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BRZU vs. EFO
Performance
Return for Risk
Drawdowns
Volatility
Dividends

Performance

BRZU vs. EFO - Performance Comparison

The chart below illustrates the hypothetical performance of a $10,000 investment in Direxion Daily Brazil Bull 2X Shares (BRZU) and ProShares Ultra MSCI EAFE (EFO). The values are adjusted to include any dividend payments, if applicable.

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Returns By Period

In the year-to-date period, BRZU achieves a 11.76% return, which is significantly lower than EFO's 12.87% return. Over the past 10 years, BRZU has underperformed EFO with an annualized return of -16.20%, while EFO has yielded a comparatively higher 10.16% annualized return.


BRZU

1D
-6.46%
1M
-22.26%
YTD
11.76%
6M
2.36%
1Y
55.66%
3Y*
9.42%
5Y*
-4.04%
10Y*
-16.20%

EFO

1D
-1.58%
1M
6.17%
YTD
12.87%
6M
17.60%
1Y
34.57%
3Y*
23.50%
5Y*
7.18%
10Y*
10.16%
*Multi-year figures are annualized to reflect compound growth (CAGR)

BRZU vs. EFO - Yearly Performance Comparison


2026 (YTD)202520242023202220212020201920182017
BRZU
Direxion Daily Brazil Bull 2X Shares
11.76%97.99%-57.07%55.48%8.30%-39.23%-91.34%57.02%-37.21%30.80%
EFO
ProShares Ultra MSCI EAFE
12.87%58.51%-2.15%25.77%-33.62%19.38%2.29%40.93%-30.91%51.78%

Correlation

The correlation between BRZU and EFO is 0.61, which is moderate. They share some common price drivers but move independently often enough to provide real diversification benefit when combined.


Correlation
Correlation (1Y)
Calculated over the trailing 1-year period

0.61

Correlation (3Y)
Calculated over the trailing 3-year period

0.54

Correlation (5Y)
Calculated over the trailing 5-year period

0.52

Correlation (10Y)
Calculated over the trailing 10-year period

0.49

Correlation (All Time)
Calculated using the full available price history since Apr 11, 2013

0.45

The correlation between BRZU and EFO shifts across timeframes, from 0.45 (all time) to 0.61 (1 year), reflecting how their relationship changes across market environments.

BRZU vs. EFO - Sectors Allocation Comparison


Sectors
BRZU
EFO

Financial Services

32.7%
40.7%

Energy

18.7%

-

Basic Materials

13.7%

-

Utilities

12.8%

-

Industrials

10.9%

-

Consumer Defensive

4.2%

-

Healthcare

2.4%

-

Communication Services

2.2%

-

Consumer Cyclical

1.5%

-

Technology

0.9%

-

Real Estate

-

-

Financial Services

BRZU
32.7%
EFO
40.7%

Energy

BRZU
18.7%
EFO

-

Basic Materials

BRZU
13.7%
EFO

-

Utilities

BRZU
12.8%
EFO

-

Industrials

BRZU
10.9%
EFO

-

Consumer Defensive

BRZU
4.2%
EFO

-

Healthcare

BRZU
2.4%
EFO

-

Communication Services

BRZU
2.2%
EFO

-

Consumer Cyclical

BRZU
1.5%
EFO

-

Technology

BRZU
0.9%
EFO

-

Real Estate

BRZU

-

EFO

-

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Return for Risk

BRZU vs. EFO — Risk / Return Rank

Compare risk-adjusted metric ranks to identify better-performing investments over the past 12 months.

BRZU
BRZU Risk / Return Rank: 3232
Overall Rank
BRZU Sharpe Ratio Rank: 3131
Sharpe Ratio Rank
BRZU Sortino Ratio Rank: 3030
Sortino Ratio Rank
BRZU Omega Ratio Rank: 3131
Omega Ratio Rank
BRZU Calmar Ratio Rank: 3535
Calmar Ratio Rank
BRZU Martin Ratio Rank: 3434
Martin Ratio Rank

EFO
EFO Risk / Return Rank: 3232
Overall Rank
EFO Sharpe Ratio Rank: 3131
Sharpe Ratio Rank
EFO Sortino Ratio Rank: 3131
Sortino Ratio Rank
EFO Omega Ratio Rank: 3030
Omega Ratio Rank
EFO Calmar Ratio Rank: 3232
Calmar Ratio Rank
EFO Martin Ratio Rank: 3535
Martin Ratio Rank
The rank (0–100) shows how this investment's returns compare to the risk taken. Higher = better. Based on the past 12 months of data, combining Sharpe, Sortino, and other metrics used by quantitative funds and institutional investors.

BRZU vs. EFO - Risk-Adjusted Trends Comparison

This table presents a comparison of risk-adjusted performance metrics for Direxion Daily Brazil Bull 2X Shares (BRZU) and ProShares Ultra MSCI EAFE (EFO). Risk-adjusted metrics are performance indicators that assess an investment's returns in relation to its risk, enabling a more accurate comparison of different investment options.


BRZUEFODifference

Sharpe ratio

Return per unit of total volatility

1.13

1.14

-0.01

Sortino ratio

Return per unit of downside risk

1.65

1.71

-0.06

Omega ratio

Gain probability vs. loss probability

1.21

1.21

+0.01

Calmar ratio

Return relative to maximum drawdown

1.73

1.57

+0.16

Martin ratio

Return relative to average drawdown

5.24

5.42

-0.18

BRZU vs. EFO - Sharpe Ratio Comparison

The current BRZU Sharpe Ratio is 1.13, which is comparable to the EFO Sharpe Ratio of 1.14. The chart below compares the historical Sharpe Ratios of BRZU and EFO, calculated using daily returns over the previous 12 months. A higher Sharpe Ratio indicates better risk-adjusted performance relative to the risk-free rate.


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Sharpe Ratios by Period


BRZUEFODifference

Sharpe Ratio (1Y)

Calculated over the trailing 1-year period

1.13

1.14

-0.01

Sharpe Ratio (5Y)

Calculated over the trailing 5-year period

-0.07

0.22

-0.29

Sharpe Ratio (10Y)

Calculated over the trailing 10-year period

-0.20

0.30

-0.49

Sharpe Ratio (All Time)

Calculated using the full available price history

-0.35

0.23

-0.58

Drawdowns

BRZU vs. EFO - Drawdown Comparison

The maximum BRZU drawdown since its inception was -99.71%, which is greater than EFO's maximum drawdown of -63.52%. Use the drawdown chart below to compare losses from any high point for BRZU and EFO.


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Drawdown Indicators


BRZUEFODifference

Max Drawdown

Largest peak-to-trough decline

-99.71%

-63.52%

-36.19%

Max Drawdown (1Y)

Largest decline over 1 year

-32.39%

-22.18%

-10.21%

Max Drawdown (3Y)

Largest decline over 3 years

-58.25%

-26.85%

-31.40%

Max Drawdown (5Y)

Largest decline over 5 years

-65.00%

-53.95%

-11.05%

Max Drawdown (10Y)

Largest decline over 10 years

-98.11%

-63.52%

-34.59%

Current Drawdown

Current decline from peak

-99.20%

-5.54%

-93.66%

Average Drawdown

Average peak-to-trough decline

-89.55%

-18.67%

-70.88%

Ulcer Index

Depth and duration of drawdowns from previous peaks

10.66%

6.39%

+4.27%

Volatility

BRZU vs. EFO - Volatility Comparison

Direxion Daily Brazil Bull 2X Shares (BRZU) has a higher volatility of 15.75% compared to ProShares Ultra MSCI EAFE (EFO) at 10.08%. This indicates that BRZU's price experiences larger fluctuations and is considered to be riskier than EFO based on this measure. The chart below showcases a comparison of their rolling one-month volatility.


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Volatility by Period


BRZUEFODifference

Volatility (1M)

Calculated over the trailing 1-month period

15.75%

10.08%

+5.67%

Volatility (6M)

Calculated over the trailing 6-month period

41.66%

25.18%

+16.48%

Volatility (1Y)

Calculated over the trailing 1-year period

49.58%

30.54%

+19.04%

Volatility (5Y)

Calculated over the trailing 5-year period, annualized

55.40%

32.98%

+22.42%

Volatility (10Y)

Calculated over the trailing 10-year period, annualized

83.15%

34.09%

+49.06%

BRZU vs. EFO - Expense Ratio Comparison

BRZU has a 1.29% expense ratio, which is higher than EFO's 0.95% expense ratio.


Dividends

BRZU vs. EFO - Dividend Comparison

BRZU's dividend yield for the trailing twelve months is around 2.39%, more than EFO's 1.54% yield.


PositionTTM202520242023202220212020201920182017
BRZU
Direxion Daily Brazil Bull 2X Shares
2.39%2.39%8.73%3.24%4.70%6.29%0.78%0.95%1.04%0.74%
EFO
ProShares Ultra MSCI EAFE
1.54%1.65%2.24%1.93%0.00%0.00%0.00%0.37%0.11%0.00%

Frequently Asked Questions


BRZU and EFO have a correlation of 0.61, meaning they provide meaningful diversification benefit when combined. Depending on your allocation goals, holding both could reduce overall portfolio risk.

BRZU has higher volatility (15.75%) compared to EFO (10.08%). In terms of maximum drawdown, BRZU dropped -99.71% vs EFO's -63.52%.

On 10-year performance, EFO leads with 10.16% vs -16.20% for BRZU. On fees, EFO is cheaper at 0.95% per year. On volatility, EFO has been the lower-risk option at 10.08%. The better choice depends on whether you care most about return, fees, risk, or income.

Over the 10-year period, EFO has performed better with a 10.16% return vs -16.20%. Past performance does not guarantee future results, so compare this with risk, fees, and fund exposure.

EFO is cheaper with a 0.95% expense ratio, compared with 1.29% for BRZU.

BRZU has the higher dividend yield at 2.39%, compared with 1.54% for EFO.

BRZU tracks MSCI Brazil 25/50 Index, while EFO tracks MSCI EAFE Index (200%). They also come from different issuers: Direxion and ProShares. Their fees differ too: 1.29% for BRZU and 0.95% for EFO.

EFO currently has the higher Sharpe Ratio (1.14 vs 1.13), meaning it's delivered slightly more return per unit of risk over the trailing 12 months. However, this ranking shifts over time - use the Risk/Return Score above for a more comprehensive view that combines Sharpe, Sortino, and other measures used by quantitative funds.

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