Questions tagged [rates]

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16 votes
4 answers
41k 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 ...
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11 votes
1 answer
3k views

What do eigenvalues/eigenvectors of the yield/forward rates covariance matrices mean?

I have 5 bonds (with maturities 1,2,3,4,5 years) which I calculated the yield curve for 10 days. I also calculated the forward rates from the yield rates. Now I've been told to calculate the ...
  • 351
7 votes
3 answers
12k views

Why would a 6M LIBOR rate be significantly above 3M LIBOR, ED futures and swap rates?

Just was just looking at the various interest rates and noticed this: ...
  • 402
6 votes
1 answer
228 views

12-month rate calculation for Problem 4.23 in Hull's Options, Futures, and Other Derivatives

From Hull's Options, Futures, and Other Derivatives, 8th ed., problem 4.23: Excerpt from Problem 4.23 The cash prices of six-month and one-year Treasury bills are 94.0 and 89.0 ... Calculate the six-...
4 votes
1 answer
147 views

Australian banks funding

"Typically, Australian banks pay a small premium to swap foreign currency into Australian dollars. This premium is also referred to as the basis, which is the difference between the implied cost ...
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2 votes
2 answers
4k views

Why are FRA/futures convexity adjustments necessary?

This would be my explanation for the reason that convexity adjustments must exist: Futures are margined daily, such that if a trader is paid a future and rates goes up then money is paid into their ...
  • 409
2 votes
3 answers
274 views

Attribute P&L to PCA vectors (swaps)

I have a daily US swaps data here for 2020 https://easyupload.io/yh4rnd . I have run PCA on standardized data and got PCA matrix (and basic statistics): I also have such hypothetical portfolio that ...
  • 21
2 votes
2 answers
930 views

Why AREN'T forward rates what the market expects of the spot rates?

I know that for a swap for example, the swap rate is just what adopts equilibrium for both legs by no arbitrage, on the other hand for a FRA its just the same only with one period of time. Considering ...
2 votes
3 answers
838 views

Are forward rates for an IRS computed between reset dates or between start dates?

In order to price the floating leg of an IRS I am computing forward rates for future coupons, but I'm not sure whether I have to compute such rates between reset dates or between start dates. My ...
2 votes
1 answer
1k views

Implementation of the Hull and White short rate model

This is the first time I'm using quantlib, and I wanted to compare the velocity of quantlib with my own Python code. I found a tutorial about Hull and White to generate the short rate paths with ...
2 votes
2 answers
512 views

How to choose the correct ticker for rates?

I would like to calculate funding liquidity following Asness/Moskowitz/Pedersen (2013). Among others, they calculate the LIBOR minus term repo rate, and the Swap-T-bill, LIBOR minus interest rate ...
2 votes
1 answer
383 views

Is inverted Japanese style curve persistent when negative rates are real / market - observed?

Are the inverted (Japanese style) governmental yield curves being a sign a recession/credit risk or should they be modelled as being due to a lack of liquidity? (...with such curves evolving into a ...
2 votes
0 answers
85 views

How do traders determine when points in a yield curve are at 'fair value'?

While on my last day on an internship last summer, I heard on the morning call a UK rates trader say something along the lines of: "Most of the curve is at fair value at the moment, so nothing ...
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1 vote
3 answers
283 views

Can you model the LIBOR rate as a geometric Brownian motion?

i.e. The LIBOR rate is driven in the same way as a stock price in the Black Scholes model. For example let $R_t$ denote the LIBOR rate at time t. the stochastic differential equation (sde) would take ...
  • 31
1 vote
1 answer
156 views

Why is the formula for the 5y5y inflation swap forward on bloomberg 2*USSWIT10 Curncy-USSWIT5 Curncy

If USSWIT10 Curncy is the expected average inflation for ten years and the USSWIT5 Curncy is the expected average inflation for five years, I don't know why that formula would tell me what the ...
1 vote
1 answer
275 views

Difference between ED futures and ZCB

I am new to rates and learning the basic products. It seems to me that Eurodollar contracts are similar to zero coupon bonds except that it locks in the interest. So I want to clarify if I am ...
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1 vote
1 answer
259 views

Quantlib HW 1f model calibration not fitting to market normal vol quotes

I am using Quantlib python to calibrate HW 1f model parameters from normal swaption vols quoted in the market (following the code in the cookbook - I fit both the mean-reversion & vol to market ...
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1 vote
1 answer
173 views

How to change the Libor rate to Forward Libor rate in Swap?

The realised PV of a swap (notional is 1 ) is : $Swap(t)=\sum^n_{i=1} \tau_i \times D(t,Ti) \times (L(Ti, Ti, Ti+ \tau_i) - K)$ How do we get the expression with forward rate : $Swap(t)=\sum^n_{i=1}...
  • 15
1 vote
3 answers
2k views

Calculating FRA rates

Let's assume I constructed usd libor 3M curve setting 1M rate=3M rate (so the curve is flat between 1M-3M). Will 1x4 FRA rates be good if calculated from such curve?
1 vote
1 answer
103 views

Banks' use of repo to finance operations

"Dealers typically use repo to fund both their cash Treasury positions and their lending to clients through Treasury reverse repos. Thus, the ability and willingness to engage in repo, which ...
  • 341
1 vote
1 answer
496 views

What happened to future price if rates become negative?

Imagine the spot price of a non deliverable and not paying dividend asset is 100\$. With positive rate, the theoretical formula $F = S \cdot e^{rT}$ give us a future price higher, let's say 105. If ...
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1 vote
1 answer
71 views

Interest rate model with external variables

There are several well-known one-factor interest rate models: Hull-White, Ho-Lee and Black-Derman-Toy just to name a few. There are also multi-factor models such as Longstaff-Schwartz and Chen. But ...
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1 vote
1 answer
10k views

What does it mean to pay USD FRA-OIS?

Would just like to check my understanding. If I were to pay USD FRA-OIS, does it mean I'm paying the OIS leg and receiving fixed? And the fixed is because the 3mL is fixed at the start of the period/...
1 vote
0 answers
45 views

Time step in Hull white mean reverting model

Specially for mean reverting processes for interest rate simulation. Is it acceptable to directly simulate the paths at say 1 month horizon without stepping through time? Please advice.
1 vote
0 answers
71 views

Is the Australian 3 Month BBSW rate annualised? [closed]

I am looking at the 3 month BBSW reference rate and not sure if this is annualised. I understand for example, some of the LIBOR rates are annualised.
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1 vote
0 answers
417 views

Constructing USD 1M Libor Forward Curve

Hope you are doing fine. I am pricing a 1month IRS. For that purpose in order tu build the forward curve i have to use the following. Since USD 1m instruments do not exist, one has to use basis ...
1 vote
0 answers
2k views

Why is the annuity factor proportional to the CV01?

For an asset with par amount of one unit (with a semiannual payment regime) we have $$\frac{C(T)}{2}\sum_{t=1}^{2T}d\Big(\frac{t}{2}\Big) + d(T) = 1$$ $$\implies\frac{C(T)}{2}A(T) + d(T) = 1,$$ ...
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1 vote
0 answers
329 views

How to compute SABR's probability density function

I am trying to compute the probability density function of the forward rate implied by the SABR formula approximation in order to see how the density implied by the approximation has negative ...
  • 463
1 vote
0 answers
45 views

Model for target zone exchange rates

I just found a stochastic model for target zone exchange rates $x_{t+1}=x_t+k+r(x_t-y)+ \tilde{\epsilon}$ where k is a drift term so equal $r-r_f$ r is lean againt the wind coefficient that ...
1 vote
0 answers
69 views

Is there a reliable International Currency Exchange rates provider in JSON format

I am looking for a currency exchange rate provider (preferrably) JSON format , that is free/open and also reliable. Anybody here have any experiences working with some solutions like this? Cheers!!
1 vote
0 answers
154 views

Moody's seasoned corporate bond yields

The Fed publishes Moody's seasoned corporate bond yields here. These yields are not broken out by maturity. According to this website, the yields represent "long-term" bonds, with minimum and ...
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1 vote
0 answers
64 views

Should portfolio be optimized by marking to the future than marking to market (excluding currencies)?

Observing the negative interest bonds in Switzerland, Denmark, GErmany the value of higher presently (credit-free) outgoing cash flows seems less important than the value of lower future (credit-free) ...
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0 votes
2 answers
112 views

US overnight swaps (OIS)

Can you please confirm if the underlying rate of US overnight indexed swaps is SOFR or Fed funds?
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0 votes
1 answer
97 views

Difference between US FED interest on reserve and EFFR?

Can anyone explain the difference between THE US Federal reserve interest on reserve balances (IRRBIOER) and effective fed funds rate (EFFR)? IRRBIOER is currently at 0.9% and EFFR 0.83%. There seems ...
  • 507
0 votes
1 answer
104 views

Heath Jarrow Morton Framework

Can someone please explain Heath Jarrow Morton framework ? Why do we use it ? I understand the logic between equilibrium models and no arbitrage models but i'm struggling to understand the added value ...
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0 votes
1 answer
141 views

Real rates expectations

What are the drivers of real rates? Nominal = real rates + breakevens breakeven = inflation expectations and what about real rates = ?
0 votes
1 answer
54 views

How to interpret negative fixed rate in Vanilla IRS [closed]

Currently a vanilla 4Y EUR vs. 6M Euribor IRS has a negative price e.g. -0.35%. I do not understand how to interpret the swap when the fixed rate is negative. If I am the fixed rate payer in this swap ...
0 votes
1 answer
96 views

Euro short-term rate (€STR) question

Based on the latest data published by ECB,€STR = -0.56%. Is this the rate a bank would pay to borrow overnight or it's an annualised overnight rate so the actual overnight rate can be approximated ...
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0 votes
1 answer
209 views

Why do increasing spot rates have to be equal to or larger than the corresponding par rates?

Definitions Spot rate: the interest rate applied to a given spot investment to be repaid at maturity, as a single cash flow. Par rate: the interest rate such that the PV of the cash flows (lets say ...
  • 409
0 votes
1 answer
131 views

How are the notionals on proceeds-weighted bond butterflies calculated?

Most LDI (Liability-Driven Investment) accounts construct bond butterfly (fly) trades by weighting them according to proceeds. This creates two constraints: The fly is duration-neutral (the usual ...
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0 votes
1 answer
149 views

Can you determine USD swap rate movement probability from OTM swaption premiums?

E.g., the USD 1y x 4y swap rate is currently 2.84%. ATM receiver swaption , European exercise is currently at ATM premium of 1.15% while swaption premium at strike 1.5% is 0.15% or about 90% lower ...
0 votes
2 answers
107 views

returns of Bonds and exchange rates

which are the best distributions in order to model the bonds and exchange rate returns distributions. I am searching for a distribution such as the log-normal one of the stocks ( N(m-0.5*v),Sqrt[v])
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0 votes
1 answer
57 views

Convexity adjustment for futures/FRA under T+D measure

In an internal document in my company, the convexity adjustment for Futures is defined as: where and P(0,T+D) is the ZC bond maturity at T+D. I don't understand why is not equal to 1 as I thought ...
0 votes
0 answers
26 views

Rates:How can you tell what is priced in at the next BOE meeting [duplicate]

Good Afternoon, What do I need to look at instrument or curve to see what the market has priced in for Bank of England base rates ahead of a future meeting date? Thanks
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0 votes
0 answers
58 views

How do you identify nondeliverable swap

what is unique about NDS transactions, how can I identify them using certain parameters or attributes specific to NDS?
0 votes
0 answers
60 views

How to calculate spot rate for maturity which does not have a zero-coupon bond?

How do I calculate zero-coupon yields for a maturity which does not have an equivalent zero-coupon bond? For instance, let's say we have this spot rate curve: t0.5=1% t1=2% And a bond which has a ...
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0 votes
0 answers
51 views

Rates arbitrage - practical trade example, is it actually risk free or can it burn?

The trade: Imagine a bank balance sheet as follows: One liability: GBP 100m deposit fixed term 6 month One asset: JPY 153m government bond maturing in 1 year (£100m equivalent, spot rate 153) ...
  • 507
0 votes
0 answers
93 views

Hedging Curve Risk with Futures

Please help confirm/correct my understanding of hedging curve risk using futures. For example, if I purchased a 9y bond and hedged the duration risk (parallel shift) by shorting 10y treasury futures ...
0 votes
0 answers
62 views

Market pricing of forward US Treasury rates

What instrument(s) are used for forward pricing of US Treasuries? I know that Eurodollar futures are used for the market pricing of Libor in the future, but treasury futures only have contracts 3 ...
  • 1
0 votes
0 answers
38 views

Determining rate of interest

If I have trade prices of 10Y futures contract (ZNH6) is it possible to derive the interest rate from it? Or is there a better way to obtain historical 10 year rates?