Questions tagged [bermudan]

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0answers
47 views

Hedge robustness of the one factor Hull White model

I recently came across a quote in a book: "All single factor models share the limitation that shifts in curve levels cause shifts in the package of vanilla options that are a good hedge for the ...
-1
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1answer
101 views

Why does a Bermudan option have a higher implied volatility than its European counterpart?

I get that the premium for an earlier exercise should be higher to compensate the seller but intuitively you would think that the spot has "less room to run" in a potentially shorter period of time (...
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1answer
56 views

Inequality involving Co-Terminal/Co-Initial American vs Bermudan Swaptions

Let us consider a payment schedule $\mathcal{P}:=\{t_1,\dots,t_n\}$ which has a corresponding fixing schedule $\mathcal{F}:=\{t_0,\dots,t_{n-1}\}$. We have a series of co-terminal and co-initial swaps ...
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2answers
621 views

Valuation of Bermudan option as maximum of relevant European options

Assume I need to price a Bermudan option which can be exercised at following dates: $t_1$, $t_2$, ..., $t_n$. I think that the price of such an option will be maximum of the prices of European options ...
2
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1answer
95 views

Bermudan option exercise probability when rates rise

I am looking for an explanation of what happens to the Bermudan exercise probability (i.e. does probability of early exercise go higher if rates rise or lower) w.r.t rates. This is of course with ...
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0answers
14 views

How to show the Bermudan put option is convex in strike price?

Is there a way to generalise the arbitrage argument for a European put being convex in strike price to the Bermudan option? (i.e. considering two portfolios, showing one has greater value than the ...
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0answers
15 views

Introducing initial lockout period for American-Asian options pricing in R

Currently attempting to price American-Bermuda-Asian call options using Monte Carlo simulations as done in Longstaff and Schwartz (2001). The options have an initial lockout period of 3 months, ...
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1answer
157 views

Is Longstaff-Schwartz best method for Bermudan options?

What is the go-to method for pricing of Bermudan/American options? I've heard the Longstaff-Schwartz method is really popular. Is it better than the other methods generally speaking? If not, which ...
2
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2answers
74 views

Lower bound for Bermudan Option Price

i have the following question. The price of an Bermudan option is given by \begin{align*} V_{0} = \sup_{\tau \in \mathcal{T}(0,\dots, T)} \mathbb{E}[f_{\tau}(X_{\tau})]. \end{align*} It is ...
1
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1answer
418 views

Bermudan Swaption

Is there an equation of the kind of call-put parity for Bermudean swaptions ? (maybe an inequality ) Is there an intuitive description of what would be an optimal exercise moment ? Intuitively I ...
1
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1answer
103 views

Asian Options Vs Bermudan Options

Which of these options are more popular in practice/used in industry? And where exactly are they used? Also, I have been searching for listed Asian and Bermudan options, for volume data etc, but have ...
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0answers
145 views

Moneyness for Cancellable Swaps

Hi I wanted to know we can assess the moneyness of Cancellable swaps? For example, I have a swap where I am paying the fixed rate and also have an option to cancel this option. How do I assess the ...
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1answer
126 views
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1answer
301 views

Bermudan Swaptions

Can someone explain, in layman's terms, the mechanics behind Bermudan Swapttions ( without having recourse to pricing models )? Why are they popular? when are they used ? How are they hedged i.e ...
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0answers
30 views

Option style with grant date

The following option exercise style is somewhere between American and European: There is a fixed grant date $N_1$ at which you determine at which date $N_2>N_1$ the option will be exercised. So ...
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0answers
468 views

Pricing back swaptions corresponding to underlying swaps of Bermudan Swaption in calibrated LMM

I do not know to which swaption volatility matrix I have to calibrate the LMM in order to price back correctly the swaptions corresponding to the underlying swaps of a Bermudan Swaption. My problem: ...
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2answers
239 views

Overpricing Bermudan swaption using Shifted LMM

I am trying to model a callable range accrual note linked to the EUR CMS spread, 20Y-10Y, with cap and floor. The note is Bermudan, callable starting year 3, every 3 years till maturity at 30 year. We ...
5
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3answers
433 views

Can call options be priced with Least-Squares Monte Carlo?

I have been reading about Least-Squares Monte Carlo (using Longstaff & Schwartz algorithm) for option pricing. So far, I have only read examples that uses LSMC for american/bermudan PUT options ...
4
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1answer
3k views

How can one value a Bermuda option?

A Bermuda option allows early exercise at predefined dates, e.g. at maturity equal to $t_1$, $t_2$, $t_3$,...; hence , would its value be the sum of 3 discounted European options with 1-year ...
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0answers
216 views

How to price an option with a “step up” feature using binomial tree?

I have a call option with expiry in two years. In my case the option is bermudan style with first 9 months w/o ability to exercise (i.e. European) and after exercise at any time (i.e. American), but I ...
2
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1answer
529 views

Will pricing a Bermudan option default to a value of a European option?

I have a call option with 2 expiry in two years. For the first 9 months I cannot excercise the option. After that the I can exercise at any time. I am pricing this option using a binomial tree using ...