volatility

秒懂歷史波動率(HV)和隱含波動率(IV)的差別

最近更新日期： 2025/09/29

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
AA71%78%56%12,4987,3915,107120,387152026-07-162026-09-182026-07-01
AAL65%87%7%69,94232,17437,7681,585,660152026-07-162026-09-182026-07-01
AAOI128%52%33%42,95332,22910,724179,936292026-07-302026-09-182026-07-01
AAP69%63%29%8,9347,99494073,113552026-08-252026-09-182026-07-01
AAPL22%20%1%1,027,795688,604339,1913,763,878292026-07-302026-09-182026-07-01
ABBV26%40%9%17,15110,8386,313155,011302026-07-312026-09-182026-07-01
ABNB37%47%29%9,0915,3333,75882,902422026-08-122026-09-182026-07-01
ABT30%77%0%6,4743,4912,983116,737152026-07-162026-09-182026-07-01
ACN48%72%2%9,6496,2923,357123,202922026-10-012026-09-182026-07-01
ADBE51%83%45%49,69738,64611,051354,642712026-09-102026-09-182026-07-01
ADEA122%68%99%4,5934,12347035,965412026-08-112026-09-182026-07-01
ADI52%85%63%11,4635,6625,80132,365562026-08-262026-09-182026-07-01
AEM55%82%53%5,1973,3521,84533,792282026-07-292026-09-182026-07-01
AFRM64%32%24%10,9115,7015,210119,764502026-08-202026-09-182026-07-01
AGI58%72%0%6,9461,2035,74344,599282026-07-292026-09-182026-07-01
AGNC-7306%0%0%23,25314,1019,152293,185192026-07-202026-09-182026-07-01
AKAM67%77%0%8,1475,3092,83855,171412026-08-112026-09-182026-07-01
ALAB114%86%67%46,98421,87525,109119,956412026-08-112026-09-182026-07-01
ALB67%63%47%9,4154,8744,54194,224352026-08-052026-09-182026-07-01
ALK74%81%4%7,0403,4443,59671,039152026-07-162026-09-182026-07-01
ALLY30%24%7%74964610325,779202026-07-212026-09-182026-07-01
AMAT91%99%0%86,69048,32338,367220,488432026-08-132026-09-182026-07-01
AMD77%94%94%483,221286,461196,7601,889,923342026-08-042026-09-182026-07-01
AMGN24%23%20%2,7271,5211,20651,467292026-07-302026-09-182026-07-01
AMKR102%87%35%5,2453,9641,28170,054332026-08-032026-09-182026-07-01
AMPX88%8%97%14,33811,5622,776191,742362026-08-062026-09-182026-07-01
AMT28%35%99%2,9821,4141,56828,011222026-07-232026-09-182026-07-01
AMZN35%66%32%649,294455,351193,9433,904,110292026-07-302026-09-182026-07-01
ANET54%47%29%36,79614,47022,326206,900332026-08-032026-09-182026-07-01
APA49%43%2%4,4031,3423,06151,272352026-08-052026-09-182026-07-01
APH55%78%3%23,26410,93112,33394,360282026-07-292026-09-182026-07-01
APLD100%20%30%62,19640,79621,400477,199502026-08-202026-09-182026-07-01
APO67%98%80%7,8956,5951,30034,838342026-08-042026-09-182026-07-01
APP74%57%33%22,77016,7925,978104,004422026-08-122026-09-182026-07-01
APPS86%0%0%4,4243,84158342,916422026-08-122026-09-182026-07-01
AR44%41%23%4,3092,0042,30547,585282026-07-292026-09-182026-07-01
ARCC33%52%49%4,5023,727775119,198272026-07-282026-09-182026-07-01
ARM97%87%63%56,20831,58824,620296,924282026-07-292026-09-182026-07-01
AS69%71%25%3,5073,34915856,354552026-08-252026-09-182026-07-01
ASML63%96%67%31,54018,69212,84870,855142026-07-152026-09-182026-07-01
ASST163%96%93%14,40411,4352,969326,634632026-09-022026-09-182026-07-01
ASTS106%50%44%177,968126,06951,899978,365472026-08-172026-09-182026-07-01
ASX97%66%88%8,3096,7021,60765,334222026-07-232026-09-182026-07-01
AVAV91%84%99%49,88127,85022,03148,862702026-09-092026-09-182026-07-01
AVGO47%52%28%169,961109,81260,1491,477,347642026-09-032026-09-182026-07-01
AXP30%51%37%8,8374,9683,86994,231232026-07-242026-09-182026-07-01
AXTI167%48%0%16,75511,1535,602112,929292026-07-302026-09-182026-07-01
B46%46%46%14,4588,0836,375320,368402026-08-102026-09-182026-07-01
BA33%51%61%35,14823,81611,332478,095282026-07-292026-09-182026-07-01
BABA42%38%35%128,01295,75932,2531,415,597582026-08-282026-09-182026-07-01
BAC17%2%87%129,42986,15743,2721,341,438132026-07-142026-09-182026-07-01
BAX53%57%33%2,8002,57922128,905222026-07-232026-09-182026-07-01
BB109%43%36%115,24797,75817,489643,356852026-09-242026-09-182026-07-01
BBY31%7%100%3,1631,9081,25528,766622026-09-012026-09-182026-07-01
BCRX99%50%100%5,7645,46529971,366292026-07-302026-09-182026-07-01
BE125%73%51%114,24166,61747,624573,716292026-07-302026-09-182026-07-01
BIDU59%83%56%25,60019,8375,763154,939562026-08-262026-09-182026-07-01
BKNG45%82%49%72,29766,5065,791174,497352026-08-052026-09-182026-07-01
BKR59%83%98%1,4661,3769032,030252026-07-262026-09-182026-07-01
BKSY146%71%42%1,11092318727,066422026-08-122026-09-182026-07-01
BMY29%34%29%67,62562,6664,959343,463292026-07-302026-09-182026-07-01
BNY33%41%0%3782839525,177142026-07-152026-09-182026-07-01
BP38%88%10%7,1944,1593,035223,884342026-08-042026-09-182026-07-01
BRK-B20%90%77%22,6359,15413,481299,5372026-09-182026-07-01
BROS47%15%99%2,4631,3681,09527,094422026-08-122026-09-182026-07-01
BSX40%82%43%23,49914,3189,181611,285282026-07-292026-09-182026-07-01
BTDR140%81%1%9,0955,9203,175641,487372026-08-072026-09-182026-07-01
BTI36%29%92%6,0465,30274452,792292026-07-302026-09-182026-07-01
BTU69%57%37%6,7274,3862,34137,536292026-07-302026-09-182026-07-01
BX46%72%95%15,22011,3703,850184,685222026-07-232026-09-182026-07-01
C31%51%0%97,93942,83955,100518,445132026-07-142026-09-182026-07-01
CAG39%67%46%9,1504,2874,863130,279142026-07-152026-09-182026-07-01
CAR86%84%15%9,2442,8366,40845,761342026-08-042026-09-182026-07-01
CARR49%79%38%5,2384,78245628,109222026-07-232026-09-182026-07-01
CART48%40%17%6,8643,5003,36444,422422026-08-122026-09-182026-07-01
CAT41%73%56%34,29017,11517,175122,781342026-08-042026-09-182026-07-01
CAVA66%69%33%4,0422,7441,29842,405482026-08-182026-09-182026-07-01
CCJ53%37%23%31,3668,38322,983207,093302026-07-312026-09-182026-07-01
CCL50%57%0%31,48116,23415,247589,034782026-09-172026-09-182026-07-01
CDE67%9%4%12,5889,8022,786323,105422026-08-122026-09-182026-07-01
CDNS55%76%41%3,0331,2101,82350,210262026-07-272026-09-182026-07-01
CEG48%25%25%21,9309,64512,285129,847292026-07-302026-09-182026-07-01
CELH59%49%24%12,3237,6844,639302,114412026-08-112026-09-182026-07-01
CF64%90%53%9,7548,1871,56726,842352026-08-052026-09-182026-07-01
CG40%23%20%12,22311,696527245,717222026-07-232026-09-182026-07-01
CGON155%87%55%50211239034,475372026-08-072026-09-182026-07-01
CHDN15%0%96%72336435932,741282026-07-292026-09-182026-07-01
CHTR93%96%72%6,9304,1352,79547,048232026-07-242026-09-182026-07-01
CHWY55%62%35%15,27611,0794,197132,476632026-09-022026-09-182026-07-01
CHYM90%49%29%2,6182502,36828,392362026-08-062026-09-182026-07-01
CIFR112%38%29%48,69639,1409,556620,078412026-08-112026-09-182026-07-01
CL22%24%99%9,9679,57539231,062302026-07-312026-09-182026-07-01
CLS85%70%47%10,5827,5723,01059,479262026-07-272026-09-182026-07-01
CLSK104%66%22%55,26938,75216,517474,370412026-08-112026-09-182026-07-01
CLX43%80%100%2,5791,4431,13664,785352026-08-052026-09-182026-07-01
CMCSA53%96%3%110,14993,86516,284757,892222026-07-232026-09-182026-07-01
CMG48%81%4%54,12315,27638,847589,526282026-07-292026-09-182026-07-01
CNC69%88%1%4,9652,8172,14887,821272026-07-282026-09-182026-07-01
CNQ32%40%99%2,9962,11388329,269292026-07-302026-09-182026-07-01
COF38%69%67%5,1104,0171,09358,271202026-07-212026-09-182026-07-01
COHR96%69%57%12,0684,9107,15893,795432026-08-132026-09-182026-07-01
COIN77%84%50%106,53163,75042,781650,551292026-07-302026-09-182026-07-01
COP30%35%27%11,5078,3373,170129,456362026-08-062026-09-182026-07-01
COPX41%29%97%12,3649,9302,434165,6552026-09-182026-07-01
CORZ94%67%1%74,88246,50628,376941,554362026-08-062026-09-182026-07-01
COST24%67%38%32,39516,18516,210141,037852026-09-242026-09-182026-07-01
CPB38%60%100%6,3042,4253,879112,419572026-08-272026-09-182026-07-01
CPNG51%58%100%14,05713,555502246,697412026-08-112026-09-182026-07-01
CPRT71%90%1%3,9672,7691,19831,435702026-09-092026-09-182026-07-01
CRCL91%62%43%192,75096,55996,191538,878482026-08-182026-09-182026-07-01
CRDO106%72%66%25,58317,1098,474108,674702026-09-092026-09-182026-07-01
CRK56%19%21%4,7574,59815930,643342026-08-042026-09-182026-07-01
CRM43%51%96%60,04546,19413,851610,691632026-09-022026-09-182026-07-01
CRWD60%88%46%30,68014,14216,538146,484632026-09-022026-09-182026-07-01
CRWV86%25%21%160,275120,39439,8811,177,580482026-08-182026-09-182026-07-01
CSCO37%79%97%44,07934,2909,789508,117492026-08-192026-09-182026-07-01
CSIQ146%95%77%6,0694,7961,27357,830502026-08-202026-09-182026-07-01
CSX31%59%15%2,8591,7941,06533,824212026-07-222026-09-182026-07-01
CTSH80%97%4%15,27914,47280745,686352026-08-052026-09-182026-07-01
CVE43%43%56%2,2891,0281,26138,460222026-07-232026-09-182026-07-01
CVNA74%61%32%31,05815,39415,664540,966292026-07-302026-09-182026-07-01
CVS29%29%21%11,2888,4692,81989,787352026-08-052026-09-182026-07-01
CVX31%77%30%50,41541,4059,010335,179232026-07-242026-09-182026-07-01
CXW60%60%31%5,7185,04667257,869402026-08-102026-09-182026-07-01
CYTK142%86%97%3,5782,86371529,179292026-07-302026-09-182026-07-01
CZR51%39%0%28,85428,500354180,873342026-08-042026-09-182026-07-01
D27%49%30%3,3662,80955735,283302026-07-312026-09-182026-07-01
DAL48%63%100%14,2727,0067,266198,79292026-07-102026-09-182026-07-01
DASH54%55%30%5,8043,3932,41140,442292026-07-302026-09-182026-07-01
DDOG75%86%48%25,66111,77413,887116,758362026-08-062026-09-182026-07-01
DELL81%92%61%106,70486,04320,661221,471642026-09-032026-09-182026-07-01
DFTX76%22%18%4,0762,7281,34834,014362026-08-062026-09-182026-07-01
DG40%57%29%5,3762,1543,22230,745572026-08-272026-09-182026-07-01
DHR41%79%0%2,3941,2721,12231,160202026-07-212026-09-182026-07-01
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RGTI97%39%27%44,54134,48910,052414,287362026-08-062026-09-182026-07-01
RIO27%22%31%1,95498596940,804282026-07-292026-09-182026-07-01
RIOT86%38%40%44,19527,99916,196469,368292026-07-302026-09-182026-07-01
RIVN67%50%20%139,39378,44760,9461,530,913412026-08-112026-09-182026-07-01
RKLB93%47%43%162,035123,29538,740750,816362026-08-062026-09-182026-07-01
RKT63%37%29%112,42792,60219,825555,491292026-07-302026-09-182026-07-01
ROKU30%4%11%2,9012,06283928,575292026-07-302026-09-182026-07-01
RTX28%51%100%26,23221,7744,45898,049272026-07-282026-09-182026-07-01
RUN87%40%38%15,25610,9324,324330,349352026-08-052026-09-182026-07-01
RVMD50%29%28%7,8737,40147239,947422026-08-122026-09-182026-07-01
S53%37%81%4,4663,1661,300148,596572026-08-272026-09-182026-07-01
SBUX31%38%21%10,0315,2674,764220,517342026-08-042026-09-182026-07-01
SCHW32%66%100%21,83013,6548,176277,480202026-07-212026-09-182026-07-01
SE73%90%58%5,7323,7931,93996,478482026-08-182026-09-182026-07-01
SEDG117%74%48%11,4949,3232,17177,489342026-08-042026-09-182026-07-01
SHEL25%50%0%7,5145,1702,34453,975292026-07-302026-09-182026-07-01
SHOP61%59%35%25,05414,39010,664492,898282026-07-292026-09-182026-07-01
SIRI76%99%98%4,6254,029596129,096292026-07-302026-09-182026-07-01
SKM90%59%100%3,2871,8041,48363,517412026-08-112026-09-182026-07-01
SLB32%10%17%21,85613,6358,221470,585232026-07-242026-09-182026-07-01
SLS231%25%45%68,33443,96124,373704,615362026-08-062026-09-182026-07-01
SLV43%44%0%388,338243,052145,2864,437,3912026-09-182026-07-01
SMCI86%76%45%284,622212,77971,8431,727,368412026-08-112026-09-182026-07-01
SNOW56%56%26%35,89023,53712,353237,049562026-08-262026-09-182026-07-01
SNPS56%67%100%2,9591,4261,53327,067492026-08-192026-09-182026-07-01
SNY41%66%92%1,20783037725,8082026-09-182026-07-01
SO19%34%22%1,31449681824,618292026-07-302026-09-182026-07-01
SOFI51%8%23%268,151196,53371,6183,307,254342026-08-042026-09-182026-07-01
SONY38%51%3%1,9951,743252104,661362026-08-062026-09-182026-07-01
SPCX78%40%5%629,696396,941232,7551,875,761362026-08-062026-09-182026-07-01
SPOT51%61%37%6,1523,1652,98746,746342026-08-042026-09-182026-07-01
SPXU43%34%100%1,8681,4094598,0472026-09-182026-07-01
STRC49%89%94%7,3794,7472,63263,716342026-08-042026-09-182026-07-01
STUB70%5%25%7,4086,459949103,930632026-09-022026-09-182026-07-01
STWD43%77%32%1,8751,72015526,832292026-07-302026-09-182026-07-01
STX100%97%86%24,4738,34716,12662,061152026-07-162026-09-182026-07-01
STZ64%100%100%29,46814,34715,12141,714922026-10-012026-09-182026-07-01
SU34%53%83%3,2642,48478027,407412026-08-112026-09-182026-07-01
SWKS67%86%45%2,6222,01360960,323352026-08-052026-09-182026-07-01
T37%96%93%108,91364,21844,695902,352212026-07-222026-09-182026-07-01
TBIL00002026-09-182026-07-01
TBT7%1%100%6554981575,4222026-09-182026-07-01
TCOM5%1%87%5,2481,5083,74026,815782026-09-172026-09-182026-07-01
TEAM70%49%35%13,8829,2934,58948,484292026-07-302026-09-182026-07-01
TEM74%37%84%25,40817,3848,024284,350362026-08-062026-09-182026-07-01
TENX183%72%1%1,2141,07913524,819482026-08-182026-09-182026-07-01
TER143%99%5%7,1422,5424,60032,617272026-07-282026-09-182026-07-01
TEVA35%16%3%25,17224,367805114,266282026-07-292026-09-182026-07-01
TFC32%53%80%1,9505511,39956,048152026-07-162026-09-182026-07-01
TGT31%15%9%18,46310,4977,966230,660492026-08-192026-09-182026-07-01
THD72%79%94%10102026-09-182026-07-01
TJX25%64%34%4,3103,2821,02843,726492026-08-192026-09-182026-07-01
TLN65%55%34%10,6414,0206,62124,598362026-08-062026-09-182026-07-01
TLT8%5%100%608,257371,371236,8866,685,7202026-09-182026-07-01
TMUS42%94%96%18,29213,6904,602106,847222026-07-232026-09-182026-07-01
TOST44%21%19%11,8558,0253,830181,569412026-08-112026-09-182026-07-01
TRIP59%36%100%3,5312,91661587,214292026-07-302026-09-182026-07-01
TSCO51%89%11%5,6713,1772,49488,452222026-07-232026-09-182026-07-01
TSLA47%64%28%2,218,5121,453,800764,7124,510,332212026-07-222026-09-182026-07-01
TSM55%97%100%178,28187,57190,7101,418,834152026-07-162026-09-182026-07-01
TTD72%66%96%52,87528,79524,080537,223362026-08-062026-09-182026-07-01
TTWO47%73%61%12,2098,2483,961187,545402026-08-102026-09-182026-07-01
TXN75%99%0%20,8438,15212,69199,140212026-07-222026-09-182026-07-01
UAL56%59%42%20,86711,0709,797106,612142026-07-152026-09-182026-07-01
UBER42%71%45%96,91468,86528,049856,105342026-08-042026-09-182026-07-01
UNG53%35%33%22,22618,6223,604207,0872026-09-182026-07-01
UNH36%65%4%35,14824,10211,046568,158152026-07-162026-09-182026-07-01
UNL3131002026-09-182026-07-01
UNM21%15%96%11,95511,54640946,995272026-07-282026-09-182026-07-01
UNP28%62%2%3,0392,06697330,267222026-07-232026-09-182026-07-01
UPS29%38%22%9,1645,1394,025182,447272026-07-282026-09-182026-07-01
UPST74%32%18%26,29918,5247,775170,991412026-08-112026-09-182026-07-01
URA53%32%99%5,1844,219965101,1132026-09-182026-07-01
USAR104%31%22%19,59413,5356,059294,956472026-08-172026-09-182026-07-01
USB33%79%0%3,9601,8472,11383,227152026-07-162026-09-182026-07-01
USO41%57%2%87,68545,92641,7591,008,9272026-09-182026-07-01
UUP21%66%96%1,7091,6327796,3662026-09-182026-07-01
V24%50%54%18,99511,3677,628205,964272026-07-282026-09-182026-07-01
VALE47%74%0%12,5827,2485,334479,836222026-07-232026-09-182026-07-01
VELO187%54%89%5,1454,67846740,676422026-08-122026-09-182026-07-01
VFC62%46%26%4,5333,89563880,764292026-07-302026-09-182026-07-01
VIAV124%95%1%3,6561,6472,00953,078362026-08-062026-09-182026-07-01
VICI40%39%99%1,00754646130,186282026-07-292026-09-182026-07-01
VKTX85%49%23%28,59520,8167,779136,918282026-07-292026-09-182026-07-01
VLO45%77%58%4,9542,6022,35232,497292026-07-302026-09-182026-07-01
VNM40%35%100%13112802026-09-182026-07-01
VRT73%79%55%30,21619,82610,390230,657352026-08-052026-09-182026-07-01
VSAT93%61%20%39,22630,7368,490122,569422026-08-122026-09-182026-07-01
VST56%48%38%16,48411,5804,904257,334362026-08-062026-09-182026-07-01
VZ33%94%99%119,60058,19161,409977,426232026-07-242026-09-182026-07-01
W65%34%20%6,0912,4963,59543,000292026-07-302026-09-182026-07-01
WBD44%70%42%25,2368,22217,0141,387,290292026-07-302026-09-182026-07-01
WDAY63%70%46%5,5803,6201,96041,077502026-08-202026-09-182026-07-01
WDC97%88%78%55,08624,13230,954151,568352026-08-052026-09-182026-07-01
WFC33%74%51%39,79321,29118,502520,438132026-07-142026-09-182026-07-01
WHR52%50%36%5,3982,6562,74264,615262026-07-272026-09-182026-07-01
WMB30%60%99%17,6783,77613,902232,686402026-08-102026-09-182026-07-01
WMT25%46%0%83,80056,77327,027691,459502026-08-202026-09-182026-07-01
WOLF147%55%95%11,3858,6842,701201,863492026-08-192026-09-182026-07-01
WPM53%63%32%3,8932,2371,65625,519362026-08-062026-09-182026-07-01
WRBY116%86%5%2,0041,39660836,130362026-08-062026-09-182026-07-01
WULF108%65%51%102,17781,59920,5781,455,715472026-08-172026-09-182026-07-01
WYNN44%50%34%3,5861,7881,79865,785412026-08-112026-09-182026-07-01
XBI35%78%50%76,17627,11149,065275,7882026-09-182026-07-01
XHB42%78%96%11,6862,8738,81324,7412026-09-182026-07-01
XLB21%44%0%199,384791198,59381,6312026-09-182026-07-01
XLE25%58%7%105,20636,44468,7621,818,8602026-09-182026-07-01
XLF17%49%35%123,31273,81749,4952,868,2652026-09-182026-07-01
XLI25%78%32%11,0053,5027,503182,4862026-09-182026-07-01
XLK37%92%66%42,56112,09330,468267,1922026-09-182026-07-01
XLP17%67%33%23,43217,8625,570200,8582026-09-182026-07-01
XLU16%24%27%12,3335,3157,018393,4992026-09-182026-07-01
XLV17%41%42%22,83114,2078,624222,1762026-09-182026-07-01
XLY30%81%45%6,4111,2185,19392,8292026-09-182026-07-01
XME79%97%57%48434214221,7392026-09-182026-07-01
XOM28%53%0%36,05826,5199,539570,200232026-07-242026-09-182026-07-01
XOP33%48%30%2,3551,0481,30732,5382026-09-182026-07-01
XPER00002026-09-182026-07-01
XPEV68%81%38%33,18325,9717,212403,759552026-08-252026-09-182026-07-01
XRT27%29%100%5,0632,0393,02419,2512026-09-182026-07-01
XYZ45%28%21%15,0517,0907,961199,430292026-07-302026-09-182026-07-01
Z75%77%99%4,7901,1013,68943,338292026-07-302026-09-182026-07-01
ZETA77%63%37%18,80014,2294,571262,578352026-08-052026-09-182026-07-01
ZIM74%81%63%3,0721,7951,27744,263492026-08-192026-09-182026-07-01
ZM47%61%38%6,0904,3041,786121,112542026-08-242026-09-182026-07-01
ZS75%84%100%14,0169,5874,429129,086692026-09-082026-09-182026-07-01
ZTS62%95%100%6,6632,0034,660105,209362026-08-062026-09-182026-07-01

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

  2. Nick

    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. Tony

      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
看我們的交易成效
擊敗標普500指數450%的完整交易策略
看我們的交易成效