New answers tagged black-scholes
0
votes
Price Option B Knowing The Price of a Similar Option A
Solution:
I've found the answer to this.
Assuming $r = 0$ and using Black Scholes:
For our 25-strike call option, we know that
$$
20N(d_1^c)-25N(d_2^c) = 0.90, \text{ where } d_{1,2}^c=\frac{\log{20/...
1
vote
Price Option B Knowing The Price of a Similar Option A
Welcome Kai, I am Kai. Hopefully this answers your question?
A Review on IV Calculations
https://www.sciencedirect.com/science/article/pii/S0377042717300602
I don't think there are exact mathematical ...
0
votes
0DTE volatility and greeks
0DTE options don't expire on market close (i.e 4PM) but the settlement happens in after market hours. If the market is pricing a move in that time your greeks will be useless, you can adjust for that ...
2
votes
Accepted
Why do the Greeks not converge to the strike as the volatility tends to zero?
If you shrink the volatility (let's say more extreme it goes to zero), then the spot price at maturity is simply $S_t e^{r(T-t)}$. There are no uncertainty; the at-maturity spot price becomes somehow ...
3
votes
0DTE volatility and greeks
You don't. The problem is that when the time horizon is so small, if the options isn't perfectly ATM, the gamma and vega $\approx0$, and delta $\approx1$. A small shift in the underlying further OTM/...
0
votes
Closed form / analytical solution for bespoke (but vanilla) Option
It is the same a option spread:
selling put strike at N+S_0 and buying put at strike S_0
0
votes
Closed form / analytical solution for bespoke (but vanilla) Option
I may have misunderstood the question, but it seems like this payoff is identical to being short the S0/(S0+N) European put spread? If ST > N+S0, the payoff is 0. If ST < S0, the payoff is -N. ...
0
votes
Closed form / analytical solution for bespoke (but vanilla) Option
I am not sure what your question is actually, but it seems to me that the payoff is just a compound option - short European call (MIN function on the value of a European call with strike N) on a long ...
1
vote
Accepted
How can I price this option?
A butterfly (option) is an option strategy with the payoff structure like below (disregard the axis labels, just take note of the structure):
There are 4 ranges you mentioned in your question:
$0 \...
Top 50 recent answers are included
Related Tags
black-scholes × 1139option-pricing × 345
options × 326
implied-volatility × 119
volatility × 82
greeks × 68
black-scholes-pde × 65
stochastic-calculus × 57
risk-neutral-measure × 54
european-options × 53
delta-hedging × 46
stochastic-processes × 41
derivatives × 41
programming × 40
monte-carlo × 35
finance-mathematics × 32
interest-rates × 31
hedging × 31
brownian-motion × 30
american-options × 29
delta × 29
martingale × 28
stochastic-volatility × 26
arbitrage × 25
black-scholes-merton × 24