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Moving Average โ€” Smart Financial Analysis

Calculate SMA, EMA, WMA. Trading signals, golden cross, death cross, trend analysis.

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Moving Average
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A moving average smooths price data by averaging prices over a set period (e.g., 50 days). SMA gives equal weight to all prices in the period. Golden cross: 50-day MA crosses above 200-day MAโ€”bullish signal. Day traders use 9/21 EMA.

Key figures
Core Concept
Moving Average
Investments fundamental
Benchmark
Industry Standard
Compare your results
Proven Math
Formula Basis
Established methodology
Expert Verified
Best Practice
Professional standard

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Why: A moving average smooths price data by averaging prices over a set period (e.g., 50 days). It reduces noise and reveals trend direction. The 200-day MA is the most watched for l...

How: Enter Price Data (comma-separated), Period, MA Type to get instant results. Try the preset examples to see how different scenarios affect the outcome, then adjust to match your situation.

A moving average smooths price data by averaging prices over a set period (e.g., 50 days).SMA gives equal weight to all prices in the period.

Run the calculator when you are ready.

Calculate Moving AverageEnter your values below

๐Ÿ“‹ Quick Examples โ€” Click to Load

e.g. 100,102,104,...
MA period
Moving average type
moving_avg.shCALCULATED
Latest MA
116.05
Crossovers
0
Data Points
30
MA Values
11

๐Ÿ“Š MA Types

๐Ÿ“ˆ Price vs MA Overlay

๐Ÿฅง EMA Weight Distribution

๐Ÿ“Š Signal Comparison

Latest MA

116.05116.05

0 crossovers

For educational purposes only โ€” not financial advice. Consult a qualified advisor before making decisions.

๐Ÿ’ก Money Facts

๐Ÿ“ˆ

Moving Average analysis is used by millions of people worldwide to make better financial decisions.

โ€” Industry Data

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Financial literacy can increase household wealth by up to 25% over a lifetime.

โ€” NBER Research

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The average American makes 35,000 financial decisions per yearโ€”many can be optimized with calculators.

โ€” Cornell University

๐ŸŒ

Globally, only 33% of adults are financially literate, making tools like this essential.

โ€” S&P Global

Moving averages smooth price data to reveal trends. SMA (Simple) gives equal weight; EMA (Exponential) weights recent prices more. The 200-day MA is the most watched. Golden cross (50 above 200) has ~73% win rate on S&P 500. MA was first used in markets in 1901.

200-day
Most Watched MA
50/200
Golden Cross Pair
73%
Win Rate Golden Cross S&P
1901
MA First Used in Markets

Sources: Investopedia, CME Group, TradingView, NYSE Research

Key Takeaways

  • โ€ข SMA = equal weight; EMA = more weight to recent prices
  • โ€ข Golden cross (50โ†‘200) bullish; death cross (50โ†“200) bearish
  • โ€ข 200-day MA = long-term trend; 20-day = short-term
  • โ€ข Use MA as dynamic support/resistance

Did You Know?

๐Ÿ”ข 200-day MA first used by Dow theorists in early 1900s
๐Ÿ“Š Golden cross on S&P 500 has ~73% forward 12-mo win rate
๐Ÿ’ก EMA formula: EMA = Price ร— k + PrevEMA ร— (1-k), k=2/(n+1)
๐ŸŒ 50/200 crossover is institutional favorite
๐Ÿ“ˆ Shorter MA = more signals but more noise
๐ŸŽฏ WMA gives linear weights (1,2,3...n) to recent data

How Do Moving Averages Work?

SMA Formula

SMA = (P1 + P2 + ... + Pn) / n. Equal weight to each price in the period.

EMA Formula

EMA = Price ร— (2/(n+1)) + PrevEMA ร— (1 - 2/(n+1)). More responsive to new data.

Crossover Signals

Price above MA = uptrend. Shorter MA above longer MA = bullish. Opposite = bearish.

Expert Tips

Use 50/200 for trend; 9/21 for entries.
Combine MA with RSI or volume for confirmation.
MAs lagโ€”avoid in choppy sideways markets.
200-day acts as support in bull markets.

MA Type Comparison

TypeResponsivenessBest For
SMALowLong-term trend
EMAHighShort-term signals
WMAMediumCustom weighting

Frequently Asked Questions

What is a moving average?

A moving average smooths price data by averaging prices over a set period (e.g., 50 days). It reduces noise and reveals trend direction. The 200-day MA is the most watched for long-term trend; prices above it suggest uptrend.

What is the difference between SMA and EMA?

SMA gives equal weight to all prices in the period. EMA gives more weight to recent pricesโ€”it responds faster to new data. EMA is preferred for short-term trading; SMA for long-term trend identification.

What are golden cross and death cross?

Golden cross: 50-day MA crosses above 200-day MAโ€”bullish signal. Death cross: 50-day crosses below 200-dayโ€”bearish. On the S&P 500, golden cross has ~73% win rate historically.

What is the best MA period for trading?

Day traders use 9/21 EMA. Swing traders use 20/50. Long-term investors watch 50/200. The 200-day is most widely followed. Match period to your holding timeframe.

How do I use MA for entry and exit?

Buy when price crosses above MA or when shorter MA crosses above longer MA. Sell on opposite crossovers. Use MA as dynamic support (uptrend) or resistance (downtrend).

What is MACD and how does it relate to moving averages?

MACD (Moving Average Convergence Divergence) uses 12 and 26-period EMAs. The MACD line = 12 EMA - 26 EMA. Signal line is 9-period EMA of MACD. Crossovers generate buy/sell signals.

Key Statistics

200-day
Most Watched MA
50/200
Golden Cross Pair
73%
Golden Cross Win S&P
1901
MA First Used

Official Data Sources

โš ๏ธ Disclaimer: This calculator is for educational purposes only. Past performance does not guarantee future results. Not financial advice.

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