Description Usage Arguments Details Value Author(s) References Examples
price.shimko.option
prices a European option based on the extracted Shimko volatility function.
1 | price.shimko.option(r, te, s0, k, y, a0, a1, a2)
|
r |
risk free rate |
te |
time to expiration |
s0 |
current asset value |
k |
strike |
y |
dividend yield |
a0 |
constant term in the quadratic polyynomial |
a1 |
coefficient term of k in the quadratic polynomial |
a2 |
coefficient term of k squared in the quadratic polynomial |
This function may produce negative option values when nonsensical values are used for a0, a1, and a2.
call |
call price |
put |
put price |
Kam Hamidieh
D. Shimko (1993) Bounds of probability. Risk, 6, 33-47
E. Jondeau and S. Poon and M. Rockinger (2007): Financial Modeling Under Non-Gaussian Distributions Springer-Verlag, London
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 | r = 0.05
y = 0.02
te = 60/365
s0 = 1000
k = 950
sigma = 0.25
a0 = 0.30
a1 = -0.00387
a2 = 0.00000445
#
# Note how Shimko price is the same when a0 = sigma, a1=a2=0 but substantially
# more when a0, a1, a2 are changed so the implied volatilies are very high!
#
price.bsm.option(r = r, te = te, s0 = s0, k = k, sigma = sigma, y = y)$call
price.shimko.option(r = r, te = te, s0 = s0, k = k, y = y,
a0 = sigma, a1 = 0, a2 = 0)$call
price.shimko.option(r = r, te = te, s0 = s0, k = k, y = y,
a0 = a0, a1 = a1, a2 = a2)$call
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