Thursday, October 4, 2012

EFFECT OF DIFFERENT PARAMETERS ON VEGA:


EFFECT OF DIFFERENT PARAMETERS ON VEGA:


VEGA with respect to change in SPOT PRICE:
SPOT
5600
5700
5800
5900
6000
6100
6200
6300
6400
STRIKE
6000
6000
6000
6000
6000
6000
6000
6000
6000
Days to Expiry
29
29
29
29
29
29
29
29
29
Volatility
30 %
30 %
30 %
30 %
30 %
30 %
30 %
30 %
30 %
Call Premium
57.25
82.48
114.74
154.61
202.35
257.92
320.98
390.97
467.14
Put Premium
457.25
382.48
314.74
254.61
202.35
157.92
120.98
90.97
67.14
Call Delta
0.2196
0.2863
0.3599
0.4378
0.5169
0.594
0.6664
0.7321
0.7897
Put  Delta
-0.7804
-0.7137
-0.6401
-0.5622
-0.4831
-0.406
-0.3336
-0.2679
-0.2103
Gamma
0.0006
0.0007
0.0008
0.0008
0.0008
0.0008
0.0007
0.0006
0.0005
Vega
4.6687
5.4663
6.1159
6.5539
6.7410
6.6683
6.3562
5.8483
5.2030
Observations:
As Spot Price increases
- Call premium increases and Put premium decreases.
- Call delta increases and Put delta decreases.
- Gamma is at peak at ATM and decreases as NIFTY moves away.
- Vega is at peak at ATM and decreases as NIFTY moves away.



VEGA with respect to change in STRIKE PRICE:
SPOT
6000
6000
6000
6000
6000
6000
6000
6000
6000
STRIKE
5600
5700
5800
5900
6000
6100
6200
6300
6400
Days to Expiry
29
29
29
29
29
29
29
29
29
Volatility
30 %
30 %
30 %
30 %
30 %
30 %
30 %
30 %
30 %
Call Premium
457.25
382.48
314.74
254.61
202.35
157.92
120.98
90.97
67.14
Put Premium
57.25
82.48
114.74
154.61
202.35
257.92
320.98
390.97
467.14
Call Delta
0.8046
0.7418
0.6712
0.5952
0.5169
0.4391
0.3649
0.2964
0.2355
Put  Delta
-0.1954
-0.2582
-0.3288
-0.4048
-0.4831
-0.5609
-0.6351
-0.7036
-0.7645
Gamma
0.0005
0.0006
0.0007
0.0008
0.0008
0.0008
0.0007
0.0007
0.0006
Vega
4.6687
5.4663
6.1159
6.5539
6.7410
6.6683
6.3562
5.8483
5.2030

Observations:
As Strike price Increases
- Call premium Decreases and Put Premium Increases.
- Call Delta Decreases and Put Delta Increases.
- Gamma is at peak at ATM and decreases as NIFTY moves away.
- Vega is at peak at ATM and decreases as NIFTY moves away.



VEGA with respect to change in DAYS TO EXPIRY:
SPOT
6000
6000
6000
6000
6000
6000
6000
6000
6000
STRIKE
6000
6000
6000
6000
6000
6000
6000
6000
6000
Days to Expiry
29
20
15
10
5
4
3
2
1
Volatility
30 %
30 %
30 %
30 %
30 %
30 %
30 %
30 %
30 %
Call Premium
202.35
168.05
145.55
118.84
84.04
75.17
65.10
53.15
37.58
Put Premium
202.35
168.05
145.55
118.84
84.04
75.17
65.10
53.15
37.58
Call Delta
0.5169
0.5140
0.5121
0.5099
0.5070
0.5063
0.5054
0.5044
0.5031
Put  Delta
-0.4831
-0.4860
-0.4879
-0.4901
-0.4930
-0.4937
-0.4946
-0.4956
-0.4969
Gamma
0.0008
0.0009
0.0011
0.0013
0.0019
0.0021
0.0024
0.0030
0.0042
Vega
6.7410
5.5997
4.8502
3.9608
2.8011
2.5055
2.1699
1.7718
1.2529

Observations:
As days to expiry decreases
- Both Call and Put Premium decrease.
- Call Delta decrease and Put Delta increases (Both move towards 0.5).
- Gamma increases.
- Vega decreases.



VEGA with respect to change in VOLATILITY:
SPOT
6000
6000
6000
6000
6000
6000
6000
6000
6000
STRIKE
6000
6000
6000
6000
6000
6000
6000
6000
6000
Days to Expiry
29
29
29
29
29
29
29
29
29
Volatility
100 %
80 %
60 %
50 %
40 %
30 %
20 %
10 %
1 %
Call Premium
672.48
538.62
404.34
337.07
269.74
202.35
134.92
67.47
6.75
Put Premium
672.48
538.62
404.34
337.07
269.74
202.35
134.92
67.47
6.75
Call Delta
0.5560
0.5449
0.5337
0.5281
0.5225
0.5169
0.5112
0.5056
0.5006
Put  Delta
-0.4440
-0.4551
-0.4663
-0.4719
-0.4775
-0.4831
-0.4888
-0.4944
-0.4994
Gamma
0.0002
0.0003
0.0004
0.0005
0.0006
0.0008
0.0012
0.0024
0.0236
Vega
6.6804
6.7043
6.7230
6.7303
6.7363
6.7410
6.7444
6.7464
6.7470

Observations:
As Volatility decreases
- Both Call and Put Premium decreases.
- Call Delta decreases and Put Delta Increases.
- Gamma increases.
- Vega increases.



VEGA with respect to change in RATE OF INTEREST:
SPOT
6000
6000
6000
6000
6000
6000
6000
6000
6000
STRIKE
6000
6000
6000
6000
6000
6000
6000
6000
6000
Days to Expiry
29
29
29
29
29
29
29
29
29
Volatility
30 %
30 %
30 %
30 %
30 %
30 %
30 %
30 %
30 %
Rate of Interest
50 %
40 %
30 %
20 %
10 %
5 %
3%
2 %
1 %
Call Premium
336.73
306.92
278.51
251.58
226.17
214.06
209.33
206.99
204.66
Put Premium
103.05
119.23
137.19
156.99
178.69
190.27
195.04
197.46
199.89
Call Delta
0.6957
0.6621
0.6271
0.591
0.5542
0.5356
0.5281
0.5243
0.5206
Put  Delta
-0.3043
-0.3379
-0.3729
-0.409
-0.4458
-0.4644
-0.4719
-0.4757
-0.4794
Gamma
0.0007
0.0007
0.0007
0.0008
0.0008
0.0008
0.0008
0.0008
0.0008
Vega
5.9180
6.1823
6.4017
6.5706
6.6847
6.7202
6.7303
6.7345
6.7380
Observations:
As Rate of Interest decreases
- Call Premium decreases and Put Premium increases.
- Call Delta increases and Put Delta decreases.
- Gamma increases.
- Vega increases.



VEGA RELATIONSHIP:

Variables
VEGA
Spot
Highest at ATM and reduces as NIFTY moves away
Strike
Highest at ATM and reduces as NIFTY moves away
Volatility
Negative
Days to Expiry
Positive
Rate of Interest
Negative





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