volatility

秒懂歷史波動率(HV)和隱含波動率(IV)的差別

當你要從交易選擇權獲利時,最基本的常識是在高隱含波動率(高IV)的時候賣選擇權,在低IV的時候買選擇權。

但你知道市場波動率存在的意義,以及波動率如何影響期權價格嗎?

我們認為認識市場波動率是選擇權獲利的第一步,我們將深入探討什麼是市場波動率,以及歷史波動率(HV)和隱含波動率(IV)的差別。

什麼是波動率?

波動率代表數據分散程度的統計概念,所以通常用來描述一個股票價格漲跌的幅度,以數學的理論來看,波動率等於是統計數據的偏差值。

用Thinkorswim分析個股的選擇權時,會看到幾個不同的市場波動率數據,其中最重要的就是歷史波動率(HV)和隱含波動率(IV)。

HV和IV有什麼不一樣?

HV是用過去股價波動的標準差計算的波動率,而IV是個向前看的預測波動指標。

如何計算歷史波動率(HV)?

如果你像我一樣已經離開高中很久了,我們來一步步的重溫高中數學並計算一個股票的波動率。

我們參考最近BABA一系列的收盤價來計算股價的波動率,使用歷史資料計算的波動率通常稱為歷史波動率(HV)。

首先用最近10個交易日的BABA收盤價計算每天價格變化的百分比。

交易日收盤價當日價格變化
10/4139.63
10/5143.142.5%
10/6144.100.7%
10/7156.008.3%
10/8161.523.5%
10/11163.951.5%
10/12163.00-0.6%
10/13167.402.7%
10/14166.78-0.4%
10/15168.000.7%

我們將這10天價格變化的標準差計算出來為2.54%。

因為每年約有252個交易日,所以我們把2.54%的標準差修正為年的標準差40.3%,就等於HV。

annual standard deviation as hv

我們可以用我們計算的HV數據對照Thinkorswim分析出來的HV數據。

baba options statistics
用Thinkorswim分析選擇權數據時會列出每個股票的波動率。

用HV Percentile的公式我們看到我們計算的HV和Thinkorswim的數據是很接近的。

hv percentile calculations

如果我們把熟悉的常態分佈圖找出來,我們知道一個隨機的數據有50%會在平均值的左邊,有50%會出現在平均值的右邊。

normal distribution and standard deviations
標準差在常態分布中定義數據位置的機率。

在平均值左右一個標準差(σ)的範圍會涵蓋68%的數據,而數據會落在+/-2σ的機率是95%。

以現在BABA價格是$158.73,HV是40%,我們有把握接下來一年內BABA收盤價有68%的機率會落在$95.24和$222.22之間。

只要過去BABA的股價波動的標準差變大,HV就會變高,表示較高的波動率。

反之如果BABA的股價標準差變小,HV就會變低,表示波動率變小。

隱含波動率(IV)如何影響選擇權價格?

選擇權價格是隱含波動率(IV)的函數,而IV是市場對股價未來波動性的看法,是用選擇權定價模型回推IV的數據。

我們都知道選擇權是一個在合約價買賣股票的權利,這個權利的價值會跟金流以及股息、利息的機會成本有關。

世界知名的Black-Scholes model是受諾貝爾經濟學獎肯定的選擇權定價模型,它以一個對數常態分佈(log-normal)來看待選擇權價格,因為價格不會小於0,而且有價格越大出現的機率越接近0的長尾效益。

log normal distribution
對數常態分布數值不會小於0,數值越大機率越接近0。

Call和Put選擇權價格的計算方式如下:

black-scholes options price
  • σ = IV
  • δ = 股息
  • S = 股價
  • K = 合約價
  • r = 無風險利率
  • T = 距離截止的時間(年)
  • N = 常態分布
  • N(d1) = 期權在價內截止時現金和股票流動的期待值
  • N(d2) = 期權在價內截止的機率

我們用AAPL股價為例計算價平$150、39天後截止的Call,並使用Thinkorswim的期權鏈來驗證我們的計算。

  • σ = 22.38%
  • S = $151.28
  • K = $150
  • r = 0.04%
  • T = 39/365 = 0.106849
  • d1 = 0.153314
  • d2 = 0.080158
  • N(d1) = 0.56
  • N(d2) = 0.53
  • C(39) = $5.05
aapl option chain bid ask IV
11/8開盤前的AAPL期權鏈。

你可能會注意,我們計算出來的Call價格$5.05是在買進價(bid)$4.90和賣出價(ask)$5.15之間。

可是到底是先有Call選擇權價格還是先有IV?

事實上在股票市場的莊家(Market Maker)會蒐集所有交易平台,例如德美利證劵、第一證劵、盈透證劵、Robinhood等的交易訂單,再根據Put和Call的供需訂定出價平的期權價格。

在訂定出價平的期權價格後,就可以用Black-Scholes模型推算出隱含波動率,從AAPL的例子來看,針對不同的IV數據,可以反覆推算出不同的Call價格。

IVCall價格
10%2.67
30%6.56
50%10.47
70%14.37
90%18.27

我們看到以$5.05的Call價值,IV應該在10%-30%之間。

IV interpolation
用10%和30%的IV以及Call價格推算出正確的IV是22.30%。

我們再用$5.05推算出現在正確的IV為22.30%,也就是市場對股價未來波動的預測。

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SymbolIVIV PercIV RankTotal Options VolumeCall Options VolumePut Options VolumeOpen InterestDays To/Since EarningsEarnings Date
AA57%39%33%9,9775,9584,019138,27952026-10-152026-12-182026-10-10
AAL45%19%3%92,57851,09541,4831,373,303122026-10-222026-12-182026-10-10
AAOI90%8%5%90,03058,05331,977277,989262026-11-052026-12-182026-10-10
AAPL21%13%0%1,737,2121,064,655672,5574,188,229232026-11-022026-12-182026-10-10
ABBV28%40%9%17,77912,6515,128205,730202026-10-302026-12-182026-10-10
ABNB38%42%29%9,7593,7186,04182,885262026-11-052026-12-182026-10-10
ABT32%78%1%6,0702,5593,511115,697112026-10-212026-12-182026-10-10
ABVX66%16%99%7,6925,2362,45674,341652026-12-142026-12-182026-10-10
ACN46%45%2%10,6635,9694,694136,915682026-12-172026-12-182026-10-10
ADBE37%26%26%37,48420,31817,166419,865602026-12-092026-12-182026-10-10
ADI35%17%22%12,1776,7875,39052,672522026-12-012026-12-182026-10-10
ADM24%5%89%1,42278264034,955242026-11-032026-12-182026-10-10
AEHR93%6%21%8,0364,6643,37261,784-12026-10-092026-12-182026-10-10
AEM39%9%14%3,2541,8521,40255,759182026-10-282026-12-182026-10-10
AFRM56%12%14%30,18716,73913,448163,841262026-11-052026-12-182026-10-10
AG51%1%11%27,51819,0708,448501,324262026-11-052026-12-182026-10-10
AGI34%1%3%2,1201,15896255,186182026-10-282026-12-182026-10-10
AI71%52%26%208,014196,72311,291233,523602026-12-092026-12-182026-10-10
AKAM56%45%31%22,84317,9794,864135,845262026-11-052026-12-182026-10-10
ALAB78%8%17%42,66724,34018,327129,205242026-11-032026-12-182026-10-10
ALB51%12%16%5,8573,5392,31870,642252026-11-042026-12-182026-10-10
ALK56%35%92%1,5601,22233838,606102026-10-202026-12-182026-10-10
ALLY29%26%0%1,11039072033,835102026-10-202026-12-182026-10-10
AMAT55%42%16%32,38513,54418,841283,183332026-11-122026-12-182026-10-10
AMBA67%23%66%10,5977,3963,20140,577522026-12-012026-12-182026-10-10
AMD42%2%11%687,265385,421301,8442,055,837242026-11-032026-12-182026-10-10
AMGN25%15%18%6,2373,8802,35746,228242026-11-032026-12-182026-10-10
AMKR72%38%15%5,7853,0612,72479,678162026-10-262026-12-182026-10-10
AMT34%71%54%8,3605,5112,84934,276172026-10-272026-12-182026-10-10
AMZN26%12%39%1,293,474924,666368,8084,363,324192026-10-292026-12-182026-10-10
ANET45%9%13%25,34115,09110,250183,899242026-11-032026-12-182026-10-10
APA40%10%17%6,0183,1662,85297,376252026-11-042026-12-182026-10-10
APH30%1%0%5,6131,7043,909189,667182026-10-282026-12-182026-10-10
APO43%38%35%11,0829,5001,582103,870242026-11-032026-12-182026-10-10
APP55%15%13%42,39617,13525,261209,720252026-11-042026-12-182026-10-10
APPS84%29%36%3,4122,3921,02057,128322026-11-112026-12-182026-10-10
ARCC47%86%64%1,8146261,18857,318172026-10-272026-12-182026-10-10
ARM62%34%27%76,90341,37235,531504,686252026-11-042026-12-182026-10-10
AS55%40%25%40,32939,92840189,705452026-11-242026-12-182026-10-10
ASML48%47%35%20,32211,1919,13163,56742026-10-142026-12-182026-10-10
ASST73%6%91%29,38715,88013,507981,734342026-11-132026-12-182026-10-10
ASX62%30%88%5,6871,4844,20364,968122026-10-222026-12-182026-10-10
AVAV55%6%12%5,5883,3432,24531,014592026-12-082026-12-182026-10-10
AVGO32%2%4%291,741174,593117,1481,899,054612026-12-102026-12-182026-10-10
AXP30%53%38%13,3917,5005,891108,432132026-10-232026-12-182026-10-10
AXTI105%4%0%46,94120,75826,183170,994192026-10-292026-12-182026-10-10
AZN19%3%93%1,7951,37142452,262202026-10-302026-12-182026-10-10
B43%17%99%16,81510,5906,225462,304192026-10-292026-12-182026-10-10
BA37%73%71%95,05567,11127,944718,405172026-10-272026-12-182026-10-10
BABA36%6%17%204,230141,65062,5801,635,977522026-12-012026-12-182026-10-10
BAC32%84%0%200,258147,85352,4051,866,13242026-10-142026-12-182026-10-10
BBY39%33%100%2,3896011,78827,991452026-11-242026-12-182026-10-10
BE74%1%5%140,09877,96162,137684,769192026-10-292026-12-182026-10-10
BEKE75%73%48%64,82533,74331,08283,183312026-11-102026-12-182026-10-10
BHF146%92%33%2,9081,5201,38847,317322026-11-112026-12-182026-10-10
BHP29%10%13%1,6114181,19374,3371362027-02-232026-12-182026-10-10
BHVN130%67%18%162161126,991382026-11-172026-12-182026-10-10
BIDU38%6%14%22,73912,7569,983221,674452026-11-242026-12-182026-10-10
BKNG46%75%46%9,7144,4355,279142,423242026-11-032026-12-182026-10-10
BMY36%81%90%33,68420,52713,157520,073192026-10-292026-12-182026-10-10
BN40%59%2%6,4614715,99041,633332026-11-122026-12-182026-10-10
BNY42%88%2%7,9012,2715,63034,74752026-10-152026-12-182026-10-10
BP33%59%14%42,00628,05913,947240,584242026-11-032026-12-182026-10-10
BRK-B13%13%13%49,78031,31118,469329,7742026-12-182026-10-10
BSX42%71%37%13,4736,6836,790407,196182026-10-282026-12-182026-10-10
BTU58%21%21%2,0408631,17730,477192026-10-292026-12-182026-10-10
BX43%50%38%15,8227,4938,329200,746122026-10-222026-12-182026-10-10
C32%48%3%36,98924,66212,327534,89532026-10-132026-12-182026-10-10
CAG27%8%45%8,6055,2333,37283,071832027-01-012026-12-182026-10-10
CARR39%29%26%2,4481,79065833,119122026-10-222026-12-182026-10-10
CART40%15%9%2,5551,91264330,965382026-11-172026-12-182026-10-10
CAT41%58%35%20,05810,0769,982117,747252026-11-042026-12-182026-10-10
CAVA54%20%17%8,1223,7324,39076,225312026-11-102026-12-182026-10-10
CCI30%29%29%12,5149,0643,45048,806112026-10-212026-12-182026-10-10
CCJ48%14%11%11,8706,4125,458332,361202026-10-302026-12-182026-10-10
CCL34%3%0%24,27319,0135,260650,803692026-12-182026-12-182026-10-10
CCXI104%41%34%1,6741,01765757,6852026-12-182026-10-10
CDE56%3%4%12,93311,0491,884255,730322026-11-112026-12-182026-10-10
CEG47%25%3%19,56513,1846,381146,779302026-11-092026-12-182026-10-10
CELH53%23%17%21,97416,1565,818340,141262026-11-052026-12-182026-10-10
CF45%35%26%6,0723,9342,13842,513252026-11-042026-12-182026-10-10
CHTR65%71%4%14,4398,1956,24475,136272026-11-062026-12-182026-10-10
CHWY39%6%15%9,0926,5322,560139,601542026-12-032026-12-182026-10-10
CHYM83%46%100%1,5961,26133531,978322026-11-112026-12-182026-10-10
CI36%55%3%2,1671,38778031,380262026-11-052026-12-182026-10-10
CIEN60%7%100%14,5477,9986,54955,463612026-12-102026-12-182026-10-10
CIFR92%6%17%106,80078,82727,9731,394,468322026-11-112026-12-182026-10-10
CLF67%43%0%82,19650,97631,220612,15292026-10-192026-12-182026-10-10
CLS66%9%16%8,4885,4353,05359,935162026-10-262026-12-182026-10-10
CLSK80%14%20%29,22622,0287,198521,233672026-12-162026-12-182026-10-10
CMCSA45%81%3%28,95019,0289,922669,597122026-10-222026-12-182026-10-10
CMG43%65%3%75,04850,87924,169730,630182026-10-282026-12-182026-10-10
CNC50%40%0%13,1249,2173,90793,778172026-10-272026-12-182026-10-10
CNQ30%22%18%1,9291,06186841,783262026-11-052026-12-182026-10-10
CODI76%29%77%5985953109,293252026-11-042026-12-182026-10-10
COF35%47%42%7,0165,0401,97675,366102026-10-202026-12-182026-10-10
COHR71%14%17%34,19018,42515,765186,500322026-11-112026-12-182026-10-10
COIN58%12%24%267,901156,353111,548738,046192026-10-292026-12-182026-10-10
COP32%33%0%8,8147,0131,801125,100262026-11-052026-12-182026-10-10
COPX43%18%48%5,4602,9842,476152,0912026-12-182026-10-10
CORZ68%3%9%36,11027,6908,420687,118322026-11-112026-12-182026-10-10
COST17%3%13%24,99013,69011,300161,062612026-12-102026-12-182026-10-10
CPB33%32%100%5,3854,2421,14372,998602026-12-092026-12-182026-10-10
CPNG83%96%86%12,57610,0002,576342,468312026-11-102026-12-182026-10-10
CPRI23%1%13%1,55190864337,554262026-11-052026-12-182026-10-10
CPRT39%28%0%8,6697,94172847,227392026-11-182026-12-182026-10-10
CRCL70%9%13%132,53284,55047,982574,825252026-11-042026-12-182026-10-10
CRDO78%9%13%26,59718,5298,068180,581532026-12-022026-12-182026-10-10
CRK33%1%87%1,4291,31711229,324252026-11-042026-12-182026-10-10
CRM35%17%22%33,21818,10215,116409,313592026-12-082026-12-182026-10-10
CRWD52%51%36%104,11559,98444,131519,263522026-12-012026-12-182026-10-10
CRWV65%0%0%291,724124,482167,2422,240,743372026-11-162026-12-182026-10-10
CSCO32%52%97%87,59969,40418,195520,666392026-11-182026-12-182026-10-10
CSX30%57%96%1,47686261438,280112026-10-212026-12-182026-10-10
CTSH51%71%4%1,6986411,05727,456192026-10-292026-12-182026-10-10
CVE49%65%56%79354624748,290252026-11-042026-12-182026-10-10
CVNA65%33%23%37,21321,56115,652371,427182026-10-282026-12-182026-10-10
CVS36%66%60%17,7439,2068,537172,074252026-11-042026-12-182026-10-10
CVX26%29%99%41,24427,06014,184372,289202026-10-302026-12-182026-10-10
DAL42%34%100%133,90597,17836,727426,975902027-01-082026-12-182026-10-10
DASH53%44%28%6,5454,3482,19771,874252026-11-042026-12-182026-10-10
DDOG51%20%21%17,37610,0167,36093,354262026-11-052026-12-182026-10-10
DECK50%63%26%4,3142,7221,59227,583122026-10-222026-12-182026-10-10
DELL55%37%27%172,09186,82885,263333,673522026-12-012026-12-182026-10-10
DG38%34%26%3,9151,6882,22727,706542026-12-032026-12-182026-10-10
DHR42%83%0%3,0251,8371,18837,775112026-10-212026-12-182026-10-10
DHT70%80%35%6,7544,2712,483108,208252026-11-042026-12-182026-10-10
DIA13%33%21%72,93542,45330,482266,5092026-12-182026-10-10
DINO58%74%36%5,0413,9731,06829,680182026-10-282026-12-182026-10-10
DIS31%75%99%23,41816,9406,478472,194332026-11-122026-12-182026-10-10
DKNG57%42%1%58,12848,06510,063617,903202026-10-302026-12-182026-10-10
DKS46%46%14%3,3061,8371,46956,194452026-11-242026-12-182026-10-10
DLO102%81%3%3,5723,388184115,887392026-11-182026-12-182026-10-10
DNA154%92%2%2,6742,20846638,066372026-11-162026-12-182026-10-10
DOCN70%20%4%5,9912,3483,64335,838302026-11-092026-12-182026-10-10
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PYPL40%58%35%51,83945,1936,646832,118172026-10-272026-12-182026-10-10
PZZA35%2%0%2,9262,59433227,176262026-11-052026-12-182026-10-10
QCOM48%63%47%72,15237,81234,340705,976322026-11-112026-12-182026-10-10
QURE89%13%99%2,9301,7581,17247,628312026-11-102026-12-182026-10-10
QXO57%20%0%41,9117,72134,190345,315382026-11-172026-12-182026-10-10
RARE133%87%78%3,5571,1772,38068,357252026-11-042026-12-182026-10-10
RBLX79%76%38%47,63233,59314,039251,971192026-10-292026-12-182026-10-10
RCL42%23%24%9,1112,0917,02050,269242026-11-032026-12-182026-10-10
RDDT55%6%9%57,78939,82117,968355,201252026-11-042026-12-182026-10-10
RGTI68%5%9%28,06620,4197,647409,320372026-11-162026-12-182026-10-10
RIO28%18%17%1,7054451,26037,2341372027-02-242026-12-182026-10-10
RIOT60%0%0%47,83131,03516,796762,836312026-11-102026-12-182026-10-10
RIVN49%4%9%98,79670,95627,8401,314,320192026-10-292026-12-182026-10-10
RKLB61%2%4%128,91883,80445,1141,010,020372026-11-162026-12-182026-10-10
RKT58%23%29%58,45531,75526,700867,810192026-10-292026-12-182026-10-10
RTX34%77%100%8,4515,0723,379119,567102026-10-202026-12-182026-10-10
S56%35%43%20,29313,9656,328167,252592026-12-082026-12-182026-10-10
SAIL126%75%48%4,5164,30820827,657662026-12-152026-12-182026-10-10
SAP55%80%95%2,7101,1201,59027,530112026-10-212026-12-182026-10-10
SBUX32%52%24%38,29724,14314,154331,176192026-10-292026-12-182026-10-10
SCHW33%80%100%10,5206,1884,332232,38752026-10-152026-12-182026-10-10
SDGR82%23%39%2,9492,75319636,195322026-11-112026-12-182026-10-10
SE43%9%13%5,4463,0152,43178,299382026-11-172026-12-182026-10-10
SECZ103%6%22%3,6952,88281350,045342026-11-132026-12-182026-10-10
SEDG83%13%18%6,6711,9994,67261,035322026-11-112026-12-182026-10-10
SFM79%86%3%1,67476690829,178182026-10-282026-12-182026-10-10
SHAZ75%0%0%4,0583,51054848,275252026-11-042026-12-182026-10-10
SHEL27%52%1%5,8704,7531,11774,197192026-10-292026-12-182026-10-10
SHOP55%35%24%47,40324,10623,297377,761242026-11-032026-12-182026-10-10
SIRI42%63%0%75,05873,9521,106144,088192026-10-292026-12-182026-10-10
SKHY49%0%0%100,36253,92946,433768,620172026-10-272026-12-182026-10-10
SKM45%7%100%7,6187,14946965,829322026-11-112026-12-182026-10-10
SLB32%12%29%7,2024,3632,839308,065132026-10-232026-12-182026-10-10
SLS113%4%9%47,98239,0198,963555,020392026-11-182026-12-182026-10-10
SLV28%0%3%305,466227,30678,1603,792,4792026-12-182026-10-10
SMCI64%10%17%322,404261,39761,0071,451,027242026-11-032026-12-182026-10-10
SMTC85%48%1%4,1461,6352,51129,617532026-12-022026-12-182026-10-10
SNOW47%22%17%106,86367,81239,051289,291532026-12-022026-12-182026-10-10
SO24%74%96%5,9194,3921,52732,874262026-11-052026-12-182026-10-10
SOFI46%10%15%389,120295,75393,3673,605,050172026-10-272026-12-182026-10-10
SONY37%47%2%15,14713,6611,486119,060312026-11-102026-12-182026-10-10
SPCX48%19%5%1,434,610906,231528,3794,276,449262026-11-052026-12-182026-10-10
SPOT61%88%55%5,8793,2122,66745,908122026-10-222026-12-182026-10-10
SPXU17%1%100%1,86295291010,5932026-12-182026-10-10
SRPT74%17%6%2,6222,08254030,129252026-11-042026-12-182026-10-10
STX60%5%11%41,61919,92021,699149,503182026-10-282026-12-182026-10-10
STZ32%24%79%7,5934,6812,91238,577892027-01-072026-12-182026-10-10
SU37%56%68%3,0362,0261,01074,398322026-11-112026-12-182026-10-10
SWKS54%50%20%5,1171,2243,89333,839192026-10-292026-12-182026-10-10
SYM55%2%4%7,3675,9001,46729,640442026-11-232026-12-182026-10-10
T37%89%93%284,056183,199100,857931,543112026-10-212026-12-182026-10-10
TBIL10%42%0%30302026-12-182026-10-10
TBT36%87%100%4171842338,3652026-12-182026-10-10
TCOM42%18%56%7,6522,4575,19530,917442026-11-232026-12-182026-10-10
TEAM64%30%26%11,4187,1024,31656,355262026-11-052026-12-182026-10-10
TEM70%22%82%37,58725,86611,721300,961312026-11-102026-12-182026-10-10
TEVA29%4%2%13,60611,7311,875128,891242026-11-032026-12-182026-10-10
TFC43%75%27%2,5267761,75040,26262026-10-162026-12-182026-10-10
TGT30%11%10%12,3875,2247,163154,949392026-11-182026-12-182026-10-10
THD41%49%97%10102026-12-182026-10-10
TJX22%26%0%3,5962,2361,36064,886392026-11-182026-12-182026-10-10
TLN55%9%11%7,6754,0793,59638,580392026-11-182026-12-182026-10-10
TLT10%28%100%1,134,662898,609236,05311,281,5822026-12-182026-10-10
TMUS40%85%5%81,65746,74634,911185,235182026-10-282026-12-182026-10-10
TOST56%58%33%14,3139,5264,78794,017312026-11-102026-12-182026-10-10
TSCO51%84%98%8,1136,7121,40165,024122026-10-222026-12-182026-10-10
TSLA39%11%19%3,861,7672,377,3201,484,4474,343,507112026-10-212026-12-182026-10-10
TSM34%22%100%122,43268,11554,3171,424,44552026-10-152026-12-182026-10-10
TTD58%32%95%27,38721,2456,142573,155262026-11-052026-12-182026-10-10
TTWO38%27%26%12,2737,1295,144196,010262026-11-052026-12-182026-10-10
TWLO63%56%37%10,3344,3365,99829,257192026-10-292026-12-182026-10-10
TXN46%68%98%21,49513,1518,344100,488112026-10-212026-12-182026-10-10
UAL46%24%23%35,25625,09610,160173,462102026-10-202026-12-182026-10-10
UBER33%22%25%142,63093,88648,7441,235,628252026-11-042026-12-182026-10-10
UNH48%92%8%88,85248,54840,304679,12532026-10-132026-12-182026-10-10
UNL109%60%99%1010002026-12-182026-10-10
UNM31%48%97%1,04994910092,322242026-11-032026-12-182026-10-10
UNP28%50%2%2,0351,36966635,094122026-10-222026-12-182026-10-10
UPS31%51%25%20,01614,0525,964254,555172026-10-272026-12-182026-10-10
UPST66%17%15%14,6307,6197,011142,766242026-11-032026-12-182026-10-10
URA37%0%99%7,7662,2155,551190,7672026-12-182026-10-10
USAR74%6%10%39,16521,78917,376343,715262026-11-052026-12-182026-10-10
USB33%78%19%4,4142,9931,42187,59552026-10-152026-12-182026-10-10
USO44%39%2%178,81590,75388,0621,043,4322026-12-182026-10-10
UUP32%90%98%2842206417,0282026-12-182026-10-10
V23%44%48%37,75324,35913,394267,651242026-11-032026-12-182026-10-10
VALE42%57%0%20,7918,83711,954741,562192026-10-292026-12-182026-10-10
VG59%8%2%11,1024,2136,889287,597372026-11-162026-12-182026-10-10
VIAV70%39%0%1,3681,23113744,975192026-10-292026-12-182026-10-10
VICI69%85%100%2,8131,7861,02740,345182026-10-282026-12-182026-10-10
VLO49%72%50%18,5688,34910,21993,963122026-10-222026-12-182026-10-10
VNM79%85%100%11002026-12-182026-10-10
VRT60%27%26%27,75913,06514,694304,655182026-10-282026-12-182026-10-10
VSAT82%33%17%3,8673,324543128,096322026-11-112026-12-182026-10-10
VSH98%48%36%2,7085962,11238,226252026-11-042026-12-182026-10-10
VST47%20%20%62,28445,90516,379376,473272026-11-062026-12-182026-10-10
VZ32%88%99%270,050144,892125,158861,742162026-10-262026-12-182026-10-10
W64%25%18%4,3241,7132,61134,680252026-11-042026-12-182026-10-10
WDAY53%38%35%6,8063,7713,03543,588522026-12-012026-12-182026-10-10
WDC59%3%8%97,83653,57644,260323,460122026-10-222026-12-182026-10-10
WFC34%77%56%80,47855,59324,885886,44732026-10-132026-12-182026-10-10
WHR46%22%31%6,1133,3102,80386,13752026-10-152026-12-182026-10-10
WMB32%63%54%231,210230,456754240,673232026-11-022026-12-182026-10-10
WMT22%16%0%109,45162,15847,2931,147,106402026-11-192026-12-182026-10-10
WOLF95%13%95%12,9029,2413,661214,295182026-10-282026-12-182026-10-10
WPM46%21%20%2,9531,3431,61045,971262026-11-052026-12-182026-10-10
WRBY76%28%16%7,4676,61984830,973262026-11-052026-12-182026-10-10
WULF70%2%8%78,50455,25823,2461,953,862372026-11-162026-12-182026-10-10
WY58%97%69%2,3921,88251043,934192026-10-292026-12-182026-10-10
WYNN41%38%26%15,36811,4203,94888,768262026-11-052026-12-182026-10-10
XBI32%45%40%31,69015,22116,469309,4252026-12-182026-10-10
XE79%10%15%4,3703,2741,09654,833532026-12-022026-12-182026-10-10
XEL21%7%30%1,9513581,59367,891192026-10-292026-12-182026-10-10
XHB28%4%94%4,9087014,20734,7732026-12-182026-10-10
XLB19%19%0%3,7971,5192,27894,1052026-12-182026-10-10
XLE27%60%0%130,08770,66259,4251,982,2272026-12-182026-10-10
XLF20%72%46%155,163115,49839,6653,609,8772026-12-182026-10-10
XLI19%35%0%15,5966,8658,731308,7602026-12-182026-10-10
XLK22%10%21%19,5428,25911,283236,1032026-12-182026-10-10
XLP13%10%16%25,9085,67720,231239,2132026-12-182026-10-10
XLU16%21%29%128,06786,24241,8251,520,2722026-12-182026-10-10
XLV19%60%52%10,3005,4924,808199,6222026-12-182026-10-10
XLY23%32%45%3,5321,0682,46499,7422026-12-182026-10-10
XME36%19%13%4083218711,4892026-12-182026-10-10
XOM27%31%29%66,25645,60020,656756,651132026-10-232026-12-182026-10-10
XOP36%51%37%7,3654,3103,05593,0692026-12-182026-10-10
XPER1010002026-12-182026-10-10
XRT26%21%100%3,0431,8171,22646,7322026-12-182026-10-10
XYZ47%38%23%24,21219,5964,616292,744242026-11-032026-12-182026-10-10
Z82%84%99%2,4462,12232432,817252026-11-042026-12-182026-10-10
ZETA62%17%16%26,28720,7995,488202,267312026-11-102026-12-182026-10-10
ZIM38%5%13%2,8141,88592948,479392026-11-182026-12-182026-10-10
ZM39%25%23%12,5659,8692,696153,556442026-11-232026-12-182026-10-10
ZS54%27%100%36,36623,45212,914160,161522026-12-012026-12-182026-10-10
ZTS33%20%100%3,6762,4251,251108,815262026-11-052026-12-182026-10-10

開箱斜槓投資達人擊敗標普500指數450%的完整交易策略

在〈秒懂歷史波動率(HV)和隱含波動率(IV)的差別〉中有 5 則留言

  1. 剛才發現選擇權分析器真的可以快速找到高IV的股票清單
    這樣我就可以找到更多的Iron Condor交易機會了
    謝謝

    1. HV和IV雖然都是分析波動的數據
      一個是過去的標準差
      一個是預估的未來標準差

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擊敗標普500指數450%的完整交易策略
擊敗標普500指數450%的完整交易策略