봄마
λ΄λ§κ° 무μμΈκ°μ?
Vommaλ μ΅μ μ λ² κ°κ° μμ₯μ λ³λμ±μ λ°μνλ λΉμ¨μ λλ€. Vommaλ μ΅μ κ°κ²© μ± μ μ μ¬μ©λλ "그리μ€"λ‘ μλ €μ§ delta,. gamma λ° vega μ κ°μ μΈ‘μ κ·Έλ£Ήμ μΌλΆμ λλ€ .
λ΄λ§ μ΄ν΄νκΈ°
Vommaλ μ΅μ κ°μΉμ λν 2μ°¨ λν¨μμ΄λ©° λ² κ°μ λ³Όλ‘μ±μ 보μ¬μ€λλ€. vommaμ λν μμ κ°μ λ³λμ±μ΄ νΌμΌνΈ ν¬μΈνΈ μ¦κ°νμ¬ μ΅μ κ°μΉκ° μ¦κ°νλ€λ κ²μ λνλ΄λ©°, μ΄λ vegaμ λ³Όλ‘μ± μ μν΄ μ μ¦λ©λλ€.
Vommaμ vegaλ μμ΅μ± μλ μ΅μ κ±°λλ₯Ό μ΄ν΄νκ³ μλ³νλ λ° κ΄λ ¨λ λ κ°μ§ μμμ λλ€. μ΄ λμ ν¨κ» μλνμ¬ μ΅μ κ°κ²©κ³Ό μμ₯ λ³νμ λν μ΅μ κ°κ²©μ λ―Όκ°λμ λν μΈλΆ μ 보λ₯Ό μ 곡ν©λλ€. κ·Έκ²λ€μ μ΅μ κ°κ²© κ²°μ μ λν λΈλ μμ¦ κ°κ²© λͺ¨λΈ μ λ―Όκ°λμ ν΄μμ μν₯μ λ―ΈμΉ μ μμ΅λλ€ .
Vommaλ 2μ°¨ κ·Έλ¦¬μ€ νμ μνμΌλ‘, κ·Έ κ°μΉλ κΈ°λ³Έ μνμ λ΄μ¬ λ³λμ±(IV) μ λ°λΌ λ² κ°κ° μ΄λ»κ² λ³ν μ§μ λν ν΅μ°°λ ₯μ μ 곡νλ€λ μλ―Έμ λλ€. μμ 보λ§κ° κ³μ°λκ³ λ³λμ±μ΄ μ¦κ°νλ©΄ μ΅μ ν¬μ§μ μ λ² κ°κ° μ¦κ°ν©λλ€. λ³λμ±μ΄ λ¨μ΄μ§λ©΄ μμ vommaλ vegaμ κ°μλ₯Ό λνλ λλ€. vommaκ° μμμ΄λ©΄ vega's convexityλ‘ νμλλ λ³λμ± λ³νμ ν¨κ» λ°λ νμμ΄ λ°μν©λλ€.
μΌλ°μ μΌλ‘ μ΅μ μ΄ κΈ΄ ν¬μμλ vommaμ λν΄ λμ κΈμ μ κ°μΉλ₯Ό μ°ΎμμΌ νκ³ μ΅μ μ΄ μ§§μ ν¬μμλ λΆμ μ μΈ κ°μΉλ₯Ό μ°ΎμμΌ ν©λλ€.
vommaλ₯Ό κ³μ°νλ 곡μμ λ€μκ³Ό κ°μ΅λλ€.
Vegaμ vommaλ μ΅μ κ°κ²©μ μν₯μ λ―ΈμΉλ λ³μμ λν Black-Scholes μ΅μ κ°κ²© μ± μ λͺ¨λΈμ λ―Όκ°λλ₯Ό μΈ‘μ νλ λ° μ¬μ©ν μ μλ μΈ‘μ κ°μ λλ€. ν¬μ κ²°μ μ λ΄λ¦΄ λ Black-Scholes κ°κ²© μ± μ λͺ¨λΈκ³Ό ν¨κ» κ³ λ €λ©λλ€.
λ² κ°
Vega λ ν¬μμκ° κΈ°μ΄ μνμμ λ°μνλ λ³λμ±μ λν νμ μν μ΅μ μ λ―Όκ°λλ₯Ό μ΄ν΄νλ λ° λμμ΄ λ©λλ€. Vegaλ κΈ°μ΄ μνμ λ³λμ±μ΄ 1% λ³ν λ μ΅μ κ°κ²©μμ μμλλ μμ λλ μμ λ³λλμ μ 곡ν©λλ€. μμ λ² κ°λ μ΅μ κ°κ²©μ μμΉμ λνλ΄κ³ μμ λ² κ°λ μ΅μ κ°κ²©μ νλ½μ λνλ λλ€.
Vegaλ μΌλ°μ μΌλ‘ -20μμ 20 μ¬μ΄μ κ°μ κ°λ μ μλ‘ μΈ‘μ λ©λλ€. κΈ°κ°μ΄ κΈΈμλ‘ λ² κ°κ° λμμ§λλ€. Vega κ°μ μμ€κ³Ό μ΄μ΅μ λνλ΄λ λ°°μλ₯Ό μλ―Έν©λλ€. μλ₯Ό λ€μ΄, $100μ μ£Όμ Aμ λν 5μ λ² κ°λ λ΄μ¬ λ³λμ±μ΄ 1ν¬μΈνΈ κ°μν λλ§λ€ 5λ¬λ¬μ μμ€μ΄ λ°μνκ³ 1ν¬μΈνΈ μ¦κ°ν λλ§λ€ 5λ¬λ¬μ μ΄μ΅μ΄ λ°μν¨μ λνλ λλ€.
λ² κ° κ³μ° 곡μμ λ€μκ³Ό κ°μ΅λλ€.
c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14
c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54
c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2.5,-2c4.7,0,8.7,3.3,12,10
s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429
c69,-144,104.5,-217.7,106.5,-221
l0-0
c5.3,-9.3,12,-14,20,-14
H400000v40H845.2724
s-225.272.467,-225.272.467s-235.486,-235.486c-2.7,4.7,-9.7,-19.7
c-6.0,-10,-1,-12,-3s-194,-422,-194,-422s-65.47,-65.47z
M834 80h400000v40h-400000z'/>β<span class="vlist" μ€νμΌ="λμ΄:0.09858500000000003em;"> ν¬ν¨Ο(d1)=<span ν΄λμ€ ="vli st-t vlist-t2"><span class="pstrut" μ€νμΌ="λμ΄:3.15602em;">< span class="vlist-r">2<span ν΄λμ€ ="mord mathnormal" style="margin-right:0.03588em;">Ο
c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14
c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54
c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2.5,-2c4.7,0,8.7,3.3,12,10
s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429
c69,-144,104.5,-217.7,106.5,-221
l0-0
c5.3,-9.3,12,-14,20,-14
H400000v40H845.2724
s-225.272.467,-225.272.467s-235.486,-235.486c-2.7,4.7,-9.7,-19.7
c-6.0,-10,-1,-12,-3s-194,-422,-194,-422s-65.47,-65.47z
M834 80h400000v40h-400000z'/>β < span class="mord"><μ€ν¬ ν΄λμ€ ="vlist-r">β <span ν΄λΌ ss="vlist-r"><span class="pstrut" μ€νμΌ="λμ΄: 3em;">2</ μ€ν¬><span class="frac-line mtight" μ€νμΌ ="border-bottom-width:0.049em;"><span class="pstrut" μ€νμΌ="λμ΄:3em;"> d 1<span class="vlist" μ€νμΌ ="λμ΄:1.04844em;"> 2</spa n> βλ°d1=<span class="vlist" μ€νμΌ="λμ΄:2.7900300000000002 em;">Ο<span class="pstrut" μ€νμΌ="λμ΄ :3em;">
c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14
c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54
c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2.5,-2c4.7,0,8.7,3.3,12,10
s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429
c69,-144,104.5,-217.7,106.5,-221
l0-0
c5.3,-9.3,12,-14,20,-14
H400000v40H845.2724
s-225.272.467,-225.272.467s-235.486,-235.486c-2.7,4.7,-9.7,-19.7
c-6.0,-10,-1,-12,-3s-194,-422,-194,-422s-65.47,-65.47z
M834 80h400000v40h-400000z'/>β < span class="mord">ln(KS</ μ€ν¬> )+ < span class="mspace" style="margin-right:0.2222222222222222em;">(< span class="mord mathnormal" style="margin-right:0.02778em;">r<μ€ν¬ ν΄λμ€ ="mbin">+ 2<μ€ν¬ μ€νμΌ ="top:-3.394em;"><span class="mord mathnormal mtight" μ€νμΌ=" margin-right:0.03588em;">Ο<span class="vlist" μ€νμΌ ="λμ΄:0.8913142857142857em;"> 2 < span class="vlist" style="height:0.345em;"></ μ€ν¬>) <span class="vlist" μ€νμΌ="λμ΄: 0.93em ;">< /span >μ¬κΈ°μ:K=μ΅μ
νμ¬κ° N=</s pan>νμ€ μ κ· λμ λΆν¬ ν¨μr= 무μν μ΄μμ¨ μ€ν¬><span ν΄λμ€ ="mord">Ο<span class="mspace" μ€νμΌ ="margin-right:0.2777777777777778em;">=
##νμ΄λΌμ΄νΈ
Vommaλ μ΅μ κ°μΉμ λν 2μ°¨ λν¨μμ΄λ©° λ² κ°μ λ³Όλ‘μ±μ λνλ λλ€.
Vommaλ μ΅μ μ λ² κ°κ° μμ₯μ λ³λμ±μ λ°μνλ λΉμ¨μ λλ€.
Vommaλ μ΅μ κ°κ²© μ± μ μ μ¬μ©λλ "그리μ€"λ‘ μλ €μ§ λΈν, κ°λ§ λ° λ² κ°μ κ°μ μΈ‘μ κ·Έλ£Ήμ μΌλΆμ λλ€.