06%	$10,610	3.76%	$11,600	4.06%
2005	12	-0.86%	$10,519	0.02%	$11,603	-0.86%
2006	1	0.98%	$10,622	2.65%	$11,910	0.98%
2006	2	-3.01%	$10,303	0.26%	$11,941	-3.01%
2006	3	4.09%	$10,724	1.23%	$12,088	4.09%
2006	4	-1.49%	$10,564	1.33%	$12,249	-1.49%
2006	5	3.70%	$10,954	-2.90%	$11,894	3.70%
2006	6	-0.68%	$10,879	0.13%	$11,910	-0.68%
2006	7	-0.06%	$10,872	0.61%	$11,982	-0.06%
2006	8	4.91%	$11,406	2.36%	$12,265	4.91%
2006	9	-0.31%	$11,371	2.56%	$12,579	-0.31%
2006	10	10.10%	$12,519	3.25%	$12,988	10.10%
2006	11	1.54%	$12,712	1.89%	$13,233	1.54%
2006	12	2.70%	$13,055	1.39%	$13,418	2.70%
2007	1	0.05%	$13,062	1.49%	$13,618	0.05%
2007	2	-3.51%	$12,604	-1.97%	$13,350	-3.51%
2007	3	2.64%	$12,936	1.11%	$13,498	2.64%
2007	4	0.19%	$12,961	4.42%	$14,095	0.19%
2007	5	0.27%	$12,996	3.48%	$14,585	0.27%
2007	6	-0.01%	$12,994	-1.68%	$14,340	-0.01%
2007	7	0.48%	$13,056	-3.08%	$13,898	0.48%
2007	8	7.63%	$14,052	1.50%	$14,106	7.63%
2007	9	0.10%	$14,066	3.72%	$14,631	0.10%
2007	10	11.80%	$15,727	1.58%	$14,862	11.80%
2007	11	5.74%	$16,629	-4.19%	$14,240	5.74%
2007	12	1.07%	$16,807	-0.70%	$14,140	1.07%
2008	1	-3.95%	$16,142	-6.02%	$13,290	-3.95%
2008	2	2.94%	$16,617	-3.25%	$12,858	2.94%
2008	3	-4.71%	$15,834	-0.44%	$12,801	-4.71%
2008	4	0.34%	$15,887	4.85%	$13,422	0.34%
2008	5	0.60%	$15,982	1.29%	$13,596	0.60%
2008	6	-10.32%	$14,332	-8.44%	$12,449	-10.32%
2008	7	-5.22%	$13,585	-0.83%	$12,345	-5.22%
2008	8	1.88%	$13,840	1.45%	$12,524	1.88%
2008	9	12.01%	$15,501	-8.91%	$11,408	12.01%
2008	10	-11.57%	$13,708	-16.79%	$9,493	-11.57%
2008	11	-9.95%	$12,344	-7.17%	$8,811	-9.95%
2008	12	-7.12%	$11,466	1.07%	$8,906	-7.12%
2009	1	-7.35%	$10,623	-8.41%	$8,156	-7.35%
2009	2	-12.18%	$9,329	-10.66%	$7,287	-12.18%
2009	3	10.31%	$10,291	8.76%	$7,925	10.31%
2009	4	8.42%	$11,157	9.56%	$8,683	8.42%
2009	5	-2.55%	$10,872	5.62%	$9,171	-2.55%
2009	6	-1.75%	$10,682	0.22%	$9,191	-1.75%
2009	7	7.78%	$11,513	7.58%	$9,887	7.78%
2009	8	3.97%	$11,970	3.60%	$10,243	3.97%
2009	9	0.15%	$11,988	3.72%	$10,624	0.15%
2009	10	-1.98%	$11,751	-1.87%	$10,426	-1.98%
2009	11	1.62%	$11,941	5.98%	$11,049	1.62%
2009	12	-1.39%	$11,774	1.95%	$11,264	-1.39%
2010	1	15.52%	$13,602	-3.60%	$10,858	15.52%
2010	2	4.54%	$14,220	3.09%	$11,194	4.54%
2010	3	1.67%	$14,457	6.01%	$11,867	1.67%
2010	4	-5.32%	$13,688	1.58%	$12,054	-5.32%
2010	5	-8.16%	$12,571	-8.01%	$11,089	-8.16%
2010	6	13.30%	$14,243	-5.24%	$10,508	13.30%
2010	7	-2.50%	$13,887	7.00%	$11,244	-2.50%
2010	8	1.43%	$14,086	-4.53%	$10,734	1.43%
2010	9	4.91%	$14,777	8.92%	$11,692	4.91%
2010	10	-4.18%	$14,160	3.79%	$12,135	-4.18%
2010	11	0.75%	$14,267	0.00%	$12,135	0.75%
2010	12	0.21%	$14,297	6.67%	$12,944	0.21%
2011	1	1.64%	$14,531	2.36%	$13,249	1.64%
2011	2	7.25%	$15,585	3.42%	$13,702	7.25%
2011	3	-4.57%	$14,872	0.03%	$13,705	-4.57%
2011	4	-0.44%	$14,807	2.95%	$14,109	-0.44%
2011	5	-4.79%	$14,098	-1.15%	$13,948	-4.79%
2011	6	-2.25%	$13,781	-1.67%	$13,715	-2.25%
2011	7	-3.97%	$13,234	-2.05%	$13,434	-3.97%
2011	8	-1.55%	$13,029	-5.45%	$12,702	-1.55%
2011	9	-2.70%	$12,677	-7.04%	$11,808	-2.70%
2011	10	9.50%	$13,881	10.91%	$13,096	9.50%
2011	11	1.33%	$14,065	-0.23%	$13,066	1.33%
2011	12	-3.16%	$13,621	1.02%	$13,199	-3.16%
2012	1	2.76%	$13,997	4.46%	$13,788	2.76%
2012	2	0.01%	$13,998	4.31%	$14,382	0.01%
2012	3	3.36%	$14,469	3.28%	$14,854	3.36%
2012	4	-0.90%	$14,338	-0.64%	$14,759	-0.90%
2012	5	-1.61%	$14,107	-6.02%	$13,870	-1.61%
2012	6	5.13%	$14,830	4.11%	$14,440	5.13%
2012	7	2.00%	$15,127	1.37%	$14,638	2.00%
2012	8	-0.69%	$15,022	2.24%	$14,966	-0.69%
2012	9	4.85%	$15,751	2.58%	$15,352	4.85%
2012	10	-2.41%	$15,372	-1.86%	$15,066	-2.41%
2012	11	1.86%	$15,658	0.56%	$15,151	1.86%
2012	12	1.63%	$15,912	0.90%	$15,287	1.63%
2013	1	8.81%	$17,315	5.18%	$16,079	8.81%
2013	2	4.61%	$18,113	1.34%	$16,294	4.61%
2013	3	2.41%	$18,550	3.74%	$16,903	2.41%
2013	4	1.74%	$18,872	1.91%	$17,226	1.74%
2013	5	7.74%	$20,332	2.33%	$17,626	7.74%
2013	6	-1.58%	$20,012	-1.35%	$17,388	-1.58%
2013	7	3.14%	$20,641	5.07%	$18,270	3.14%
2013	8	-3.94%	$19,828	-2.91%	$17,738	-3.94%
2013	9	2.01%	$20,227	3.12%	$18,292	2.01%
2013	10	1.52%	$20,533	4.59%	$19,131	1.52%
2013	11	1.02%	$20,742	3.03%	$19,710	1.02%
2013	12	1.80%	$21,116	2.51%	$20,206	1.80%
2014	1	-4.72%	$20,120	-3.47%	$19,505	-4.72%
2014	2	2.48%	$20,618	4.56%	$20,395	2.48%
2014	3	7.85%	$22,237	0.82%	$20,563	7.85%
2014	4	3.16%	$22,941	0.72%	$20,711	3.16%
2014	5	-0.66%	$22,789	2.33%	$21,195	-0.66%
2014	6	-1.09%	$22,540	2.05%	$21,630	-1.09%
2014	7	-0.94%	$22,329	-1.39%	$21,330	-0.94%
2014	8	9.44%	$24,437	3.98%	$22,179	9.44%
2014	9	0.50%	$24,558	-1.41%	$21,866	0.50%
2014	10	1.50%	$24,926	2.42%	$22,396	1.50%
2014	11	6.22%	$26,477	2.68%	$22,996	6.22%
2014	12	1.32%	$26,825	-0.26%	$22,935	1.32%
2015	1	-4.48%	$25,622	-3.02%	$22,243	-4.48%
2015	2	2.46%	$26,253	5.74%	$23,520	2.46%
2015	3	-1.66%	$25,816	-1.59%	$23,145	-1.66%
2015	4	-1.89%	$25,329	0.95%	$23,365	-1.89%
2015	5	0.66%	$25,496	1.27%	$23,662	0.66%
2015	6	-4.63%	$24,315	-1.93%	$23,205	-4.63%
2015	7	4.47%	$25,401	2.08%	$23,688	4.47%
2015	8	-5.36%	$24,039	-6.05%	$22,255	-5.36%
2015	9	-3.60%	$23,174	-2.48%	$21,702	-3.60%
2015	10	4.79%	$24,284	8.42%	$23,530	4.79%
2015	11	-1.58%	$23,900	0.29%	$23,598	-1.58%
2015	12	-1.77%	$23,478	-1.59%	$23,222	-1.77%
2016	1	-1.74%	$23,069	-4.98%	$22,066	-1.74%
2016	2	4.22%	$24,042	-0.15%	$22,034	4.22%
2016	3	5.38%	$25,335	6.78%	$23,527	5.38%
2016	4	2.60%	$25,994	0.37%	$23,615	2.60%
2016	5	-3.34%	$25,127	1.78%	$24,036	-3.34%
2016	6	2.49%	$25,754	0.25%	$24,096	2.49%
2016	7	-0.45%	$25,638	3.68%	$24,982	-0.45%
2016	8	4.52%	$26,796	0.13%	$25,014	4.52%
2016	9	-4.23%	$25,664	0.01%	$25,016	-4.23%
2016	10	-0.24%	$25,602	-1.83%	$24,558	-0.24%
2016	11	9.87%	$28,131	3.70%	$25,466	9.87%
2016	12	3.00%	$28,976	1.96%	$25,966	3.00%
2017	1	0.76%	$29,196	1.88%	$26,455	0.76%
2017	2	4.52%	$30,516	3.96%	$27,503	4.52%
2017	3	-2.82%	$29,656	0.10%	$27,531	-2.82%
2017	4	-0.83%	$29,410	1.02%	$27,811	-0.83%
2017	5	0.27%	$29,488	1.39%	$28,199	0.27%
2017	6	2.52%	$30,231	0.61%	$28,371	2.52%
2017	7	3.17%	$31,191	2.04%	$28,951	3.17%
2017	8	3.30%	$32,220	0.29%	$29,036	3.30%
2017	9	1.21%	$32,610	2.06%	$29,633	1.21%
2017	10	2.09%	$33,290	2.32%	$30,320	2.09%
2017	11	3.93%	$34,599	3.06%	$31,248	3.93%
2017	12	2.09%	$35,323	1.10%	$31,592	2.09%
2018	1	8.66%	$38,383	5.71%	$33,397	8.66%
2018	2	-4.06%	$36,825	-3.69%	$32,163	-4.06%
2018	3	-3.59%	$35,501	-2.56%	$31,341	-3.59%
2018	4	-2.83%	$34,499	0.37%	$31,458	-2.83%
2018	5	-1.19%	$34,089	2.39%	$32,211	-1.19%
2018	6	-1.80%	$33,477	0.61%	$32,406	-1.80%
2018	7	6.92%	$35,792	3.71%	$33,608	6.92%
2018	8	4.73%	$37,484	3.25%	$34,699	4.73%
2018	9	1.33%	$37,982	0.55%	$34,892	1.33%
2018	10	-3.84%	$36,523	-6.85%	$32,502	-3.84%
2018	11	5.95%	$38,694	2.03%	$33,161	5.95%
2018	12	-6.13%	$36,320	-9.04%	$30,163	-6.13%
2019	1	1.80%	$36,973	8.00%	$32,576	1.80%
2019	2	-2.99%	$35,869	3.20%	$33,619	-2.99%
2019	3	-0.33%	$35,753	1.94%	$34,270	-0.33%
2019	4	7.92%	$38,585	4.04%	$35,655	7.92%
2019	5	-8.62%	$35,259	-6.36%	$33,386	-8.62%
2019	6	7.17%	$37,786	7.03%	$35,734	7.17%
2019	7	-3.04%	$36,637	1.43%	$36,243	-3.04%
2019	8	-1.81%	$35,974	-1.59%	$35,667	-1.81%
2019	9	2.89%	$37,013	1.86%	$36,330	2.89%
2019	10	2.28%	$37,856	2.15%	$37,113	2.28%
2019	11	3.62%	$39,228	3.62%	$38,456	3.62%
2019	12	2.75%	$40,307	3.01%	$39,612	2.75%
2020	1	-1.06%	$39,881	-0.05%	$39,592	-1.06%
2020	2	-8.01%	$36,688	-8.24%	$36,329	-8.01%
2020	3	-12.00%	$32,285	-12.37%	$31,834	-12.00%
2020	4	3.57%	$33,436	12.81%	$35,914	3.57%
2020	5	-1.09%	$33,073	4.76%	$37,622	-1.09%
2020	6	-4.07%	$31,727	1.98%	$38,366	-4.07%
2020	7	9.85%	$34,852	5.63%	$40,525	9.85%
2020	8	11.55%	$38,880	7.18%	$43,433	11.55%
2020	9	-2.31%	$37,982	-3.81%	$41,778	-2.31%
2020	10	-5.47%	$35,905	-2.67%	$40,662	-5.47%
2020	11	13.62%	$40,794	10.94%	$45,109	13.62%
2020	12	1.20%	$41,284	3.84%	$46,840	1.20%
2021	1	-1.07%	$40,843	-1.02%	$46,362	-1.07%
2021	2	5.95%	$43,274	2.76%	$47,640	5.95%
2021	3	5.79%	$45,781	4.37%	$49,721	5.79%
2021	4	6.95%	$48,961	5.32%	$52,367	6.95%
2021	5	5.70%	$51,751	0.69%	$52,728	5.70%
2021	6	-3.99%	$49,686	2.31%	$53,943	-3.99%
2021	7	0.07%	$49,721	2.38%	$55,226	0.07%
2021	8	2.63%	$51,027	3.03%	$56,899	2.63%
2021	9	-4.31%	$48,828	-4.66%	$54,245	-4.31%
2021	10	5.23%	$51,383	6.99%	$58,039	5.23%
2021	11	-3.70%	$49,481	-0.71%	$57,630	-3.70%
2021	12	8.10%	$53,491	4.47%	$60,205	8.10%
2022	1	4.25%	$55,763	-5.19%	$57,083	4.25%
2022	2	1.36%	$56,523	-3.00%	$55,371	1.36%
2022	3	11.07%	$62,780	3.69%	$57,416	11.07%
2022	4	-8.43%	$57,488	-8.73%	$52,403	-8.43%
2022	5	-2.12%	$56,267	0.17%	$52,492	-2.12%
2022	6	-13.73%	$48,540	-8.27%	$48,154	-13.73%
2022	7	10.45%	$53,614	9.21%	$52,588	10.45%
2022	8	-6.73%	$50,007	-4.09%	$50,437	-6.73%
2022	9	-3.52%	$48,246	-9.22%	$45,787	-3.52%
2022	10	9.49%	$52,825	8.08%	$49,487	9.49%
2022	11	7.92%	$57,007	5.58%	$52,246	7.92%
2022	12	-2.41%	$55,633	-5.77%	$49,230	-2.41%

Holdings Based Style Analysis for Berkshire Hathaway Inc.

Holdings Based Style Analysis for Berkshire Hathaway Inc.
Ticker	Name	Category	Weight	Contribution
Ticker	Name	Category	Weight	Return	Risk
BRK.A	Berkshire Hathaway Inc.	Financial Services / Insurance - Diversified	100.00%	$45,633	100.00%

Asset Allocation

Equity Market Capitalization

Equity Sectors

Risk and Return Metrics

Portfolio return and risk metrics
Metric	Berkshire Hathaway Inc.	Vanguard 500 Index Investor
Arithmetic Mean (monthly)	0.88%	0.79%
Arithmetic Mean (annualized)	11.05%	9.97%
Geometric Mean (monthly)	0.76%	0.70%
Geometric Mean (annualized)	9.45%	8.75%
Standard Deviation (monthly)	4.96%	4.30%
Standard Deviation (annualized)	17.18%	14.90%
Downside Deviation (monthly)	2.95%	2.91%
Maximum Drawdown	-44.49%	-50.97%
Stock Market Correlation	0.60	1.00
Beta^(*)	0.70	1.00
Alpha (annualized)	3.83%	-0.00%
R²	36.99%	100.00%
Sharpe Ratio	0.54	0.56
Sortino Ratio	0.90	0.81
Treynor Ratio (%)	13.27	8.32
Calmar Ratio	0.49	0.31
Active Return	0.70%	N/A
Tracking Error	14.34%	N/A
Information Ratio	0.05	N/A
Skewness	0.11	-0.61
Excess Kurtosis	0.47	1.43
Historical Value-at-Risk (5%)	6.98%	7.71%
Analytical Value-at-Risk (5%)	7.28%	6.28%
Conditional Value-at-Risk (5%)	9.79%	9.76%
Upside Capture Ratio (%)	73.83	100.00
Downside Capture Ratio (%)	61.59	100.00
Safe Withdrawal Rate	8.26%	7.81%
Perpetual Withdrawal Rate	6.31%	5.71%
Positive Periods	126 out of 228 (55.26%)	153 out of 228 (67.11%)
Gain/Loss Ratio	1.28	0.78
^* Vanguard 500 Index Investor is used as the benchmark for calculations. Value-at-risk metrics are monthly values.

Drawdowns

Historical Market Stress Periods

Drawdowns for Historical Market Stress Periods
Stress Period	Start	End	Berkshire Hathaway Inc.	Vanguard 500 Index Investor
Subprime Crisis	Nov 2007	Mar 2009	-44.49%	-50.97%
COVID-19 Start	Jan 2020	Mar 2020	-19.90%	-19.63%

Drawdowns for Berkshire Hathaway Inc.

Drawdowns for Berkshire Hathaway Inc. (worst 10)
Rank	Start	End	Length	Recovery By	Recovery Time	Underwater Period	Drawdown
1	Jan 2008	Feb 2009	1 year 2 months	Jan 2013	3 years 11 months	5 years 1 month	-44.49%
2	Apr 2022	Sep 2022	6 months				-23.15%
3	Jan 2020	Jun 2020	6 months	Nov 2020	5 months	11 months	-21.29%
4	Jan 2015	Jan 2016	1 year 1 month	Nov 2016	10 months	1 year 11 months	-14.00%
5	Mar 2004	Sep 2005	1 year 7 months	Aug 2006	11 months	2 years 6 months	-13.23%
6	Feb 2018	Jun 2018	5 months	Nov 2018	5 months	10 months	-12.78%
7	Dec 2018	May 2019	6 months	Nov 2019	6 months	1 year	-8.88%
8	Jun 2021	Sep 2021	4 months	Dec 2021	3 months	7 months	-5.65%
9	Jan 2014	Jan 2014	1 month	Mar 2014	2 months	3 months	-4.72%
10	Aug 2013	Aug 2013	1 month	Nov 2013	3 months	4 months	-3.94%
Worst 10 drawdowns included above

Drawdowns for Vanguard 500 Index Investor

Drawdowns for Vanguard 500 Index Investor (worst 10)
Rank	Start	End	Length	Recovery By	Recovery Time	Underwater Period	Drawdown
1	Nov 2007	Feb 2009	1 year 4 months	Aug 2012	3 years 6 months	4 years 10 months	-50.97%
2	Jan 2022	Sep 2022	9 months				-23.95%
3	Jan 2020	Mar 2020	3 months	Jul 2020	4 months	7 months	-19.63%
4	Oct 2018	Dec 2018	3 months	Apr 2019	4 months	7 months	-13.55%
5	Aug 2015	Sep 2015	2 months	May 2016	8 months	10 months	-8.38%
6	Sep 2020	Oct 2020	2 months	Nov 2020	1 month	3 months	-6.38%
7	May 2019	May 2019	1 month	Jun 2019	1 month	2 months	-6.36%
8	Feb 2018	Mar 2018	2 months	Jul 2018	4 months	6 months	-6.16%
9	Jun 2007	Jul 2007	2 months	Sep 2007	2 months	4 months	-4.71%
10	Sep 2021	Sep 2021	1 month	Oct 2021	1 month	2 months	-4.66%
Worst 10 drawdowns included above

Portfolio Assets

Performance statistics for portfolio components
Ticker	Name	CAGR	Stdev	Best Year	Worst Year	Max Drawdown	Sharpe Ratio	Sortino Ratio	Market Correlation
BRK.A	Berkshire Hathaway Inc.	9.45%	17.18%	32.70%	-31.78%	-44.49%	0.54	0.90	0.60

Portfolio Asset Performance

Performance of portfolio assets
Name	Total Return			Annualized Return
Name	3 Month	Year To Date	1 year	3 year	5 year	10 year
Berkshire Hathaway Inc.	15.31%	4.00%	4.00%	11.34%	9.51%	13.33%
Trailing returns as of last calendar month ending December 2022

Annual Asset Returns

Rolling Returns

Rolling returns summary
Roll Period	Berkshire Hathaway Inc.			Vanguard 500 Index Investor
Roll Period	Average	High	Low	Average	High	Low
1 year	10.91%	56.60%	-43.86%	10.69%	56.19%	-43.32%
3 years	9.73%	25.35%	-6.49%	9.84%	25.91%	-15.18%
5 years	9.45%	17.90%	-3.62%	9.57%	22.85%	-6.73%
7 years	9.90%	16.97%	3.03%	10.25%	17.12%	2.20%
10 years	10.44%	15.81%	6.28%	10.66%	16.52%	6.32%
15 years	9.33%	11.11%	7.90%	9.17%	10.77%	7.45%

Backtest Portfolio Asset Allocation

Portfolio Backtesting Overview

Portfolio Model Configuration

Portfolio Analysis Results (Jan 2004 - Dec 2022)

Berkshire Hathaway Inc.

Performance Summary

Portfolio Growth

Annual Returns

Trailing Returns

Annual Returns

Monthly Returns

Holdings Based Style Analysis for Berkshire Hathaway Inc.

Asset Allocation

Equity Market Capitalization

Equity Sectors

Risk and Return Metrics

Drawdowns

Historical Market Stress Periods

Drawdowns for Berkshire Hathaway Inc.

Drawdowns for Vanguard 500 Index Investor

Portfolio Assets

Portfolio Asset Performance

Annual Asset Returns

Rolling Returns

Annualized Rolling Return - 3 Years

Annualized Rolling Return - 5 Years