Questions tagged [exotics]

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About Hedging of One-touch Options

The pricing of American Digital Call (one-touch Calls) has the following formulas, taken from P13, the textbook \begin{aligned} C_{\mathrm{d}}^{\mathrm{Am}}(S, t ; E) & =\left(\frac{S}{E}\right)^{\...
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2 votes
1 answer
92 views

Why A Derivative With Intrinsic Arbitrage Cannot Be Valued & Hedged With Assets In Risk Neutral?

I'm attempting to concisely show why a derivative that, by nature, introduces arbitrage cannot be valued using risk neutral pricing tools. Derivative: Buyer is sold a 'call option', with time 0 value ...
TheOneTwoThreeForPumpkin's user avatar
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57 views

Shout option payoff replication

I have not seen much talk about exotic options, and if they are actually traded. Is it possible to replicate the payoff of a ‘Shout option’ using standard European/American call and put options?
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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, $L$ ...
humanoid's user avatar
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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.
owais mansoori's user avatar
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1 answer
92 views

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?
FawaMop's user avatar
2 votes
2 answers
121 views

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 ...
bigInner's user avatar
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82 views

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 ...
artemars's user avatar
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1 answer
38 views

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]...
Don P.'s user avatar
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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 ...
Don P.'s user avatar
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1 vote
2 answers
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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 ...
Julie Taylor's user avatar
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48 views

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 ...
Sinbad The Sailor's user avatar
1 vote
0 answers
71 views

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 ...
vanilla_skies's user avatar
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0 answers
352 views

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 ...
69hl's user avatar
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2 answers
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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?...
actinidia's user avatar
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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 ...
actinidia's user avatar
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3 votes
1 answer
856 views

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 ...
Pearl Trivedi's user avatar
-2 votes
1 answer
88 views

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 ...
Goo Gle's user avatar
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2 votes
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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 ...
Alex's user avatar
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1 vote
1 answer
248 views

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: ...
Hasek's user avatar
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3 votes
0 answers
168 views

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 ...
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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 ...
whaddaplaya's user avatar
1 vote
0 answers
178 views

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 ...
Emilio75's user avatar
1 vote
1 answer
128 views

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 $S_{t}=50$. ...
PaulG's user avatar
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3 votes
1 answer
339 views

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 ...
Eastwood94's user avatar
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2 answers
325 views

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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68 views

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 ...
TCopple's user avatar
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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 ...
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0 answers
135 views

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 ...
Peet's user avatar
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3 votes
2 answers
466 views

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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3 votes
2 answers
392 views

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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0 answers
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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 ...
quant_student's user avatar
0 votes
1 answer
101 views

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 ...
quant_student's user avatar
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1 answer
66 views

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 ...
Kareem Sayed's user avatar
0 votes
1 answer
366 views

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 ...
Rheromaster's user avatar
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0 answers
266 views

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 ...
Dhruv Mahajan's user avatar
0 votes
1 answer
157 views

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: $...
user3184807's user avatar
1 vote
0 answers
71 views

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 ...
user107224's user avatar
1 vote
0 answers
117 views

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 ...
TraderBruceWayne's user avatar
3 votes
1 answer
707 views

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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2 votes
1 answer
2k views

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 ...
AK88's user avatar
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1 answer
6k views

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 ...
Metrician's user avatar
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1 answer
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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 ...
Nick's user avatar
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2 votes
2 answers
331 views

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 ...
Metrician's user avatar
  • 123
1 vote
4 answers
2k views

What book(s) would you recommend for structuring and pricing Exotic Products?

I've been looking for good books on structuring equity derivatives (Principal Protected Notes, Autocalls, Lookbacks, Reverse Convertibles etc). I only found ones that discuss mainly the theoretical ...
Metrician's user avatar
  • 123
2 votes
0 answers
108 views

Determination of critical stock price in compound option pricing

Under the Black-Scholes framework, there is a closed form formula for the price of a compound options, as first derived by Geske (1979). However, the analytical formula refers to a critical stock ...
user avatar
9 votes
0 answers
843 views

Autocallable option Delta

There have been numerous exotic trading desk blow ups lately, related to various reasons. However, in particular, one bank had some issues where they were pricing autocallable notes with Local ...
ellie_cat's user avatar
  • 111
0 votes
0 answers
502 views

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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