波浪理论

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各行其道,行稳致远
Guotou Securities· 2025-08-16 13:19
- The report mentions the "Four-Wheel Drive Model" as a quantitative model used for analyzing trading opportunities across various sectors[17] - The model identifies potential trading signals based on sector-specific metrics and ETF benchmarks, such as the CSI 931409 (China Securities Shanghai-Shenzhen Innovative Medicine Index) and CSI 931071 (China Securities Artificial Intelligence Index)[17] - The model highlights short-term rebound opportunities in sectors like banking, innovative medicine, and artificial intelligence, based on technical indicators such as low-level stabilization signals and moving average alignments[17]
基于浮动频率傅里叶变换视角解析技术分析的数学本质及趋势判断
ZHONGTAI SECURITIES· 2025-08-07 13:05
Quantitative Models and Construction Methods - **Model Name**: Floating Frequency Fourier Transform Model **Construction Idea**: The model aims to overcome the limitations of traditional Fourier analysis by introducing floating frequencies, which adapt to real-world market dynamics such as macroeconomic changes and capital structure shifts[64][65][66] **Construction Process**: 1. **Filtering**: Use Butterworth filter to remove high-frequency noise and retain trend data. The filter is applied to the logarithmic weekly closing prices of the Shanghai Composite Index, with cutoff frequency set at 0.1 and sampling frequency at 1.0[65][67] 2. **Frequency and Amplitude Selection**: Perform discrete fast Fourier transform on filtered data to extract amplitude and phase information. Key frequencies are identified based on amplitude peaks, e.g., 94.1 weeks, 80.5 weeks, and 62.6 weeks[75][78] 3. **Waveform Reconstruction**: Combine selected frequencies and amplitudes to reconstruct the market trend curve. The reconstructed curve includes direct current components and sinusoidal terms with specific frequencies and initial phases[68][78] **Evaluation**: The floating frequency approach improves prediction accuracy by preserving real-world frequency characteristics and reducing extrapolation errors[64][65][66] - **Model Name**: Dual Optimization Floating Frequency Fourier Transform Model **Construction Idea**: Enhance the floating frequency Fourier transform by optimizing both amplitude and frequency to better fit market trends and improve prediction accuracy[85][86][87] **Construction Process**: 1. **Inner Optimization**: Use non-linear least squares to optimize amplitude values (sin and cos terms) for given initial frequency values. Frequencies are combined with the top two amplitudes from Fourier transform results to form a fitting curve[87][88] 2. **Outer Optimization**: Apply particle swarm optimization to determine the best floating frequencies (e.g., 39.02 weeks, 19.17 weeks, and 8.13 weeks). Training data spans 10 years (2014-2024), and the model is validated using 2024-2025 data[87][88][100] **Evaluation**: The dual optimization method significantly improves trend accuracy compared to simple floating frequency models, especially in capturing major market movements[85][86][100] Model Backtesting Results - **Floating Frequency Fourier Transform Model**: - Key frequencies: 94.1 weeks, 80.5 weeks, 62.6 weeks[78][80][81] - Observed discrepancies in certain periods, e.g., 2014-2015 and 2017-2019, indicating limitations in amplitude selection methods[81] - **Dual Optimization Floating Frequency Fourier Transform Model**: - Optimized frequencies: 39.02 weeks, 19.17 weeks, 8.13 weeks[100] - Improved accuracy in major trend predictions, e.g., capturing relative highs in September 2021[100] - Future predictions: Long-term upward trend from 2024 to 2027, with key oscillations in August 2025 and August 2026[102][103] Quantitative Factors and Construction Methods - **Factor Name**: Harmonic Sine Wave Factor **Construction Idea**: Simulate price movements using harmonic sine waves to replicate Elliott Wave patterns[39][42] **Construction Process**: - Formula: $y(n) = 4*sin(0.00125n)+2*sin(0.01n)+1*sin(0.04n)+0.5*sin(0.16n)$ - Variables: $n$ represents time, $y(n)$ represents price index - Frequency structure: Base frequency 0.00125, harmonic frequencies follow $2^k$ relationship (k=-3,0,2,4) - Amplitude decay: Coefficients follow $2^{-m}$ rule (m=-1,0,1,2)[39][42] **Evaluation**: Successfully replicates 5-3 wave patterns described in Elliott Wave theory, providing a mathematical basis for wave analysis[39][42] - **Factor Name**: Pletcher Fibonacci Wave Factor **Construction Idea**: Introduce quasi-periodic characteristics by incorporating non-harmonic frequencies into wave simulation[50][51] **Construction Process**: - Formula: $y(n) = 4*sin(0.00125n)+sin(0.01n)+1/2*sin(0.04n)+1/4*sin(0.17n)+1/8*sin(0.72n)+1/16*sin(0.305n)$ - Frequency relationships: Some frequencies maintain harmonic relationships (e.g., 0.00125, 0.01, 0.04), while others exhibit non-harmonic relationships (e.g., 0.17, 0.72, 0.305)[50][51] **Evaluation**: Captures floating frequency characteristics and quasi-periodic behavior, aligning with real-world market dynamics[50][51] Factor Backtesting Results - **Harmonic Sine Wave Factor**: - Successfully replicates Elliott Wave patterns, including 5-3 wave structures[39][42] - **Pletcher Fibonacci Wave Factor**: - Demonstrates quasi-periodic behavior, reflecting floating frequency characteristics in market data[50][51]
黄金走势推演与后市机会分析(2025.7.27)
Sou Hu Cai Jing· 2025-07-27 07:59
Group 1: Fundamental Analysis - Gold prices experienced fluctuations, with a strong dollar and progress in US-EU trade negotiations impacting demand for safe-haven assets, leading to a decline in gold prices [2] - Central bank buying provided support for gold, while hedge funds increased their bullish bets on gold to the highest level since April, with net long positions rising by 19% to 170,868 contracts [2] - The ongoing trade war initiated by the Trump administration has contributed to a 27% increase in gold prices this year [2] Group 2: US-EU Trade Negotiations - The European Commission indicated that a trade agreement with the US is imminent, although EU member states have approved counter-tariffs on US goods in case negotiations fail [3] - President Trump stated that he would meet with the EU on Sunday, estimating a 50% chance of reaching an agreement, which faces about 20 "sticking points" [3] Group 3: Federal Reserve Dynamics - Market expectations suggest that stable labor market data will support the Federal Reserve in maintaining interest rates between 4.25% and 4.50% in the upcoming meeting [4] - President Trump pressured the Federal Reserve for significant rate cuts during a surprise visit, emphasizing that the US should have the lowest interest rates [4] - Former Fed officials expressed support for a rate cut, while some analysts viewed Trump's visit as a political maneuver to increase pressure on the Fed [4] Group 4: Geopolitical Situations - In the Israel-Palestine conflict, Hamas officials reported positive progress in negotiations for a ceasefire, indicating readiness to finalize an agreement [5] - Turkey's foreign minister expressed optimism about coordinating a summit between Russia and Ukraine, suggesting a potential transitional resolution to the conflict [5] Group 5: Market Outlook - Upcoming events, including the Federal Reserve's decision, non-farm payroll data, and trade talks between China and the US, are expected to influence market trends in the second half of the year [6] - The technical analysis indicates that gold is likely entering a downward phase, with a focus on the triangular consolidation pattern and potential breakout directions [7][11]
黄金走势推演与后市机会分析(2025.7.20)
Sou Hu Cai Jing· 2025-07-20 06:12
Group 1 - The overall performance of gold this week showed volatility, with a downward trend at the beginning of the week, a significant rise on Wednesday, and fluctuations leading to a small upward close on Friday [2][7] - Economic data indicated a robust foundation, with June retail sales growing by 0.6%, initial jobless claims for the week of July 12 at 221,000, and a slight acceleration in inflation with June CPI rising to 2.7% [3] - The geopolitical situation remains tense, with Trump indicating a potential easing of enforcement against Iran while Iranian-backed militia groups reportedly attacked oil fields in Iraq [4] Group 2 - Next week, the focus will be on central bank dynamics, particularly the Federal Reserve's response to economic data and internal policy disagreements regarding interest rate cuts [5] - Key economic data to watch includes manufacturing and services PMI for the Eurozone and the U.S., which will reflect the impact of trade uncertainties on the economy [5][6] - The technical analysis suggests that gold is currently in a corrective phase, with the need to observe the internal structure of the current wave to determine future movements [10][11]
黄金走势推演与后市机会分析(2025.7.13)
Sou Hu Cai Jing· 2025-07-13 07:47
Group 1: Market Overview - The week started with gold prices experiencing fluctuations and a downward trend, followed by a rebound on Wednesday and continued upward movement on Thursday and Friday, resulting in a weekly candlestick with a lower shadow [2] - The Trump administration has intensified trade policies, imposing a 25% tariff on goods from Japan and South Korea, and a 50% tariff on imported copper, which may lead to increased manufacturing costs in the U.S. [3] - The U.S. trade deficit reached a record high of $100.4 billion in May 2024, contributing to uncertainty in trade policies that support gold prices [3] Group 2: Federal Reserve Insights - The Federal Open Market Committee (FOMC) maintained interest rates at 5.25%-5.5% during the June meeting, with expectations of a potential 50 basis point cut by the end of 2025 [3] - Market expectations indicate a 70% probability of a rate cut in September, while the likelihood for July is only 15% [3] - Various Federal Reserve officials have expressed differing views on potential rate cuts, with some supporting a July cut while others remain cautious [4] Group 3: Economic Data and Indicators - The upcoming focus will be on the June U.S. Consumer Price Index (CPI), with expectations of a 3.1% year-over-year increase and a 3.4% rise in core CPI, which could influence the likelihood of a July rate cut [4] - Other important economic indicators include retail sales and the preliminary consumer sentiment index from the University of Michigan [4] Group 4: Technical Analysis - The current market movement aligns with the expected wave structure, indicating that the second wave's adjustment is concluding, and a third wave structure is anticipated to begin [8] - The focus for the upcoming week will be on confirming the completion of the second wave's three-wave structure before entering the C-3 wave opportunity [11]
下半年,如何让钱生钱?
虎嗅APP· 2025-07-09 00:42
Core Viewpoint - The article discusses the changing landscape of investment strategies in light of declining interest rates and the need for diversified asset allocation to preserve and grow wealth in an uncertain economic environment [3][5]. Group 1: Economic Context - Inflation has significantly decreased, with CPI showing negative growth for four consecutive months starting February 2025, making it easier for individuals to maintain purchasing power without active investment [3]. - The interest rate for one-year deposits at major banks has dropped to 0.9%, resulting in minimal returns for savers [4]. Group 2: Asset Allocation Strategies - A diversified asset allocation strategy is recommended, focusing on four main asset classes: A-shares, gold, domestic bonds, and U.S. bonds, each with distinct risk-return profiles [6]. - A-shares are seen as a representative of domestic equity assets, while gold serves as a recognized hedge against inflation. Domestic bonds are favored for their stability and credit quality, and U.S. bonds are crucial for currency risk hedging [6]. Group 3: A-shares Market Analysis - The biggest risk for A-shares this year has been the U.S.-China trade tensions, which caused significant market fluctuations, including a 7.34% drop in the Shanghai Composite Index on April 7 [8][10]. - Despite initial pessimism regarding economic performance, recent data indicates a recovery in manufacturing PMI and stable export performance, leading to a rebound in A-shares [9][10]. - The market is currently experiencing a bullish phase, but uncertainty remains regarding the sustainability of this trend, heavily dependent on economic fundamentals [12]. Group 4: Gold Market Insights - The perception of gold has shifted, with recent price volatility reflecting market sensitivity to geopolitical events and trade negotiations. Gold prices reached a peak increase of 30% this year, driven by trade tensions [12][14]. - Short-term outlook for gold is cautious, with potential price corrections anticipated due to changing market sentiments and economic indicators in the U.S. [16][17]. Group 5: Bond Market Dynamics - The bond market in 2025 is characterized by lower returns compared to 2024, with ten-year government bond ETFs showing only a 0.81% increase in the first half of the year [20][23]. - The strategy for bond investments should focus on tactical trading rather than long-term holding, with specific yield thresholds suggested for buying and selling [24]. Group 6: U.S. Bond Market Concerns - The yield on U.S. ten-year bonds has risen above 4.6%, indicating a shift in perception where they are increasingly viewed as risk assets rather than safe havens [26][27]. - Recent legislative developments regarding stablecoins may provide temporary relief, but they do not address the underlying structural issues facing the U.S. bond market [28][29].
黄金走势推演与后市机会分析(2025.7.6)
Sou Hu Cai Jing· 2025-07-06 14:03
Core Viewpoint - The gold market experienced a three-day upward trend driven by safe-haven demand and a weak dollar, but faced a pullback due to stronger-than-expected U.S. non-farm payroll data, ultimately closing the week with a slight gain [1] Group 1: Fundamental Analysis - U.S. non-farm payroll data for June showed an increase of 147,000 jobs, surpassing the expected 111,000, with the unemployment rate dropping to 4.1%. This data weakened expectations for a Federal Reserve rate cut in July, leading to a significant drop in gold prices on Thursday [2] - Uncertainty surrounding Trump's tariff policy, with a 90-day tariff suspension period ending on July 9, has supported gold as a safe-haven asset while increasing market volatility [2] - The U.S. Congress passed a tax reform bill that will increase the federal deficit by $3.4 trillion over the next decade, with total U.S. debt exceeding $37 trillion. This rising sovereign debt diminishes the dollar's attractiveness and supports a long-term upward trend for gold [2] - Easing geopolitical tensions, particularly regarding the Russia-Ukraine conflict and progress in Iran nuclear negotiations, have reduced the geopolitical risk premium, putting some pressure on gold prices [2] Group 2: Upcoming Events - Key events to watch next week include the Reserve Bank of Australia's monetary policy decision on July 8, the release of the Federal Reserve's June FOMC meeting minutes on July 9, and the weekly initial jobless claims data on July 10. These events may provide insights into monetary policy and economic outlook, impacting gold prices [3] - July 9 marks the deadline for Trump's tariffs, with ongoing negotiations with major economies like Japan and India progressing slowly. The market anticipates potential threats of increased tariffs to compel concessions from other countries, although an extension of the deadline is also likely [3] Group 3: Technical Analysis - The gold market exhibited a fluctuating upward trend this week, closing with a bullish candlestick, aligning with the expectation of a near-term bottom and subsequent rebound [4] - The current market is in a corrective phase following a rise from a low of 3347 to a high of 3365, indicating a second wave adjustment within a larger upward structure. The focus will be on the progress of this correction, with anticipation for a subsequent third wave upward movement [5][7] - After the completion of the second wave rebound, attention will shift to potential opportunities in the third wave downward movement, which is a key focus for upcoming trading strategies [8]
A股到美债:四大资产怎么选?
Hu Xiu· 2025-07-04 09:07
Core Viewpoint - The article discusses the changing landscape of investment strategies in response to the declining interest rates and the impact of geopolitical events, particularly the US-China trade tensions, on various asset classes. Group 1: Economic Environment and Investment Strategy - The current economic environment is characterized by a significant decline in inflation, with CPI showing negative growth for four consecutive months starting February 2025, making it easier for individuals to maintain purchasing power without active investment [1][2] - The interest rates for one-year deposits at major banks have dropped to 0.9%, leading to a diminishing return on traditional savings, which poses challenges for individuals seeking to grow their wealth through savings alone [2][3] - The article emphasizes the importance of diversified asset allocation in a highly uncertain global environment, advocating for a strategy of not putting all eggs in one basket [2][3] Group 2: Asset Classes Overview - A-shares, gold, government bonds, and US Treasuries are identified as the core asset classes for domestic investors, each with distinct risk-return profiles [3] - A-shares are seen as having optimistic potential, contingent on effective domestic policy support for the economy, while the bond market is expected to have limited upside and increased volatility compared to 2024 [3][4] - Gold is recommended for accumulation rather than speculation, as its price may face short-term pressures despite having long-term upward potential due to factors like a weakening dollar and potential tariff increases [3][10] Group 3: A-shares Market Analysis - The US-China trade conflict is identified as the primary "black swan" event affecting the A-share market, with significant market reactions observed following escalations in trade tensions [4][8] - Despite initial pessimism regarding economic performance post-trade conflict, recent data indicates a stabilization in manufacturing and external trade, contributing to a recovery in A-share prices [6][8] - The article notes that the market's future performance will depend heavily on the resilience of financial stocks and the overall economic outlook [6][8] Group 4: Gold Market Dynamics - The perception of gold as an investment has become more complex, with recent price fluctuations reflecting heightened sensitivity to market conditions and geopolitical developments [10][11] - The article highlights that while gold prices surged earlier in the year, the current market sentiment is cautious, with predictions of potential declines in gold prices due to stronger US economic indicators [10][14] - Long-term prospects for gold remain positive, particularly as a hedge against the declining credibility of the dollar, but short-term volatility is expected [14][16] Group 5: Bond Market Insights - The bond market has shifted from a bullish to a more cautious stance, with lower returns expected in 2025 compared to the previous year, making it more suitable for tactical trading rather than buy-and-hold strategies [17][19] - The article suggests that investors should focus on yield movements in the 10-year government bond market to inform their trading decisions, as the relationship between bond prices and yields is inversely correlated [21][23] - The US Treasury market is under scrutiny due to rising yields, which are increasingly viewed as risk assets rather than safe havens, indicating a need for careful investment strategies [23][25]
如何寻找潜在的价格反转信号
Guotou Securities· 2025-06-29 06:38
Quantitative Models and Construction Methods 1. Model Name: Divergence-Based Turning Points - **Model Construction Idea**: The model identifies potential price turning points by observing divergences between price trends and volume or technical indicators (e.g., MACD). Divergences signal weakening momentum, suggesting a possible reversal in the price trend [2][9]. - **Model Construction Process**: 1. Identify price making new highs or lows. 2. Check if corresponding volume or MACD fails to make new highs or lows, indicating divergence. 3. Confirm divergence using additional signals: - For MACD, use green bar shortening or yellow/white line crossover for confirmation [10]. - Apply wave theory to filter valid signals by identifying five-wave structures in trends [14][16]. 4. Combine divergence signals with moving averages to determine market conditions (e.g., bull or bear market) [14][16]. - **Model Evaluation**: Divergence signals alone have a success rate of less than 55% for predicting turning points. However, combining them with wave theory and moving averages improves accuracy to over 65% [13][16][17]. 2. Model Name: V-Shaped Reversal Turning Points - **Model Construction Idea**: This model uses the "Temperature Indicator" to measure the degree of price deviation from moving averages, identifying extreme conditions that may signal V-shaped reversals [3][18][19]. - **Model Construction Process**: 1. Calculate a moving average (e.g., 60-day for short-term trends, annual for long-term trends). 2. Shift the moving average left by half its parameter length. 3. Linearly extrapolate the last two points of the shifted moving average. 4. Compute the deviation (bias) of each price point from the extrapolated moving average. 5. Calculate the percentile rank of the deviation over a rolling window to derive the "Temperature Indicator," which ranges from 0 to 100 [18][19]. 6. Define thresholds for identifying turning points: - In bear markets, both high-frequency and low-frequency temperature indicators must fall below 10. - In range-bound markets, only the high-frequency indicator below 10 is sufficient. - In bull markets, consider additional risks and adjust thresholds (e.g., high-frequency indicator below 15 or 10) [19][21][26]. - **Model Evaluation**: The model effectively identifies turning points in various market conditions but requires adjustments for bull markets to account for strong trends and potential false signals [27][28]. --- Model Backtesting Results 1. Divergence-Based Turning Points - **Accuracy**: Basic divergence signals have a success rate below 55% but improve to over 65% when combined with wave theory and moving averages [13][16][17]. 2. V-Shaped Reversal Turning Points - **Bear Market**: High-frequency and low-frequency temperature indicators below 10 successfully identified rebounds in January, February, and April 2022, each lasting over a month [21]. - **Range-Bound Market**: High-frequency temperature indicator below 10 identified rebounds in January and April 2025 during a three-quarter-long consolidation phase [22][25]. - **Bull Market**: High-frequency temperature indicator below 10 or 15 identified five strong buying opportunities in gold futures from 2023 to 2025 [26]. --- Quantitative Factors and Construction Methods 1. Factor Name: Temperature Indicator - **Factor Construction Idea**: Measures price deviation from moving averages to identify extreme overbought or oversold conditions [18][19]. - **Factor Construction Process**: 1. Use a moving average (e.g., 60-day or annual) to represent the trend. 2. Shift the moving average left by half its parameter length. 3. Linearly extrapolate the last two points of the shifted moving average. 4. Calculate the deviation (bias) of each price point from the extrapolated moving average. 5. Compute the percentile rank of the deviation over a rolling window to derive the factor value, ranging from 0 to 100 [18][19]. - **Factor Evaluation**: The factor effectively identifies extreme market conditions but requires different thresholds for bear, range-bound, and bull markets to optimize performance [19][21][26]. --- Factor Backtesting Results 1. Temperature Indicator - **Bear Market**: High-frequency and low-frequency indicators below 10 identified rebounds in January, February, and April 2022 [21]. - **Range-Bound Market**: High-frequency indicator below 10 identified rebounds in January and April 2025 [22][25]. - **Bull Market**: High-frequency indicator below 10 or 15 identified five strong buying opportunities in gold futures from 2023 to 2025 [26].
0625:午后大金融爆发,三个大阳线意味着什么?
Sou Hu Cai Jing· 2025-06-25 15:41
Group 1 - The article discusses the recent developments in the A-share market, highlighting a significant upward trend over the past three days, suggesting that recent gains may outweigh efforts made over the previous two months [3][7] - The potential for a third wave rally in the A-share market is identified, with the current phase being a part of a larger upward trend that is expected to exceed the previous wave in both time and space [6] - The article emphasizes the importance of both internal fiscal policies and external monetary policies, with expectations for a potential interest rate cut by the Federal Reserve in September [6][7] Group 2 - Recent comments from several Federal Reserve officials indicate a consensus towards considering interest rate cuts, with some suggesting that action should be taken as early as July [8][9] - The article notes that the market's recent performance may not solely be attributed to geopolitical events but rather to underlying financial dynamics and policy expectations [7] - The Federal Reserve's current interest rate outlook suggests a gradual reduction in rates over the next year, which could diminish the dollar's interest rate advantage [11]