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λ΄„λ§ˆκ°€ λ¬΄μ—‡μΈκ°€μš”?

VommaλŠ” μ˜΅μ…˜μ˜ λ² κ°€κ°€ μ‹œμž₯의 변동성에 λ°˜μ‘ν•˜λŠ” λΉ„μœ¨μž…λ‹ˆλ‹€. VommaλŠ” μ˜΅μ…˜ 가격 책정에 μ‚¬μš©λ˜λŠ” "그리슀"둜 μ•Œλ €μ§„ delta,. gamma 및 vega 와 같은 μΈ‘μ • 그룹의 μΌλΆ€μž…λ‹ˆλ‹€ .

λ΄„λ§ˆ μ΄ν•΄ν•˜κΈ°

VommaλŠ” μ˜΅μ…˜ κ°€μΉ˜μ— λŒ€ν•œ 2μ°¨ λ„ν•¨μˆ˜μ΄λ©° λ² κ°€μ˜ 볼둝성을 λ³΄μ—¬μ€λ‹ˆλ‹€. vomma에 λŒ€ν•œ μ–‘μˆ˜ 값은 변동성이 νΌμ„ΌνŠΈ 포인트 μ¦κ°€ν•˜μ—¬ μ˜΅μ…˜ κ°€μΉ˜κ°€ μ¦κ°€ν•œλ‹€λŠ” 것을 λ‚˜νƒ€λ‚΄λ©°, μ΄λŠ” vega의 볼둝성 에 μ˜ν•΄ μž…μ¦λ©λ‹ˆλ‹€.

Vomma와 vegaλŠ” μˆ˜μ΅μ„± μžˆλŠ” μ˜΅μ…˜ 거래λ₯Ό μ΄ν•΄ν•˜κ³  μ‹λ³„ν•˜λŠ” 데 κ΄€λ ¨λœ 두 가지 μš”μ†Œμž…λ‹ˆλ‹€. 이 λ‘˜μ€ ν•¨κ»˜ μž‘λ™ν•˜μ—¬ μ˜΅μ…˜ 가격과 μ‹œμž₯ 변화에 λŒ€ν•œ μ˜΅μ…˜ κ°€κ²©μ˜ 민감도에 λŒ€ν•œ μ„ΈλΆ€ 정보λ₯Ό μ œκ³΅ν•©λ‹ˆλ‹€. 그것듀은 μ˜΅μ…˜ 가격 결정에 λŒ€ν•œ λΈ”λž™ μˆ„μ¦ˆ 가격 λͺ¨λΈ 의 민감도와 해석에 영ν–₯을 λ―ΈμΉ  수 μžˆμŠ΅λ‹ˆλ‹€ .

VommaλŠ” 2μ°¨ 그리슀 νŒŒμƒ μƒν’ˆμœΌλ‘œ, κ·Έ κ°€μΉ˜λŠ” κΈ°λ³Έ μƒν’ˆμ˜ λ‚΄μž¬ 변동성(IV) 에 따라 λ² κ°€κ°€ μ–΄λ–»κ²Œ 변할지에 λŒ€ν•œ 톡찰λ ₯을 μ œκ³΅ν•œλ‹€λŠ” μ˜λ―Έμž…λ‹ˆλ‹€. μ–‘μ˜ λ³΄λ§ˆκ°€ κ³„μ‚°λ˜κ³  변동성이 μ¦κ°€ν•˜λ©΄ μ˜΅μ…˜ ν¬μ§€μ…˜μ˜ λ² κ°€κ°€ μ¦κ°€ν•©λ‹ˆλ‹€. 변동성이 떨어지면 μ–‘μˆ˜ vommaλŠ” vega의 κ°μ†Œλ₯Ό λ‚˜νƒ€λƒ…λ‹ˆλ‹€. vommaκ°€ 음수이면 vega's convexity둜 ν‘œμ‹œλ˜λŠ” 변동성 변화와 ν•¨κ»˜ λ°˜λŒ€ ν˜„μƒμ΄ λ°œμƒν•©λ‹ˆλ‹€.

일반적으둜 μ˜΅μ…˜μ΄ κΈ΄ νˆ¬μžμžλŠ” vomma에 λŒ€ν•΄ 높은 긍정적 κ°€μΉ˜λ₯Ό μ°Ύμ•„μ•Ό ν•˜κ³  μ˜΅μ…˜μ΄ 짧은 νˆ¬μžμžλŠ” 뢀정적인 κ°€μΉ˜λ₯Ό μ°Ύμ•„μ•Ό ν•©λ‹ˆλ‹€.

vommaλ₯Ό κ³„μ‚°ν•˜λŠ” 곡식은 λ‹€μŒκ³Ό κ°™μŠ΅λ‹ˆλ‹€.

<의미둠>보마=< mfrac>βˆ‚Ξ½βˆ‚Οƒ =βˆ‚2 Vβˆ‚Οƒ2\begin \text = \frac{ \partial \nu}{\partial \sigma} = \frac{\partial ^ 2V}{\partial\sigma ^ 2} \end{μ •λ ¬}

Vega와 vommaλŠ” μ˜΅μ…˜ 가격에 영ν–₯을 λ―ΈμΉ˜λŠ” λ³€μˆ˜μ— λŒ€ν•œ Black-Scholes μ˜΅μ…˜ 가격 μ±…μ • λͺ¨λΈμ˜ 민감도λ₯Ό μΈ‘μ •ν•˜λŠ” 데 μ‚¬μš©ν•  수 μžˆλŠ” μΈ‘μ •κ°’μž…λ‹ˆλ‹€. 투자 결정을 내릴 λ•Œ Black-Scholes 가격 μ±…μ • λͺ¨λΈκ³Ό ν•¨κ»˜ κ³ λ €λ©λ‹ˆλ‹€.

λ² κ°€

Vega λŠ” νˆ¬μžμžκ°€ 기초 μƒν’ˆμ—μ„œ λ°œμƒν•˜λŠ” 변동성에 λŒ€ν•œ νŒŒμƒ μƒν’ˆ μ˜΅μ…˜μ˜ 민감도λ₯Ό μ΄ν•΄ν•˜λŠ” 데 도움이 λ©λ‹ˆλ‹€. VegaλŠ” 기초 μƒν’ˆμ˜ 변동성이 1% λ³€ν•  λ•Œ μ˜΅μ…˜ κ°€κ²©μ—μ„œ μ˜ˆμƒλ˜λŠ” μ–‘μˆ˜ λ˜λŠ” 음수 λ³€λ™λŸ‰μ„ μ œκ³΅ν•©λ‹ˆλ‹€. μ–‘μ˜ λ² κ°€λŠ” μ˜΅μ…˜ κ°€κ²©μ˜ μƒμŠΉμ„ λ‚˜νƒ€λ‚΄κ³  음의 λ² κ°€λŠ” μ˜΅μ…˜ κ°€κ²©μ˜ ν•˜λ½μ„ λ‚˜νƒ€λƒ…λ‹ˆλ‹€.

VegaλŠ” 일반적으둜 -20μ—μ„œ 20 μ‚¬μ΄μ˜ 값을 κ°–λŠ” μ •μˆ˜λ‘œ μΈ‘μ •λ©λ‹ˆλ‹€. 기간이 길수둝 λ² κ°€κ°€ λ†’μ•„μ§‘λ‹ˆλ‹€. Vega 값은 손싀과 이읡을 λ‚˜νƒ€λ‚΄λŠ” 배수λ₯Ό μ˜λ―Έν•©λ‹ˆλ‹€. 예λ₯Ό λ“€μ–΄, $100의 주식 A에 λŒ€ν•œ 5의 λ² κ°€λŠ” λ‚΄μž¬ 변동성이 1포인트 κ°μ†Œν•  λ•Œλ§ˆλ‹€ 5λ‹¬λŸ¬μ˜ 손싀이 λ°œμƒν•˜κ³  1포인트 증가할 λ•Œλ§ˆλ‹€ 5λ‹¬λŸ¬μ˜ 이읡이 λ°œμƒν•¨μ„ λ‚˜νƒ€λƒ…λ‹ˆλ‹€.

λ² κ°€ 계산 곡식은 λ‹€μŒκ³Ό κ°™μŠ΅λ‹ˆλ‹€.

<의미둠> v=S Ο•(d1) t 포함 < mstyle scriptlevel="0" displaystyle="true">Ο•(d1)=e -< mrow>d122< /mrow>2Ο€< /mtd>및<mstyle 슀크립트 μˆ˜μ€€ ="0" displaystyle="true">d1=ln<λͺ¨ 펜슀 ="false">(SK)+ (r+Οƒ 22)t< mi>Οƒt< mtd><mstyle 슀크립트 tlevel="0" displaystyle="true">μ—¬κΈ°μ„œ:</mtr K=μ˜΅μ…˜ 행사가< / mtr>N=ν‘œμ€€ μ •κ·œ λˆ„μ  뢄포 ν•¨μˆ˜</ mtd>r=λ¬΄μœ„ν—˜ 금리</ mstyle ><mstyle 슀크립트 μˆ˜μ€€ = "0" displaystyle="true">Οƒ=기본의 변동성<mstyle 슀크립트 μˆ˜μ€€ ="0" displaystyle="true">S=κΈ°λ³Έ 가격 t=μ˜΅μ…˜ 만료 μ‹œκ°„\begin &\nu = S \phi (d1) \sqrt \ &\text \ &\phi ( d1) = \frac {e ^ { -\frac{d1 ^ 2}{2} } }{ \sqrt{2 \pi} } \ &\text \ &d1 = \frac { ln \bigg ( \frac \bigg ) + \bigg ( r + \frac {\sigma ^ 2}{2} \bigg ) t }{ \sigma \sqrt } \ &\ textbf\ &K = \text{μ˜΅μ…˜ 행사가} \ &N = \text{ν‘œμ€€ 일반 λˆ„μ  뢄포 ibution ν•¨μˆ˜} \ &r = \text{λ¬΄μœ„ν—˜ 이자율} \ &\sigma = \text{기초의 변동성} \ &S=\text{기초의 가격} \ & t = \text{μ˜΅μ…˜ 만료 μ‹œκ°„} \ \end{μ •λ ¬}

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c-6.0,-10,-1,-12,-3s-194,-422,-194,-422s-65.47,-65.47z

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c5.3,-9.3,12,-14,20,-14

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M834 80h400000v40h-400000z'/>​ < span class="mord">ln(KS</ 슀팬> )+ < span class="mspace" style="margin-right:0.2222222222222222em;">(< span class="mord mathnormal" style="margin-right:0.02778em;">r<슀팬 클래슀 ="mbin">+ 2<슀팬 μŠ€νƒ€μΌ ="top:-3.394em;"><span class="mord mathnormal mtight" μŠ€νƒ€μΌ=" margin-right:0.03588em;">Οƒ<span class="vlist" μŠ€νƒ€μΌ ="높이:0.8913142857142857em;"> 2 < span class="vlist" style="height:0.345em;"></ 슀팬>) <span class="vlist" μŠ€νƒ€μΌ="높이: 0.93em ;">< /span >μ—¬κΈ°μ„œ:K=μ˜΅μ…˜ 행사가 N=</s pan>ν‘œμ€€ μ •κ·œ λˆ„μ  뢄포 ν•¨μˆ˜r= λ¬΄μœ„ν—˜ 이자율 슀팬><span 클래슀 ="mord">Οƒ<span class="mspace" μŠ€νƒ€μΌ ="margin-right:0.2777777777777778em;">=기초의 변동성 S=<span class="mspace" μŠ€νƒ€μΌ= "margin-right:0.2777777777777778em;">κΈ°λ³Έ 가격 = μ˜΅μ…˜ 만료 μ‹œκ°„ 슀팬><슀팬 클래슀 s="vlist-s">

##ν•˜μ΄λΌμ΄νŠΈ

  • VommaλŠ” μ˜΅μ…˜ κ°€μΉ˜μ— λŒ€ν•œ 2μ°¨ λ„ν•¨μˆ˜μ΄λ©° λ² κ°€μ˜ 볼둝성을 λ‚˜νƒ€λƒ…λ‹ˆλ‹€.

  • VommaλŠ” μ˜΅μ…˜μ˜ λ² κ°€κ°€ μ‹œμž₯의 변동성에 λ°˜μ‘ν•˜λŠ” λΉ„μœ¨μž…λ‹ˆλ‹€.

  • VommaλŠ” μ˜΅μ…˜ 가격 책정에 μ‚¬μš©λ˜λŠ” "그리슀"둜 μ•Œλ €μ§„ 델타, 감마 및 베가와 같은 μΈ‘μ • 그룹의 μΌλΆ€μž…λ‹ˆλ‹€.