Questions tagged [exotics]
The exotics tag has no usage guidance.
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What will be the payoff equation of a GBPUSD European Exotic option/FX forward with Notional in USD [duplicate]
Given the currency pair , GBPUSD with
spot price as $S_t$ at time $t$, Strike price as $K$, $I$ is an indicator function indicating if GBPUSD is below the "Knock-in-Rate" at expiry, $L$ ...
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Can someone please suggest good books for Rates Structuring? [duplicate]
I am interviewing for with a bank for their Rates Structurer. Can someone please suggest literature I can go through.
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Is Lookback option more path-dependent than an Asian option
Lookback option:
Path dependency comes from taken the extremum over the whole trajectory.
It is equivalent to a continuous barrier option which can be statically replicated which makes the continuous ...
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Replication of the payoff of a chooser option
With numerical examples, how can the payoff of a chooser option be replicated with European call and put options?
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Monte Carlo option pricing
Can someone please confirm if I understood this correctly.
The Monte Carlo method for pricing path-dependent options essentially gives you a multitude of price processes, which you use to determine ...
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Hedge up-knock-in forward option
I wolud like to know if there is an analytic formula to to valuate a up-knock-in forward, it means
\begin{equation*}
(S_{H_B}-S_T)1_{[H_B\leq T]}
\end{equation*}
where $H_B=\inf[t\geq0 | S_t=B]...
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Hedge for some exotic options
It is well known that a european call option with strike price $C(K)=(S_T-k)^+$ coul be hedge using the Black-Scholes formula $BS(t,T,r,K,S_0)$. I would like to find a hedge (or sub-hedge) of the the ...
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Vanna vs volga and vega
So the bloomberg article that I'm referring to (Bloomberg. Variations on the Vanna-Volga Adjustment. Travis Fisher. Quantitative Research and Development, FX Team. January 26, Version 1) states that ...
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Is this payoff an exotic option or a standard european?
The writer is selling a european call option with $K=S_{0}$, $S=S_{0}$ ($payoff_{T} = (S_{T} -k)_{+}$), time to maturity $T$, with a twist:
With some probability, $Pr(l) \geq 0,$ $\forall t,$ $0 <...
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Option Payoff in Different Currencies
In the stackexchange answer Change of numeraire in options with currency exchange features
Pratically speaking, what this expresses is that these two things are the same:
Converting the payoff (which ...
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Pricing and Risk Management of Exotic Options with a Volatility Surface [duplicate]
Bit of a newbie question; but I see this pop up from time to time.
If we have a volatility surface (e.g. for the S&P500) built from market options what more can we do with it, but price other ...
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Kingdom of Denmark Nikkei put warrants [closed]
I have read in a book from Emanuel Derman that Goldman Sachs manufactured a derivative in the early 90's that consisted of buying cheap puts on the Nikkei index (and paid in Yen) and combining them ...
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Local v/s global calibration for a Bermudan Option (calibrate co-terminals vs entire matrix)
I am quite new to rates modeling and I have a question on the pros and cons of calibrating to larger set of vanilla instruments v/s calibrating to an exotic's 'natural' hedges. For example, I could ...
CommunityBot
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How to properly weight fair value, theta, and cega in a multi asset model?
I'm working with a multi-asset worst of model and the outputs are FV,d1,d2,g1,g2,v1,v2,cega, theta.
Its easy to assign proper delta, gamma, vega to the respective asset1 & asset2, but how would ...
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Practical risk management on snowball autocallable portfolios
I am new to exotic options pricing and risk management. The scenario that I encounter is that the market maker sells snowball autocallable products(accumulated coupon) every trading day and has to ...
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SABR LMM vs no-arbitrage term structure of SABR parameters
There exists a LIBOR Market Model with stochastic volatility for pricing and hedging exotic (e.g. path-dependent) interest rate options with smile. However let us consider the following approach:
...
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Practically, are the prices of 0-strike European calls and stock identical?
By no-arbitrage, the price of a vanilla European call with $K=0$ should be that of the underlying stock (as selling the call is perfectly hedged by buying the stock). However, is this true in practice?...
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How to price a phoenix and snowball type autocallable options?
I'm currently studying the pricing of autocallable options, especially snowball (accumalated coupon) and phoenix (accumlated coupon, but the coupon may also be autocalled if the underlying price ...
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What's the typical markup on quoted exotics, and what drives this premium?
I'm curious about the typical markup on quoted exotic options as well as what drives this premium.
You call up an options desk for a quote, and they'll give you a spread that reflects their market on ...
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Special Exotic Option Pricing Approach [closed]
I am currently stuck with the following problem:
You need to price the following exotic option, where the share price of Stock ABC is the underlying:
• Time to maturity: 2 years
• Right to exercise: ...
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How to price american barrier with Local-Stochastic Volatility
I have attended a conference where one speaker mentioned that the market standard to price FX and Equity derivatives is now the Local-Stochastic volatility model.
I understand this class of model is a ...
CommunityBot
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Perpetual Option Paying Chooser Option
A perpetual option solves the ODE
$$rSV_S+\frac{1}{2}\sigma^2S^2V_{SS}-rV=0$$
The general solution is $$V(S)=aS+bS^{\gamma}$$ where $\gamma=-\frac{2r}{\sigma^2}<0$.
For an American put option with ...
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Single barrier options in stochastic volatility models
In this note/sketch, I derive among others a closed-form formula for an up and in put (UIP) in stochastic volatility models of the form
$$
dS(t) = \sigma(t) S(t) \left[ \rho dW(t) + \sqrt{1-\rho^2} dZ ...
CommunityBot
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How does the issuer of a Barrier Reverse Convertible determine the coupon?
I am looking into BRC's, and I keep reading about their relatively high coupon rates which are pre-determined by the issuer. However, I can't seem to find any good resources on HOW they pre-determine ...
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Basic Autocall question
I'm pretty new in structured products area and I have some basics questions regarding autocall :
Why the autocall has an automatic redemption feature ? I mean an Investor could be interested in ...
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What is the name and payoff of this exotic option (where the holder can lock in a price)?
An exotic option is described as follows:
Let $S_t$ be the underlying at $t$. The holder has the option to lock
in the current price during the lifetime of the option, which he does for $S_{t}=50$. ...
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Pricing of European options on two underlying assets
Is anybody able to give the solution to the following problem?
Suppose we have two assets, each of which follows a GBM process, and where $dW_S$ and $dW_X$ are correlated $(dW_SdW_X=\rho)$.
$dS=\mu_s ...
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COS method option pricing
is the cos method used to calculate prices of options other than the European call? Or is this method only used for calibration? Is it possible to evaluate the barrier and lookback options? I am ...
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Autocall pricing: what does "Lipschitz continuous parameterization" mean?
I've been reading through this research paper (A Monte Carlo Pricing Algorithm For Autocallables That Allows for Stable Differentiation by T. Alm, B. Harrach, D. Harrach, M. Keller) about a method for ...
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Requesting for price?
Just for education purpose. Assuming I have some trading ideas that involves the use of OTC derivatives but I may not be able to put them into practice due to regulatory issues and huge minimum ...
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Is there an analogous strikeFromDelta implementation for 1st gen barrier options?
I have a simple replication pricing implementation for 1st gen exotics (digitals, single and double barriers, etc.). In order to effectively test strategies I want to price "like" strikes ...
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Can I combine the exotics for a payout?
Can I combine a one touch option(barrier lower than current price) and no touch option(barrier higher than current price), so that I get a payout immediately only if the one touch barrier is breached ...
CommunityBot
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Monte Carlo approximation of call option on the maximum of two assets
I want to compute the price of the option with payoff
\begin{equation}
\max \big\{\max\{S^1_T, S^2_T\} - K, 0\big\},
\end{equation}
where $S^{1,2}$ have the same dynamics with 0 correlation. So,
\...
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Exotics - Combination of different payoffs using Black-Scholes
I'm currently struggling with the derivation of a formula to price the following exotic option with Black-Scholes.
The option has the maximum payoff of $(S_T-z)$ and $(y - S_T)$, where $S_T$ is the ...
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Structuring and Customization
It seems complex derivatives in particular exotic options are not available at any retail broker. Can a regular retail trader get access to these instruments? Maybe through prop firms or banks? ...
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Discrete geometric asian option, analytic vs MC
I am attempting to price a discrete geometric Asian option using both the closed form formula (can be found in section 3.2.2 of 'Monte Carlo methods in Financial Engineering' by Glasserman) and an MC ...
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Floating lookback put, MC vs analytic
I am attempting to price a floating lookback put using the analytic formula. (eg. can be found in Shreve's vol II stochastic calculus section 7.4 or on Wikipedia) and wish to confirm the result by ...
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Valuing Conditional "All Or Nothing" Multi Asset Options
I would like some insight as to how to value modified rainbow options on multiple assets:
For example: A multi asset option, Call GOOG with $S_t$ \$1600 that you may exercise if and only if you also ...
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Graph of a down-and-in barrier option
Here is a graph of Price vs Spot from Joshi's Quant Interviews book,
The first line is a down-and-out barrier option and the other one is a down-and-in barrier option. The strike is 100 and the ...
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Valuation of Corridor Variance Swaps
Given that the payout of the Corridor Variance Swap (CVS) is $V \left(\frac{\sum_{n=0}^{N}I}{T_2 - T_0} (\sigma^2 - K^2) \right)$, where $\sigma^2$ is the realized variance within the pre-specified ...
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Implied Volatility for Asian option
I am new to the topic of Asian options. Assume I want to price an Asian put (fixed strike, discrete average) in the Black Scholes world. I know implementations to calculate the value but what is the ...
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Barrier Reverse Convertible
I am a finance student and during my free time I try to understand more financial products.
Today I have found a term sheet for a specific type of barrier reverse convertible but I couldn't understand ...
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Machine/Deep Learning for Exotic Option Pricing - Reference Request
Exotic options, in general, have very time-consuming valuation models. I believe in recent years there has been some research done on using supervised machine/deep learning to predict the valuation ...
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Option where option writer determines type of option to give to holder
I am currently looking at an exotic option that allows the holder, at some time $\tau$, to receive either a call or put — the choice of which is decided by the option writer — of which both have the ...
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Black Scholes price of exotic claim
Given a time horizon N, I want to know the time-$t$ Black-Scholes fair price of $$\int_0^T S_u du$$ where $S_u$ denotes the time-$u$ stock price. I have used the formula I have been given as follows:
$...
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Confusion about optimal choices with exotic options
With exotic options, holders usually face choices at certain times. In my understanding, the price of the option is determined by assuming the optimal choice is taken and computing the discounted ...
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using moment matching to price spread options (multi asset)
this is my very first question in this forum, after having been a greed follower since a few years, feeling that I need your help in a topic.
I need to price a multi asset option that has the ...
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Pricing an Option with payoff $\left(1-\frac{K}{S_t}\right)^{+}$
Let $S_t=S_0 \exp\left\{rt+0.5\sigma^2t+\sigma W_t\right\}$ be the usual GBM model for a Stock price under the money-market numeraire.
Suppose we want to price an option with payoff at maturity: $C_T=(...
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What's the difference between a normal Autocall and a Phoenix Autocall?
I understand the structure of the autocall, how they're priced and their contingent coupons. What I'm not completely clear on is the difference between a "vanilla" Autocall and a Phoenix ...
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Undergraduate research topic in options [closed]
I'm an undergraduate student in finance with a pretty solid knowledge of financial mathematics and I'm currently picking a topic for my research paper this year. I have already decided I will pick ...
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