Questions tagged [interest-rate-swap]

An interest rate swap is a financial derivative where two parties exchange interest payments on a specified notional principal over a set period. One party pays a fixed rate, while the other pays a floating rate tied to a reference rate (e.g., LIBOR). These swaps help manage interest rate risk, hedge against rate fluctuations, and enable speculation on future rate changes.

Filter by
Sorted by
Tagged with
6 votes
5 answers
21k views

Carry calculation on an interest rate swap

I was hoping that I can get help on a simple yet not so straight forward topic : Looking at valuing the costs of holding an IRS in the books this would entail marketed-to-market due to price ...
user29352's user avatar
31 votes
2 answers
58k views

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 ...
rex's user avatar
  • 607
4 votes
2 answers
3k views

Swap curve construction

I am new to this area so my question might be basic to many but please answer. For valuing interest rate swaps how will we define which curve to take, like sometimes we use usd 3m curve, or usd 3mv 6m ...
Novice's user avatar
  • 115
14 votes
4 answers
7k views

What is the correct convexity adjustment for an Interest Rate Swap with unnatural reset lag?

I am looking at the valuation of an Interest Rate Swap (IRS thereafter) which is pretty much vanilla with one small tweak. Floating leg pays 3 months LIBOR in monthly intervals. To be precise: ...
jakub's user avatar
  • 331
8 votes
1 answer
15k views

interest rate swap: PV01 vs DV01

Bloomberg defines PV01 as PV of adding 1 bps on a fixed coupon , while 'DV01' as (down - up principal) / 2 * bps shift. The ...
gregV's user avatar
  • 147
4 votes
1 answer
4k views

What is Dual Curve Bootstrapping? And how to do it, with an example?

I am starting to explore this area. My ultimate aim is to build a 3 month LIBOR forward curve. I wish to know what exactly 'Dual Curve Bootstrapping' is (If someone could explain it in clear words). ...
Mathematician Joe's user avatar
4 votes
2 answers
844 views

Different types of swaps and generalized pricing structure - correlation swap, variance swap, volatility swap, gamma swap, etc

I am very new to derivatives pricing, and I am currently trying to learn these on my own. As far as I can tell, most of the derivatives that are simple (in the sense of having a constant strike that ...
qxzsilver's user avatar
  • 155
0 votes
3 answers
1k views

Fixed vs float swap interest rate risk

I have some technical questions about what are the best settings in Bloomberg to calculate the interest rate risk of a swap. When Bloomberg calculates the DV01, it simply bumps the par swap curve by +/...
Daniel's user avatar
  • 29
-1 votes
1 answer
332 views

How to value a long term interest rate swap if the floating leg is USD-LIBOR

To value an IRS, you require a spot/zero curve. If I am correct this zero curve will be the USD-LIBOR curve. However, if you have e.g. a 10-year swap that you are trying to value 2 months into the ...
Student's user avatar
  • 39
22 votes
4 answers
44k views

Difference between OIS Rate and Fed Funds Rate

I understand Fed Funds Rate is the rate at which banks lend/borrow to/from each other to maintain their daily reserve requirements at the Central Bank; also it is unsecured-meaning no collateral. Is ...
Preetam's user avatar
  • 221
10 votes
2 answers
9k views

Why using the swap curve as riskfree rate and no longer gov bonds?

I recently had an interview where I was asked what to use as risk-free rate. In all my textbooks it was always the US treasury yield curve. But they said no its now the "swap curve". Why is the swap ...
emcor's user avatar
  • 5,749
8 votes
1 answer
6k views

Use QuantLib Python to calculate Swap DV01

I would want to use QuantLib Python to calculate DV01 of an interest rate swap. Initially I was thinking of calculating the fixed leg DV01 and floating leg DV01 separately, then add both legs DV01 ...
lcheng's user avatar
  • 237
7 votes
1 answer
729 views

Transition to SOFR Swaps and single curve pricing

As in the US there is a push to replace IBOR based swaps with SOFR rate does that mean that SOFR swap pricing will return to using a single curve framework as LIBOR swaps did pre the financial crisis?
Skrrrrrtttt's user avatar
3 votes
3 answers
8k views

How to build a cross currency swap pricer?

We're looking to build a pricer to convert a funding spread in a given currency over a specific funding basis e.g. 20 bps EUR 3m€ and convert it to a funding spread to a different currency with a ...
Rob Taylor's user avatar
3 votes
4 answers
2k views

What is the relation between the USD Swaps Rates and US treasuries?

I asked this question HERE and redirected to https://quant.stackexchange.com I understand a swap rate is the fixed leg on a IRS (source), and a swap spread is the difference between a swap rate and ...
user3181821's user avatar
2 votes
2 answers
31k views

formula for physical DV01 of interest rate swap

Most answers to the question "what is the dv01 of an interest rate swap" are along the lines of: "compute the difference between the price of the swap and its price using a curve perturbed by 1 basis ...
chazz's user avatar
  • 21
1 vote
1 answer
146 views

Understanding how markets predict BoC's policy interest rate decisions

I read in the newspaper things like, Interest rate swaps, which are based on market expectations about future rate decisions, are pricing in at least one Bank of Canada rate cut later this year, and ...
ixodid's user avatar
  • 127
1 vote
2 answers
6k views

STIR topics: Implied FX-OIS Basis and FX Forward/Swap Pricing

if someone could provide some clarity on the below: What is meant by 'Implied FX-OIS Basis'? For example: "ON JPY trading at parity, 1W implied OIS basis moved 70BP" and "3M Implied OIS basis moved ...
justaboy's user avatar
1 vote
1 answer
6k views

Bloomberg terminal swap zero curve calculation

I would like to ask about swap zero curve calculation algorithm by Bloomberg terminal. This is a plain vanilla CZK interest rate swap, fixing the Prague IBOR. My task is to calculate zero rates from ...
PK1998's user avatar
  • 67
0 votes
2 answers
370 views

IRS - sensitivity to estimation (projection, coupon) curve and discounting curve

The mark to market of an interest swap that is close to zero (e.g., at the swap's inception) has more sensitivity to which curve - the estimation (projection, coupon) curve or the discount curve? And ...
gazab duniya's user avatar
29 votes
6 answers
58k views

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 ...
athos's user avatar
  • 2,211
10 votes
3 answers
983 views

LIBOR Cessation: Construction of Term-RFRs as LIBOR Fallbacks; Forward vs. Backward Looking

This question emerged from comments in this feed: OIS rate to build Term structure. I was wondering how the float leg of an IRS will look like in a post-LIBOR world. Assume the following time-line, ...
KevinT's user avatar
  • 645
7 votes
1 answer
2k views

SOFR Discount Curve Construction in Nov 2021

On July 29, 2021, the Alternative Reference Rates Committee (ARRC) formally recommended the forward-looking term rates based on SOFR published by the CME Group. CME currently publishes Term SOFR for ...
JoeBass's user avatar
  • 123
5 votes
2 answers
10k views

Calculating Cross Currency basis swaps

I am trying to calculate cross currency basis swaps for personal use. I generally understand what they are (essentially swapping one currency for another currency on a floating interest rate basis) ...
Richard Herrera's user avatar
4 votes
4 answers
5k views

IR Swaps - Curve sensitivity at maturity node

I was recently trying to price some IR swaps in BBG. I noticed that when I shock the yield curve up by 1bps at a single specific node, the DV01 is close to zero except at the node nearest the maturity....
user3365528's user avatar
4 votes
4 answers
9k 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 ...
user12348's user avatar
  • 1,688
4 votes
1 answer
1k views

Pricing interest rate swap in Ho Lee model

In Ho Lee model, assuming risk neutral probability is not exactly 0.5, would a change in the volatility of short-term rate affect the price of an interest rate swap? My intuition tells me no as ...
Larry's user avatar
  • 41
3 votes
3 answers
854 views

Convexity Adjustment of Daily Compounded Swap under Hull-White Model

I am working on a problem that deals OIS daily compounded swap under Hull-White 1-factor model. I am struggling with pricing the floating leg, on a delayed payment date: $E^{T^p}_t[\prod_{i=0}^{n-1} (...
Fail Analysis's user avatar
3 votes
1 answer
3k views

Calculate tenor wise DV01 of a Swap in Quantlib Python, i.e. Key-rate Duration

Is there a way I can get DV01 breakup of a Swap across different tenors of the deal in Quantlib-Python. The question asked here, follows the basic method of re-valuing the swap by shifting the curve ...
amitbisai's user avatar
3 votes
1 answer
3k views

How to compute forward swap rates?

I am trying to compute shocks on the forward swap rates based on shocks to the swap rate curve (aiming at repricing consistently a set of swaps and swaptions based on a shock to the swap curve): It ...
raptor22's user avatar
  • 578
3 votes
1 answer
627 views

Pricing of compounded swaps

As far as I understand, a compounded swap rolls up individual payments into one final payment which becomes: $$ V(t_n) = N \prod_{i = 0}^{n-1}(1 + d_i L_i)-N $$ where $d_i$ is the day fraction for ...
Confounded's user avatar
3 votes
2 answers
10k views

Mid-curve swaption

I would like to know how the mid-curve swaption could inform us about forward volatility. In my understanding it is a swaption on a forward starting swap. Let us say the midcurve swaption expires ...
Jiem's user avatar
  • 436
2 votes
1 answer
2k views

Forecast 3m LIBOR USD. Budget purpose

How can I calculate/budget/find a expectation for the 3 month LIBOR for the next 3monts-4 years? I am calculating a CF scenario on USD 3month Libor + margin. With swaps and fixed rate this is easy, ...
Petter S's user avatar
2 votes
0 answers
2k views

How Bloomberg calculates discount rates for zero rate curves?

I would like to ask about discount rates calculation algorithm by Bloomberg terminal. In the image above is possible to notice the discount rate for each term. The short end, instruments from 1 DY up ...
Sávio Brilhante's user avatar
2 votes
1 answer
458 views

carry and roll of an asset swap [closed]

I came across many interesting questions regarding carry and roll of swaps, bond futures and bonds. Now I found that link about the carry / roll of an asset swap. Reading that article two questions ...
swissy's user avatar
  • 147
2 votes
2 answers
1k views

Cross Currency Basis Swap

I understand that there exist a cross Currency Basis between euro and dollar of about 35 bps, which in my understanding can be arbitraged out by following principle of interest rate parity. However, ...
Kunal Jain's user avatar
1 vote
2 answers
374 views

Rationale for the CMS Spread and CMS Rate as being underlying for Dual Range Accrual?

I was searching on the products issued by the banks to retail investors, and saw some of the Dual Range Accruals having underlying as USD CMS 30Y - 2Y, and USD CMS 10Y, each having low barrier and ...
cycla's user avatar
  • 115
1 vote
2 answers
4k views

Bloomberg SWPM: Day count to calculate discount factor for US0003M

I'm trying to replicate price I get for CCIRS in SWPM. This is USD3m float vs RUB 1Y. Second leg doesn't matter for my question. Suppose today is 7th of Jan 2019, deal date. Settlement will happen on ...
Sasha M.'s user avatar
  • 166
1 vote
1 answer
148 views

Can PCA be used to transform a ladder of interest rate risk?

The context For traders/market makers on interest rate swaps desks, it is essential to have a model that transforms risk from its most complex representation (i.e. a ladder of every tenor) into a less ...
quanty's user avatar
  • 419
1 vote
1 answer
9k 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 ...
mickG's user avatar
  • 231
1 vote
1 answer
2k views

Swaption valuation across time using vcub

On Bloomberg one has access to the rates vol cube with the VCUB function. For a given currency, today, one sees Black implied volatilities for swaptions of various expiries and strikes, for forward ...
11house's user avatar
  • 93
0 votes
1 answer
2k views

Interest Rate Swap Delta ladder, under OIS Discounting

I've been looking on some information when it comes to vanilla Interest Rate Swaps, and building delta ladders under a multicurve environment. IR Swaps - Curve sensitivity at maturity node, this ...
Skrrrrrtttt's user avatar
0 votes
1 answer
2k views

Bootstrap daily OIS forward rate

Can someone please show me how to derive the daily OIS forward rate in a OIS-fixed rate swap? For example, if price a paying fixed rate/receiving OIS swap in Bloomberg SWPM, Bloomberg will be able ...
pqsn's user avatar
  • 49
0 votes
1 answer
524 views

Constructing a USD LIBOR curve

USD_LIBOR rates are only published up to 12 months. how would you approach constructing the curve to at least a 30-year tenor, to price for example an interest rate swap. I have heard that swaps can ...
Student's user avatar
  • 39
0 votes
1 answer
510 views

VaR on Interest Rate Swaps

I am a newbie and was after a simple explanation on how VaR is calculated for a portfolio of IRS's.
Andy's user avatar
  • 101
0 votes
2 answers
756 views

How to measure Steepener/Flattener/Butterfly sensitivity? (in 01)

This seems like a simple concept but I'm a bit lost. How can I calculate the dollar value sensitivity for a yield curve slope or butterfly position? I understand how DV01 can be calculated, but it ...
intern5ever's user avatar