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Quant版 - 问个关于volatility的问题
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1 (共1页)
l*0
发帖数: 19
1
脑子短路了...
the implied volatility of 1 year option is 20%, and the implied volatility
of 2 year option on the same underlying is trading at 10%.
estimate the implied volatility of a one year option forward starting in 1
year
what happens if the one year volatility jumped to 25%.
多谢
k****y
发帖数: 4083
2
u asking about the 2-yr value?
b*******r
发帖数: 32
3
variance(year1 to year2)=variance(now to year2)*2 - variance(now to year1)*1
Implied volatility of a one year option forward starting in 1
year=sqrt(variance(year1 to year2))
But you have implied volatility of 2 year option <<< implied volatility of 1
year option. So in this case, it will end up seeking square root of
negative number- there is no solution in this case.
Gurus, any ideas?
i****e
发帖数: 78
4
the implied vol of forward start option only
depends on the time difference, therefore the
implied vol of forward start option is 20% for
case 1 and 25% for case 2.

*1
1

【在 b*******r 的大作中提到】
: variance(year1 to year2)=variance(now to year2)*2 - variance(now to year1)*1
: Implied volatility of a one year option forward starting in 1
: year=sqrt(variance(year1 to year2))
: But you have implied volatility of 2 year option <<< implied volatility of 1
: year option. So in this case, it will end up seeking square root of
: negative number- there is no solution in this case.
: Gurus, any ideas?

q***t
发帖数: 21
5
假设0-->1和1-->2年是两个bivariate gaussian
correlation只能从-1到1,所以可以求出forward start option
的vol的上下限。

【在 l*0 的大作中提到】
: 脑子短路了...
: the implied volatility of 1 year option is 20%, and the implied volatility
: of 2 year option on the same underlying is trading at 10%.
: estimate the implied volatility of a one year option forward starting in 1
: year
: what happens if the one year volatility jumped to 25%.
: 多谢

s*****g
发帖数: 323
6
are you sure? I don't get it...

【在 i****e 的大作中提到】
: the implied vol of forward start option only
: depends on the time difference, therefore the
: implied vol of forward start option is 20% for
: case 1 and 25% for case 2.
:
: *1
: 1

p****o
发帖数: 1340
7
your numbers're wrong?

【在 l*0 的大作中提到】
: 脑子短路了...
: the implied volatility of 1 year option is 20%, and the implied volatility
: of 2 year option on the same underlying is trading at 10%.
: estimate the implied volatility of a one year option forward starting in 1
: year
: what happens if the one year volatility jumped to 25%.
: 多谢

f*******y
发帖数: 52
8
I think the formula should be
v^2 = (v1^2 + v2^2) / 2
1 (共1页)
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