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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1answer
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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479 views

ACT/360 day convention in swap pricing

The floating leg of a USD swap has present value $$ PV = \sum_{i=1}^N \delta_i f_i p^d(t_i) $$ where the $\{t_i\}$ are the floating leg payment dates, $\delta_i$ is the accrual fraction between $t_{...
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116 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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1answer
251 views

Is the value of fixed swap leg independent of X, where the Floating Rate is say, LIBOR minus X%?

In my texts of swap valuation, the fixed leg is decided by calculating the following equation, say for a swap agreement where: Fixed Leg : $s(1)=s(t)$ Floating Leg : 1 year LIBOR - 25bps Term = 2 ...
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432 views

If floating leg in an arrears swap is paid on the date then valuing them is like predicting future

From what I am reading arrears swap are paid on the same day(actually, +2 business days for JPY and USD) as the reset date. To me then, a week before the reset date the floating rate is not known. ...
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1answer
135 views

Pricing homogeneous Basket Default Swap

Consider a basket with $K=10$ names. Default times of the names, $\tau_k$, are i.i.d. random variables with distribution $P(\tau_k \leq t) = 1 - e^{-\lambda t}$. Suppose that each name in the basket ...
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1answer
489 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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671 views

Something is wrong with my MtM calculation

I'm trying to value a super simple receiver swap immediately after the first swap settlement (1 year in). The given answer is -1.91 million to the floating rate payer, but I am not coming up with ...
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1answer
407 views

Swaption on a swap with 0 year tenor

Any ideas on valuation of IRS swaption on a swap with 0 year tenor? As an example, we have a 5 year swaption, on expiration it is cash settled; the underlying swap tenor is 0 years with excercise and ...
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1answer
3k views

Swap Rate vs Par Rate

If we calculate the par rate for n periods, why does the nth swap rate equal the par rate? A mathematical formulation would be helpful apart from an intuitive answer. Edit: Example:- A 2 year ...
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1answer
912 views

Quantlib bootstraping fails on 5y swap

I'm trying to build a euro swap curve with real up to date data. I should say that examples provided in github work fine. as soon as I add the 5y swap, I got the following error : ...
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2answers
448 views

How to value non-libor swaps (not basis swaps)?

What discount curve should be used for a swap with a fixed leg and variable leg, where the variable leg is based on rate other than Libor (in my case 1-year deposit rate). Hull (5th edition, page 595) ...
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243 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 ...
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2answers
157 views

How to calculate cash flow for XC swap

Given 3MLibor vs 12MLibor USD basis swap the 3M Libor is exchanged at 12MLibor+1%. How to calculate the cash flow
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Why QuantLib computes the fixed-leg swap rate by this formula?

I'm trying to understand how QuantLib creates (bootstraps) a yield curve from a vanilla swap at the source level. I have the following test code: ...
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408 views

OIS & LIBOR swap

Why do people use OIS and LIBOR swap spread to compare/value bonds/derivatives? Why not just use US treasury?
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921 views

Derive OIS rate from IRS rate and Fed Funds/Libor basis spread

For example I have 7Y interest rate swap rate and 7Y Fed funds/Libor basis spread. What is the step-by-step procedure to derive OIS rate from these two?
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1answer
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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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337 views

Girsanov theorem in CMS convexity derivation

I am going through the derivation of CMS convexity from the notes of Lesniewski There is a transformation from $T_p$ forward measure to annuity measure $Q$ as $$ P(0,T_p)E^{Q_{T_p}}\left[S(T_0,T)\...
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What is a standard credit default swap contract and where can I find spread data? What alternatives exist to judge creditworthiness?

I'm doing some work for a company and one of my tasks is to research credit default swaps on banks and to write a page about them explaining what they are and how they're used to evaluate the banks' ...
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1answer
519 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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1answer
5k views

Stub rate and first fixing in IRS

I have 2 questions that probably are related. Suppose there is an IRS that pays a 2% fixed rate every 6 months and receives the Libor 3 months (but paid every 6 months). The swap starts today (March ...
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1answer
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What is a Basis Swap Curve?

I know what a Swap Curve is. But I don't understand what a Basis Swap Curve is and how it is constructed? Need some guidance on this.
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negative discount and zero rate on swap bootstraping

Hi I am writing a program to Bootstrap a EURO zero swap-curve for tenor 3M and 6M with given bid and ask. When I run the program , I get a negative zero rate and discount factor from 5Y till 30Y for ...
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Variance Swap volatility

In an article, it is mentioned that a parameter is "the variance swap volatility at time t". I know what a variance swap is but I don't know what they could mean by "variance swap volatility". ...
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Using Forward Equity Returns to Value Stream of Equity Return Cash Flows

Can I value the equity leg of an equity swap using the projected forward equity returns? In other words, for a sequence of times $t_{0}<t_{1}<\ldots<t_{n}$, where $t_{0}$ begins a brand new ...
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1answer
616 views

How can we write swap as a chain of FRA's

For the rest of my question I use the notation from Brigo. The discounted payoff of a receiver interest rate swap (RFS) at $t<T_{\alpha}$, where $T_{\alpha}$ is the first resetting date, is given ...
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2answers
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Curve Euribor - Euribor 3M

I'm setting up some Euribor 6M and Euribor 3M curves. So far i have all the data and quotes i need, but i'm having trouble defining the firsts points of the curve. I'm currently using 6M Euribor and ...
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Why is “full” Yield Curve (term structure of interest rates) 3 component based?

I am trying to understand bond-valuation and construction of yield curve. I don't have any exposure to bootstrapping or what-so-ever as of now. So it's appreciated to have an example but not too ...
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Incoherence in Bloomberg Data in Swap Curve Builder (ICSV)

When working on calibration for LMM model, we need to have Initial Libor quotes and Swaptions Black vol quotes on the market data. We have data provided by Bloomberg. However, before performing the ...
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What is the Swap Curve?

What is the so-called Swap Curve, and how does it relate to the Zero Curve (or spot yield curve)? Does it only refer to a curve of swap rates versus maturities found in the market? Or is it a swap ...
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Who is the issuer and the counter part of this instrument?

I have the following SWAP contract : T1UH4 which is a 2-Year Deliverable Interest Rate Swap. Product info : http://www.cmegroup.com/trading/interest-rates/deliverable-swaps/2-year-deliverable-...
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Hedging a Long Equity Swap by Shorting the Stock

Suppose that I enter an Equity Swap, such that I pay a floating rate and I receive the equity return. The payment is every one year for both the rate and the return, and the swap expires in one year. ...
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IMM Swaps vs. Forward Swaps

Could we think of IMM dated swaps as forward swaps (since they trade only on specified dates and they might not be the current date)? For example, today is June 2nd, the next IMM swap is June 14 (not ...
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Why is USD LIBOR used for USD denominated securities?

I am just starting on Interest Rate Swaps & curve construction. While reading few materials on Interest Rate Swap, it's indicated for e.g. "Floating Coupon Index: 6 month USD LIBOR". LIBOR is ...
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How do insurance companies use interest-rate swaps?

I have heard that insurance companies make use of swaps and am just trying to get some clarity on that: An insurance company (assume life insurance) has a fixed obligation to pay in the distant ...
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Is this an inconsistency between Swap and LIBOR?

I'm a little confused by what I see as an inconsistency between quoted £ swap rates and £ LIBOR. From the FT on 25/4/14: 1-year Swap (semi-annual): Bid - $0.63\%$; Ask - $0.66\%$ LIBOR: 6-month - $R_{...
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Valuing Total Return Swaps

In my quest for simulated data, I am trying to generate prices for Total Return Swaps by calculating the NPVs of the fixed and floating leg. My problem: Given the fixed leg, how do I set the spread on ...
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1answer
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Why is the discount function non increasing if pure cash holdings are feasible?

I am struggeling with the question, for example lets take a swap with rate of 3.2 for one year and 3.6 for 2 years and Discount Factor 0.96899 for the first year and 0.93158 for the second year. ...
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Can you hedge a derivative with a CASH|spot product or does it have to be another derivative instrument

Consider you have a SWAP (any kind) to hedge this SWAP, you will most likely use another Derivative,but can you use a cash|spot product to hedge this. Like Cash Equity or FX Spot
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533 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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1answer
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What is the difference between a recovery swap and a CDS?

As I understand it, recovery swaps and CDS are both used to privide hedging against the default risk of a loan. What is the difference between them?
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Matlab; How to specify Coupon frequency for Interest Rate Swap

I'm trying to price an interest rate swap and would like to change the default coupon payment frequency from 1 a year to 2 or 4 a year. I'm using ...
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Convexity adjustment for a forward swap rate

I recently heard that for a forward swap rate (for example, the fixed rate of a swap that will start in one year and end in five years), I need to do a convexity adjustment in order to get the right ...
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2answers
738 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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Cross Currency Swap Pricing in nowadays environment

Multicurve setting has now become the new paradigm for vanilla swap valuation. For the record I give here (without getting into too much details) the methodoloy for pricing Euribor3M swaps in this ...
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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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How to hedge the fixed leg of a swap contract?

I happened to get this question for Fixed Income Swap contract. (let's assume it's it's not cross currency). If the fixed leg is paying 10% interest rate in this contract, but in the market the ...
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1answer
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Why might a manager consider using an interest-rate in which the notional principal amount declines over time?

Say swap would be used to convert the payments of its portfolio of fixed-rate residential mortgage loans into a floating payment. Why might a manager consider using an interest-rate in which the ...
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How to calculate cf and interest accruals of the swap?

How to calculate to calculate daily interest accruals and cashflows for the full term of the swap, given notional, effective date, maturity date: (total one year), accrual: ACT/360 payment: semi-...