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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3answers
4k views

Why does the valuation of the floating leg of a swap only use the next payment?

At time $t=0$, swap has zero cost. In fact, both parties may have valued the swap differently based on their zero swap curve-but somehow they agreed. Once a swap is agreed upon it cannot be dissolved ...
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1answer
685 views

Valuing the floating leg of a swap

Let $P_{t}(\pi)$ be the price at time t of a zero coupon bond with time to maturity $\pi$. Furthermore, let $f_{t}(\pi_1, \pi_2)$ be the forward rate that is earned over the time period $[\pi_1, \pi_2]...
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121 views

Multi objective optimization Swaption/Caplets joint Calibration

People suppose that we have a two asset type portfolio optimization (as Intrument Type 1 and 2). In the each portfolio refered by the instrument type there are 2 asset so we have four asset in total. ...
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2answers
123 views

Swap rates comparison

I'd like to compare the swap rates using OIS discounting $S_{a,b}^{OIS, 6M}$ and a swap rate $S_{a,b}$ not using OIS discounting: $$S_{a,b}^{OIS, 6M}=\sum_{a+1}^b L_{6M}(0,T_i,T_{i+6M})\times df^{OIS}...
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how to derive yield curve from interest rate swap?

According to some textbooks, to derive the yield curve, quote overnight to 1 week: rates from interbank money market deposit, 1 month to 1 year: LIBOR; 1 year to 7 years: Interest Rate Swap; 7 ...
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1answer
87 views

why swap rate not dependent on valuation date?

When I review my course on swaps, I read the following sentence: the value of the swap rate is independent of the valuation date(even though the PV's of the individual legs of the swap are clearly ...
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2answers
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Single currency basis swap Risk sensitivity

How do I concretely quantify the delta of a single currency basis swap (ex:3mv6m LIBOR) ? Would you look at the PV impact for every bps change in the 3v6 tenor basis spread ? Thanks in advance.
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3k views

Swap contract comparative advantage

Corporation $A$ has an excellent credit rating and can borrow at a fixed rate of $5\%$ or a floating rate of LIBOR + $1\%$. Corporation $B$ has a somewhat less excellent credit rating and can borrow ...
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0answers
54 views

cross currency swap expiry principal amount

Quick question on cross currency swaps. On expiry, principal payments are exchanged again. What happens when on expiry, the exchange rate is not the same as when the swap was first entered into? The ...
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0answers
216 views

Quantitative Strategy on Variance Swap (master thesis)

I am doing a master thesis on Variance Swap and my dear friend told me I could find some valuable help on the "Quantitative Finance Stack Exchange". I would like to apologise beforehand, if my ...
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1answer
416 views

Questions about Markit rates curve bootstrapping

I am reading the following two Markit documents concerning the bootstrapping of respectively the USD rates curve and the EUR, GBP, JPY, CHF, CAD, HKD, SGD, AUD and NZD rates curves. (Both versions are ...
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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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1answer
722 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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0answers
911 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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917 views

how to calculate the theta of a 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 could I calculate the theta of this deal?
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1answer
171 views

Does this trade have a name?

Ok so I got this idea, it's very simple so I know I'm not the only one who has thought about it. It is a pairs trade between long and short term treasury swaps, and goes as follows: Going by ...
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1answer
259 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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265 views

Variance Swap Vega

I am currently reading the paper of Derman and al for my master thesis on Variance Swap. At one point one says that "The variance vega is largest when the option is ATM", considering here a call ...
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217 views

Variance swap “fast” models

As far as I understand, Variance Swap (VS for short) function as follows : no payment when entering the contract at maturity the VS buyer pays a strike $K^2$ and is paid (by the VS seller) the ...
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1answer
323 views

Hedge variance swapping by vanilla option(constant vega portfolio against underlying asset)

One book said hedging variance swaps $$I= \sqrt{\dfrac{1}{t}\int^t_0\sigma^2(S,t)}d t$$ by vanilla option,say value $V(S,E;\...
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783 views

Spread over LIBOR on a Equity Swap

Does anyone how banks determine the spread over LIBOR on a Equity Swap? Example: Party A pays the return on SPTR to Party B Party B pays 1M LIBOR + 40 bps to Party A Does anyone know how the 40 ...
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1answer
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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1answer
474 views

Deltas and CC Basis Swaps

How do I calculate the dollar impact of basis change for a portfolio of cross currency basis swaps which hedged loans/bonds? I am thinking it might have something to do with delta and tenors but I ...
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1answer
445 views

Basis swap spread pricing and bootstrapping

Here is the expression of a basis floating versus floating swap where the first term is a forward CMS Swap leg and the second one is a forward BOR leg where X is the margin that would make equal both ...
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1answer
2k views

Interest Rate Swap DV01

thank you in advance anyways! I do have a question that drives me mad. How do i calculate the Swap DV01 for a Interest Rate Swap? I think for a bond i multiply the discounted cashflows times the ...
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1answer
179 views

Roll Convention for 7D Index

Any specific Roll Convention that I should use for Indexes with 7D tenor like CNY-CNREPOFIX=CFXS-Reuters or USD-SIFMA Municipal Swap Index ? What will be the Calculation Period Frequency or the ...
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1answer
581 views

How were OIS discount curves built before long-term OIS were liquid?

Many sources put the switch from LIBOR discounting to OIS discounting at some point in 2008, or perhaps a little earlier (the earliest I have seen is August 2007). It seems that this may be optimistic,...
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1answer
1k views

Swaption Trading

In most Banks, the Traders are provided with ATM Implied vols across different Swaption Expiry's and different Underlying Swap Maturities.(The ATM Implied Vol Cube) If the trader wants to trade an ...
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1answer
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QuantLib Python Swap Yield Curve Bootstrapping Dates and Maturities

This is somewhat related to the question I asked here but simpler. I am trying to bootstrap a yield curve from swaps, and am having a problem with the dates/maturities that are coming out. The code ...
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1answer
1k views

How to calculate fair 3s1s basis levels

How would one calculate the fair level of 3s1s single currency basis swaps using simply the 1m & 3m libors and ois levels? (so you have fra-ois spread levels in both) I understand that as the FRA-...
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1answer
189 views

What is mathematically rigorous way to estimate floating swap cash flow in the future?

In vanilla swap, the FL payments is fixed on one date and paid on the next reset date. So the next payment is known. However, the payment after that is not known. What would be the best estimate of ...
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“At-the-money Implied as a Robust Approximation of the Volatility Swap Rate.” [closed]

Does anyone know where to get this paper? Carr, Peter and R. Lee, January 2004, "At-the-money Implied as a Robust Approximation of the Volatility Swap Rate." On google scholar the paper appears to ...
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1answer
1k views

Why is the overnight index swaps considered risk-free?

What I have understood is that the overnight index swap is bootstrapped to discount rates/zero rates that in their turn are considered risk free. The reason being, that the reference rate of such swap ...
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How to get swap reporting data from repositories ICE and CME?

Bloomberg and DTCC both release swap reporting data in form of downloadable files which can be analyzed later on. I have been looking for the same on ICE and CME sites, but couldn't find. How can I ...
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1answer
501 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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1k views

Plain Vanilla Interest Rate Swap

I'm trying to build an intuitive understanding of the following The price of the replicating portfolio at time $t$ of the floating rate receiver is $P_t^{swap}=P_{t,t_0}-P_{t,t_N}-\bar{R}\sum_{n=1}^...
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Calculate interest rate swap curve from Eurodollar futures price

So I was reading Robert McDonald's "Derivatives Markets" and it says Eurodollar futures price can be used to obtain a strip of forward interest rates. We can then use this to obtain the implied ...
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3answers
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Why do FX Swaps have Interest Rate Risk?

I know that FX Swaps have FX Risk, but why do FX Swaps have Interest Rate Risk as well? Need some guidance on this.
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1answer
273 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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1answer
940 views

Swaptions to calculate swap exposure for CVA

I am looking at using the swaption method to calculate the EPE and ENE on a swap over its life, to use in CVA/DVA calculations. I have a number of questions, how well does this method work in ...
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1answer
238 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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3answers
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Cross Currency Swap pricing

I have seen two methods for calculating the value of a xccy swap - 1) Convert the future foreign payments to the base currency using forward FX rates, net with the base currency payments and ...
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1answer
118 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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0answers
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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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1answer
291 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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3answers
12k views

What is a Constant Maturity Swap (CMS) rate?

I have been searching in books and on the internet for a basic definition and explanation of CMS rates, but I cannot find anything clear and simple. Can you explain (maybe with an example) what a CMS ...
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1answer
580 views

Roll convention applied to weekend swap maturity date

Suppose a swap is booked with maturity on June 19, 2016 (which is a Sunday). Accruals are adjusted according to the modified following roll convention and follow U.S. holidays. For the last cashflow ...
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2answers
129 views

Why would one prefer variance swaps over other instruments?

I understand that an investor who has a view on an underlying's variance would be tempted by a variance swap. But why would one prefer such a contract over another instrument whose value is based on ...
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1answer
266 views

Equivalency of FX forwards and FX fixed for fixed swaps? Are they still the same under multiple curves environment?

I am encountering two approaches for valuation of FX swaps (fixed for fixed, e.g. fixed USD payments for fixed EUR payments) which seem to result into different values although in theory they should ...
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1answer
9k views

How to work out the forward outright price from the bid/ask quotes?

I'm facing this problem: Spot AUD/USD is quoted at 0.7634/39; six-months swaps are 112.1/111.1; at what forward outright rate can a price taker sell USD value spot/6 months? On the spot side, ...