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A rates model for EUR and USD pricing in different underlyings (EURIBOR (yes) or ESTR, and SOFR)

Being a house mainly focused on almost everything else that rates products we never had a "rates pricer", no surprise. The best connected to rates thing we have is an equity/fx/what have you ...
Olórin's user avatar
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Practical examples of pricing Mid-Curve Swaptions [duplicate]

Are there any books or papers that run through practical examples of Mid-Curve Swaption pricing, and their liquidity in the market? So I can match the theory to the practical. Thanks.
Algoman's user avatar
1 vote
1 answer
261 views

When to exercise a physical Bermudan swaption

I have seen a lot of literature regarding the valuation of physical Bermudan Swaptions. However, I could not find any answer to the following question: if you're a trader and an expiry date is ...
SPF531's user avatar
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Is $N(d_1)$ a good approximation that a swap enters in the money?

I'm looking for an easy method to approximate the probability of the forward swap rate that is implied by the swpation market. One possibility would be to fit a certain model, e.g. SABR, and extract ...
swissy's user avatar
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111 views

SabrSwaptionVolCube Class in Quantilib Python

Just noticed after upgrading to the most recent version of Quantlib Python that the class ql.SabrSwaptionVolCube is now available. This is a very useful class in that it behaves in very much the same ...
user35980's user avatar
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28 views

Can someone explain to me how volatility/premium works for ATM swaptions? Why are they the same for calls and puts? [duplicate]

I don't understand how Bloomberg quotes ATM swaptions, they just show the same volatility/premium and don't separate calls and puts. Are they the same? How does it tie to normal volatility? Thanks
OracleOdessa's user avatar
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Is it possible to estimate 'future zero curves' using Hull-White 1 factor model?

With regards to the following: https://www.mathworks.com/help/fininst/price-bermudan-swaptions-with-different-interest-rate-models.html It seems to me that the HW1 model is used to generate the ...
user160738's user avatar
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73 views

Pricing the embedded option in a callable floating rate note

From my understanding, I know that we can decompose a long callable bond into a long vanilla bond and short receiver swaption. However, I do not understand, how could I separate or calculate the ...
Fangy's user avatar
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1 answer
275 views

Gamma and Theta of a swaption

For a swaption, I had 2 questions: how would I guage the PnL based on RV vs IV on a swaption? I'm guessing its 0.5 x gamma x (RV^2-IV^2)(or realized variance - implied variance) Not 100% sure on ...
IJUT's user avatar
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257 views

How to interpret the implied vol for swaptions in a bachelier and black model and how forward pricing relates to it

I have two very simple question about the implied volatility of a swaption and how it relates to actual rates level. Suppose we have two famous models, Bachelier and Black. Under either model, the ...
swissy's user avatar
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Expiry of a midcurve swaption

Have a logical question - let me paint a picture. I have a 1y5y5y Midcurve Payer Swaption, and at Expiry the swaption is ITM (say the 5y5y rate is 4% and my strike is 3%). then 5 years after expiry (...
purr's user avatar
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2 votes
2 answers
736 views

How to understand wedge?

It is heard that trading wedges (cap/floor straddle - swaption) is actually trading the correlation btw forward rates. How to understand this? Either swaption or cap/floor seem to be insensitive to ...
JUW's user avatar
  • 51
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1 answer
83 views

How to find volatility of a 1 day option based on 2 day annualized volatility

first time -I'm curious as to how the following would work: I have a 2 day(only includes full day of Thursday and Friday) swaption with a volatility of 100 bps. We also know the weights we've assigned ...
purr's user avatar
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61 views

Why are LMM+ parameters becoming more unstable when using an inverted volatility term structure

I have an implementation of an LMM+ model (a shifted Libor Market Model with rebonato volatility function) and am seeing recently that the calibrated parameters are becoming more unstable over time; I ...
blah_crusader's user avatar
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1 answer
133 views

How to price PIK (paid-in-kind) coupon bond with option by the borrower to pay cash?

I'm trying to price a PIK coupon with an Embedded Option by the borrower to pay in cash. Without the Embedded Option, it is simply a zero-coupon bond paying Principal*(1 + coupon rate)^n at the end. ...
Andrei Sultanov's user avatar
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137 views

Call probability of a callable swap

For one call date, The call probability is just the probability that the swap rate for the remaining life of the swap is below the strike rate. This is easily obtainable in a normal vol model, it is : ...
Lrzo48's user avatar
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Valuation Adjustment for Bermudan Swaptions

Market quotes of Bermudan swaptions are generally lower than the prices implied by a term-structure model. As a result, banks typically have net long positions in Berms and various out-of-model ...
JUW's user avatar
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2 votes
2 answers
269 views

Workaround for Hull-White short rate model in market without swaptions

Every time I search calibration methods in short-rate models such as Hull-White, I always find information on how to do it with swaptions market data. Yet, I can't find anything about how to do it in ...
Oliver Mohr Bonometti's user avatar
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Validity of Bermudan Swaption's Price/Greeks

I'm implementing a lot of stochastic models on my own for fun and I'm quite puzzled about the usual procedure concerning the correctnes of Bermudan swaptions prices and greeks ? How can you tell that ...
Hilbert's user avatar
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1 answer
381 views

BLOOMBERG Strike vs Straddle Volatility

In Bloomberg's VCUB, what is the difference between the "strike" volatility and changing this option to "straddle"? It seems like the "straddle" vol should be the same as ...
Alex R's user avatar
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1 answer
446 views

From Implied volatility to shifted Black volatility

I don't know who to go from normal to shifted black volatility before calibrating SABR with negative interest rates. I see: "As we know that implied volatilities have a one-to-one relationship ...
Natan Kowalski's user avatar
3 votes
1 answer
331 views

Question about swaption premium quote on the bloomberg terminal

This is my first question here and I hope that my question is appropriate. I have some data about swaptions that are from the bloomberg terminal and basically I am performing a risk-neutral ...
Dilapidated Mattress's user avatar
1 vote
1 answer
224 views

Use the put-call parity to get the implied swap rate of a YoYIIS cap(floor)

Solved As pointed by @dm63 in the comments, the implied swap rate can be derived by solving the caplet (floorlet) formula for the the interest rate, where you set the formula equal to the Swap NPV (...
peanut_butter_from_the_tub's user avatar
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0 answers
161 views

Swaption risk bucketing

In the IR swaption market, we have 24Expire10Tenor instruments(like a 2410 Matrix). Now I have the Vega number for each instrument, and I want to reduce the matrix size with the same total vega risk. ...
Tian's user avatar
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1 answer
80 views

Swaption trade data elements

Can someone please list all the Swaption trade data elements. I am doing research and trying to ensure I document all key data elements of a Swaption trade.
Robert F's user avatar
1 vote
0 answers
90 views

Calibrating HW 1f model params to a term structure market data

I am using Quantlib to calibrate the HW model params to the market swaption price. The attached chart shows the performance of the calibration. Am I correct in saying, this is expected for the 1f HW ...
sumit_uk1's user avatar
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1 answer
61 views

Reconciling different specifications of drifts in the LMM

I've been going through the book "Fixed Income Securities" by Bruce Tuckman which gives the following definitions of the drift terms (after showing it for a specific example with 3 forward ...
Oscar's user avatar
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1 answer
171 views

Can I Delta hedge Swaption with 1month option expiry on 10 year swap as 1 month forward starting swap (expiry 10 yr) & notional as Delta% of swaption [closed]

Whether below is correct 1 month expiry of swaption with 10 year swap underlying can be delta hedged as with below swap: Notional of swap = delta% of swaption multiplied by notional of swaption As of ...
Rahul Jain's user avatar
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1 answer
163 views

Evaluating swaptions with negative interest rates

Does anyone know if it is possible to evaluate swaptions with negative interest rates with Quantlib? ...
Jorge Gisbert's user avatar
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0 answers
57 views

Unable to link volatility structure to swaption pricing engine

Good morning, I am trying to link the volatility surface to my swaption pricing engine. ...
Jorge Gisbert's user avatar
2 votes
0 answers
190 views

Bermudan Swaption Pricing via Least-Square Monte Carlo

I have some confusion regarding pricing a Bermudan Swaption using LSMC. Let's say the underlying swap has payment dates $T_0 < T_1 < \ldots < T_n$ and for simplicity, assuming the exercise ...
Fail Analysis's user avatar
1 vote
2 answers
4k views

Swaption ATM Vol Quotes and Interpretation: Normal Vol to Black

How do you interpret the time-series of 1m10y black vol vs normal vol? Normal vol would have you believe, that rate vol has since 2000 been low whereas black vol would show you a different picture. ...
nresiduums's user avatar
1 vote
1 answer
334 views

Carry on a USD 6m10y payer swaption

Trying to calcuate the carry on a 6m10y payer swaption. So far, I have used: carry = spot rate - libor Do I use the 6m LIBOR rate (0.15213%)? And do I just use the 10y yield for the spot rate (1.26)? ...
Jonny's user avatar
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2 votes
1 answer
998 views

Delta hedge swaption straddle

Let's say you decide to buy a 2Y10Y ATM swaption straddle (i.e. buy 10 million ATM payer swaption and buy 10 million ATM receiver swaption). In order to delta hedge, I believe you would short the ...
sn98's user avatar
  • 21
0 votes
1 answer
756 views

Sabr vs Heston for IR swaptions

Why is SABR considered the model of choice for swaptions? Is the Heston model not suitable? Does Heston produce unrealistic dynamics with respect to the swaption market?
memegame's user avatar
2 votes
1 answer
198 views

Swaption Terminology

What does 5y10y200 WC mean? Further, what does 2y10y WS mean? I know the first digit (5 or 2) means that the swaption starts in 5 or 2 years time, and the second digit shows how long the exchange ...
Jonathan Bush's user avatar
0 votes
0 answers
84 views

Swap Fly PnL Payoff Question

Stuck on this payoff question. What is the PnL on 5s10s30s on a swap fly 10k 01, where the fly moves 8 to 26bp? Any ideas would be much appreciated.
Jonathan Bush's user avatar
1 vote
1 answer
200 views

Free Arbitrage conditions in ATM swaption surfaces

I'm wondering how can we check free arbitrage conditions in ATM swaptions surfaces since we only have access to Expiry, Tenor and volatility? Can someone help me please, i didn't find any article ...
toto's user avatar
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1 vote
1 answer
2k views

What is the definition of "co-terminal swaptions"? why they are important in the calibration process?

could anyone help me understand the definition of "co-terminal" swaptions? What are they? Can you provide an example to illustrate? And why such instruments are important in model ...
pqsn's user avatar
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8 votes
1 answer
1k views

Bermudan Swaptions - Payer vs. Receiver (LGM)

There is abundant literature discussing the pricing of Bermudan swaptions and the relevance of single-factor Markov-functional models (e.g. LGM) versus multi-factor market models (e.g. LMM). From a ...
Quantuple's user avatar
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1 vote
2 answers
1k views

Calibrate Hull-white one factor model with swaption in analytical formula

I've been trying to calibrate Hull-white one factor model with swaption but I have a trouble making closed form solution of swaption Below is the part of paper I've been referencing to https://people....
SHyou's user avatar
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0 answers
222 views

Rebonatos's formula in C++

I'm trying to code in C++ Rebonato's formula for swaption volatilities $$ v_{\alpha,\beta}^2=\frac{1}{T_\alpha} \sum_{i,j=\alpha+1}^{\beta} \frac{w_i(0)w_j(0)F_i(0)F_j(0)}{S_{\alpha\beta}^2(0)}\rho_{i,...
Matteo Campagnoli's user avatar
2 votes
0 answers
249 views

Swaption extrapolation

I have some ATM swaption volatilities with the following characteristics: (-IBOR) payment frequency: 1M Underlying swap maturities (tail): 1Y, 2Y, 5Y, 10Y, 15Y and 20Y Swaption expiries: 1M, 3M, 6M, ...
user52816's user avatar
1 vote
0 answers
334 views

Greeks of caps,floors and swaptions

I will have an interview for a junior position as interest rates volatility trader. I would like ask you some questions about greeks of caps floors and swaptions. Are Caps vega positive? Are floors ...
Scpsc98's user avatar
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6 votes
3 answers
589 views

Trading desk assumes zero percent discount rate?

All the swaption and option models I have encountered at my employer's trading desks have assumed a zero percent discount rate. I have proposed using the LIBOR curve, but management responded that &...
CasusBelli's user avatar
0 votes
1 answer
958 views

Swaption on Forward-Starting Swap "Replication"?

Lately I was thinking about forward-starting swaptions vs. options on forward-starting swaps a bit, and I started wondering about the following: Suppose we are at time $T_0$ (today) and we want to ...
KevinT's user avatar
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1 vote
1 answer
259 views

Swaption decomposition - forward options and option on options

I am following through the book "An Introduction to Financial Derivatives" by Salih Neftci. According to the book, a swap can be decomposed into cash flows from forwards and options. I am ...
qxzsilver's user avatar
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8 votes
1 answer
3k views

Volatility adjustment for SOFR/OIS caplet referencing LIBOR vol

Suppose that today the price of a 3m LIBOR caplet with 6m expiry has been calibrated with a particular implied volatility. How would one go about thinking about an adjustment to that volatility to ...
Attack68's user avatar
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1 vote
2 answers
2k views

What are "greeks" in general for non-standard options (swaptions, capfloors, etc)

I know what greeks are for standard options: just take the derivative with respect to some parameter, like spot, time, rate, etc. But how does one calculate greeks for swaptions and capfloors? I was ...
NewYorkoo's user avatar
1 vote
0 answers
292 views

Hull white model calibration - constant mean reverse factor and sigma

I setup a HW 1F model using Monte Carlo simulation with constant mean reversion and volatility factors. When I calibrate to a series of swaptions ( 1x4yr;2x3yr;3x2yr;4x1yr),the last three swaption ...
marietta's user avatar