Questions tagged [swaps]

SWAPs are a common name for exchange operations between two (or more) counter-parties with various financial instruments like cashflows (IRS), currency (XCCY), credit risk (CDS), et cetera

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4k views

Libor OIS basis swap equation

I'm a little embarrassed about this because I have a PhD in math, but I'm having a little trouble working out how to bootstrap an OIS curve from libor rates and basis swap rates. If I had an equation ...
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1answer
3k views

What is the difference between a recovery swap and a CDS?

As I understand it, recovery swaps and CDS are both used to provide hedging against the default risk of a loan. What is the difference between them?
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Fair swap rate of an amortizing swap

Recently I came across the problem of amortizing swaps. This is an agreement, where fixed payments and floating payments (e.g. 3-months LIBOR + spread) are exchanged based on a notional that is ...
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128 views

Python libraries for bloomberg?

I am very new with python, and I am used to work with bloomberg formulas for excel. I am starting to use a lot more python in my analysis, is there any library that performs same functions as bdp, bdh ...
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1answer
75 views

Inflation swaps rate vs. Break-even rate

Can someone explain me the difference between zero coupon inflation swap rate and breakeven rate? For example, currently, US 10y zero coupon inflation swap rate is about 1.4%, while US breakeven 10y ...
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82 views

Hedging with interest rate derivatives

This might be a stupid or basic concept for some of you, I'm new to the concept of hedging with interest rate derivatives, I understand how to hedge an equity portfolio but i'm struggling with the ...
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143 views

Recommended Instruments (and sources) for Constructing Money Market Yield Curves

What instruments are the current industry recommendations for constructing money-market yield curves in some major currencies? The switch after the crisis to multi-curve methods is well documented on ...
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1answer
186 views

relationship between notional amounts of volatility swaps and variance swaps

Taking volatility swap payoff as $$( \sigma_F - \sigma_S ) * volatility~notional $$ and Taking variance swap payoff as $$( \sigma_F^2 - \sigma_S^2 ) * variance~notional $$ I am trying to understand ...
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356 views

Transform a 3M FRA Rate to a 6M FRA Rate

I have a question whether it is possible to transform 3M FRA rates to 6M FRA rates without having any spreads available. Let's give an example: FRA 3M: FRA 1x4 FRA 2x5 FRA 3x6 FRA 4x7 FRA 5x8 FRA ...
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960 views

Why is the fair strike of a variance swap called implied volatility?

Probably an easy question for some, but I noticed most of my co-workers call the fair strike of a variance swap implied volatility. Why is that ?
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918 views

USD-Federal Funds for OIS swaps vs USD-Federal Funds for Basis swaps

Anyone knows why the OIS leg for basis swaps pays the average rate instead of the geometric average compounding rate as expected for a regular OIS swap leg?
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141 views

Swap rate calculation if reference rate differs from risk free rates

I want to find a swap rate, for an IRS where the floating is Libor+x bp where x is a constant. I have a risk free curve which is not the libor curve. I also have the libor rates. How can I calculate ...
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281 views

Dual discounted forward curve

I was wondering how to calculate the forward rates based on OIS discounting for the half year terms. I know how to do this for the full year terms -> just making sure that the two legs are equal to ...
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344 views

convexity adjustment for pricing mark to market (mtm) cross currency swap

may I know where the convexity adjustment is from and in practice, how is it usually calculated? is it coming from the correlation between fx and rates ? am I right that non-mtm cross currency swap ...
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109 views

What does **Long Call EURUSD** mean?

What does Long Call EURUSD mean? Does it mean Long Call EUR and Short Put USD? When we draw payoff do we consider only w.r.t. to CCY1 i.e. EUR in this case?
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176 views

Turning an amortising swaption into a normal swaption

Is there a way to enter a trading strategy in which the notional of the cashflows of an amortising swaption become all the same? For example, imagine the notional for the first four cashflows of an ...
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1k views

Collateralized / uncollateralized swap

Is a fully collateralized interest rate swap considered free of counterparty credit risk? Or close to risk free? Therefore discounted by the rate that best proxies the risk-free rate (which is the OIS-...
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251 views

Variance swap : ok for variance, but where's the square expectation?

Payout of a variance swap at maturity $T$ is proportional to $\left(\frac{252}{N} \sum_{i=0}^{N-1} R_i^2 \right) - \sigma_{\textrm{VS}}^2$ where $R_i \equiv \ln\left( \frac{S_{T_{i+1}}}{S_{T_i}} \...
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98 views

Why there is some inhomogeneous term in the PDE of fixed income

We consider one factor driving model of fixed income product say short-term interest $r(t)=\lim\limits_{T\rightarrow t} R(t,T),$ $R(t,T)$ is yield i.e $$B(t,T)e^{(T-t)R(t,T)} = 1$$ Then we see ...
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329 views

Valuation of a swap where both parties can cancel (not settle at market) with accrual method instead of present-value?

Consider a single-name total return swap (TRS) on some reference asset $S$. For concreteness, suppose the length of the contract is one year with quarterly resets, and the performance of $S$ is ...
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643 views

Using quantlib to price swaps with different payment and calculation resets for floating leg

I understand the VanillaSwap object assumes that payment and calculation resets are the same, so is there any way we could use quantlib to price a swap with different reset and calculation frequencies?...
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330 views

LMM & multiple curves

I was reading through a paper that attempted to present a theoretical explanation for the divergence in value of different LIBOR tenors (and thus for the use of different curves for different tenors). ...
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357 views

Swaption pricing

I am trying to understand the pricing of various types of swaptions. Suppose I have a swap that starts in 3 months time. How would I go about pricing a swaption on this swap in the following cases: ...
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2k views

Pricing of swaps

I have a (hopefully) elementary question about forex swaps. Most feeds will have a near and a far leg (or more legs for more exotic swaps). I appreciate that "buying the swap" involves locking in ...
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555 views

Modified Duration of Overnight Index Swaps

Is the modified duration of an overnight index swap zero or close to zero?
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753 views

What is the instantaneous P&L of a Variance Swap?

What is the instantaneous P&L of a variance swap. Is it $(\sigma^{2}_{t}-\sigma^{2}_{implied})dt$?
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Curve building for a swap

I'm a student learning how to build a swap curve, I've deposit 6m rate = 5%, fra 6-12m rate = 5.8% and 12m-18m rate= 6% and swap 2y =7% and 3y swap rate = 7.5%. I get the correct discount factors for ...
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152 views

Calculation cross-currency basis

I am trying to calculate cross-currency basis on the 3-month horizon for a certain set of currencies. The formula should be $ccb = F/S (1+y_{foreign currency}) - (1+y_{USD})$ where $y_{USD}$ is Libor ...
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269 views

What is the intuitive explanation for the spot risk in an FX swap?

I am familiar with FX swap and the basis/IR risk they carry. However, know that they have a very small spot risk component which arises from the present value of future cash flows different from the ...
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323 views

Valuing an interest rate swap using a par swaps curve?

I've worked through this problem already and was hoping for some feedback on my approach. The problem description is: You have a notional amount of 100 million paying fixed coupons of 8% annually for ...
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481 views

Value at Risk for a plain vanilla interest rate swap

Hello I have question regarding the computations of the Value at Risk for a plain vanilla interest rate swap (i.e. same currency and fixed-for-floating). I have a data set consisting of the Swap ...
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397 views

How do swap dealers make money from trading cancellable swap?

A fixed-rate payer (e.g. a swap dealer) of a cancellable swap pays more interest than he receives because he has the right to terminate the swap after a certain time if rates fall. What are the ...
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488 views

Sovereign bond CDS data

Does anyone know where I can download from historical data for sovereign bond CDS (credit default swaps) rates? preferebly free?
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Pricing Mark-to-Market Basis Cross Currency Swaps and Subsequently Constant Notional

Currently I'm working on my Master Thesis in Quant Finance in cooperation with a company. I would like to thank you very much for your time and help in advance! In my thesis I want to price Mark-to-...
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1answer
139 views

Determining discount factors for non-standard maturities

Let's say we'd like to find a par rate for a 1 month forward starting 20-year interest rate swap. In this case, we'd need to discount cash flows for the payment periods shifted +1 month from standard ...
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1answer
1k views

Constructing Swap Curve from LIBOR

Say I'm considering a long maturity fixed rate swap, for instance 20 years paid semi annually. Now I want to find the fixed rate for this hypothetical swap. I understand that this fixed rate is going ...
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180 views

Swap prices (preferably based on 3 month LIBOR)?

Where can I find a listing of forward swap rates based on libor. E.g. pricing on a swap of rates floating over 30 day libor for 3 year fixed, one year from now?
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1answer
530 views

Building curves using onshore or offshore JPY overnight rates?

I am trying to build Japanese Yen interest rate curves. When defining the curve instruments for the 'OIS' (discount) curve (aka TONAR), I am uncertain as to which rate to use for the overnight deposit ...
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35 views

Par rates, zero rates and forward rates curves in swaps

I'm new to the concept of swaps, I'm having hard time understanding what each curve relationship with a swap derivative traded in the market. Can someone please explain this? Thank you.
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Retrieve zero coupon curve from forwards

Let's suppose I am given a forward swap curve of a certain maturity (10Y). The curve is not very smooth and is decreasing but whatever. I have the curve : $S(0,t,t+T) = \frac{P(0,t) - P(0,t+T)}{\sum_{...
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USD OIS curve. Why is the the bid bigger than the ask for maturities > 7 years?

I was wondering why the bid is larger than the ask for maturities bigger than or equal to 7 years? If i export the screen to Excel i can see how the bid and ask swap rates are calculated. For the ...
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225 views

How to interpret DV01 in terms of PCA equivalent?

I have computed the PCs for daily changes in the UST yield curve over the last 5 years using the covariance matrix and can explain 94% of the variance using the first two components, which is good ...
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Convert Short rate from HW simulation into Swap rates

I am trying to price an exotic option that requires me to simulate 10 yr swap rates. I have calibrated a 1 factor HW model to swaption prices. However, my understanding is that the HW model describes ...
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211 views

Why is the SOFR par coupon rate trading higher than Fed funds?

SOFR is a 'secured rate' while the latter is not. Therefore, I would assume a 1y SOFR swap to trade at a lower par rate than a 1y fed funds overnight index swap. Any insights would be greatly ...
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2answers
982 views

Calculating Fx Swap from Cross Currency Swap

I am trying to calculate Fx Swap points of a currency pair from the corresponding Cross Currency Swap rate on the same maturity. I.e if I know that my USD/TRY 5Y rate is 16% and my USD/TRY spot rate ...
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172 views

Discount rate in IRS valuation

This might be a very basic question but I didn't find the answer in the materials I saw on Google. What is the interest rate used to compute the discounted cash flows for both the fixed and variable ...
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1k views

how to calculate forward delta (not spot delta) of a swap?

how could I calculate the forward delta of of a cross currency swap? Suppose I have a swap contract to exchange 1 mio USD with 66.15 mio INR, 3 months later, current Spot is 65.04, how can i ...
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Comparing Hedging Strategies

Say I am an American issuer, and I've issued some bond denominated in CAD. I've hedged the coupon by entering into an FX USD/CAD fixed for floating swap and I receive the fixed leg and pay floating, ...
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517 views

decompose correlation swap pnl

For a Variance swap we can split the pnl into a realized part and a "forward going" part. To be more precise: Assume we enter the trade at t0, and the variance swap has tenor T and a strike $Kvar$. ...
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257 views

CVA for an inflation linked swap

I am trying to value an inflation linked swap and wish to calculate the associated CVA and DVA. I think the best way to approach this would be via a simulation. Suppose I wish to calculate CVA over ...