Questions tagged [libor]

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2
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1answer
60 views

What is time 0 price of Libor starting t for the period $t$ to $t+\delta t$

I was asked this in an interview. The correct answer, I was told, follow from this argument Let $L_0[0,t]$ denote the time 0 price of Libor for period $0$ to $t$. Let $L_0[t,t+\delta_t]$ denote the ...
2
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3answers
231 views

Arbitrage on Libor and swap market

I must be wrong here, but still want to know where I am wrong. I found the data of Libor rate and swap rate from this link: http://www.interestrateswapstoday.com/libor-rates.html At the time, I read ...
1
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2answers
7k views

A libor curve VS A 3-month or 6-month libor curve

I'm very confused about the terms regarding libor curves in general. When people talk about libor curve, I picture it as a curve with different libor maturities (i.e. 1 week, 1 month, 3-month and 6-...
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3answers
195 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 ...
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4answers
966 views

Exploding Libor Rates in Libor Market Model

I have implemented the Libor Market Model in Matlab. When I generate a number of paths, I notice that some of them explode. Does anybody have an idea what could cause this? I already tried solving ...
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2answers
725 views

Properly interpreting LIBOR curves?

I have a confusion regarding LIBOR curves. I understand what LIBOR means, but what exactly is meant by a LIBOR curve? I would imagine a curve where on the x-axis is time and y-axis the 6-month LIBOR ...
1
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1answer
65 views

How to do simultaneous dual curve bootstrapping?

I wish to understand how dual curve bootstrapping is done? Lets say we want to bootstrap FF OIS curve and Libor 3 month fwd curve simultaneously. Lets also assume we don't LIBOR-OIS basis swap rates ...
1
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1answer
1k views

forward vs spot simply-compounded spot interest rate

Question about forward vs spot simply-compounded spot interest rate.Some definitions $P(a,b)$ a zero coupond price at time $a$ and maturity $b$ $L(a,b)$ simply compounded spot interest rate set at ...
1
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1answer
243 views

Dynamics of LIBOR foward rate under T-forward measure

Assume that under the physical measure $\mathbb{P}$ we have for the LIBOR forward rate $L(t):=L(t;S,T) = \frac{1}{T-S}\left(\frac{P(t,S)}{P(t,T)}-1\right)$ that $$ \mathrm{d}L(t) = L(t)\left(\mu(t)\...
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1answer
802 views

Is LIBOR a spot rate?

Can we use USD LIBOR as spot rates for discounting? If we have overnight LIBOR and say 1 month LIBOR how to compute 16 day LIBOR? Can we do interpolation?
1
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1answer
193 views

Why change numeraire for the LIBOR Market Model

There are two form of LIBOR Market Model that has a drift introduced. I would like to know in plain english explanation why do practitioners use these changes of measure. Are there any significance to ...
1
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2answers
90 views

TED Spread Replacement?

Will replacing the 3-month tenor of the US LIBOR with SOFR or CME 3-Month SOFR Futures work as well as an indicator of credit risk? I have my doubts given: SOFR reflects secured lending LIBOR is ...
1
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1answer
78 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}...
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2answers
194 views

Libor Forwards from Swaps

I am trying to understand how to interpret a few forward curves that I grabbed from Bloomberg. In Bloomberg, you use ICSV command and choose the USD to Libor swap curve. I did this and grabbed the 1mo,...
1
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1answer
363 views

Normal Libor Market Model

Is anybody using normal Libor Market Model (LMM) (as opposed to shifted lognormal LMM)? It could be one of the approaches to dealing with negative rates. If you do, have you encountered any ...
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1answer
222 views

One week LIBOR?

Are there any commonly traded instruments that would allow one to bootstrap a one week LIBOR curve? If not, is there some alternate way to value forward starting swaps with a short first period that ...
1
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1answer
221 views

LIBOR Market Model implementation in R

Does anyone know an available LIBOR market model implementation in R? It should not be too sophisticated, as this is a smaller task of a larger work. I am rather thinking about a similar ...
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1answer
72 views

Why is LIBOR rate smoother than the US treasury rate?

Compare the daily rate graphs of LIBOR and US Treasury bill, the former is a lot smoother than the latter. Is there any reason for this?
1
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1answer
256 views

Floating leg of a standard swap still has a value at par when we use the OIS as discount factor?

Does a bond paying floating coupon LIBOR, still has the value at par when we use the OIS as discount factor? It seems only when ...
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1answer
9k 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/...
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0answers
48 views

Accrued interest calculation for floaters linked to O/N rates (such as SOFR)

It is known that between 2021 and 2022, LIBOR rates will cease to exist. Therefore bond issuers started to link their newly issued floaters to O/N rates based on actual trades such as SOFR for USD or €...
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0answers
39 views

90 day SOFR market rate to equivalent 3M Libor rate conversion

I am trying to convert a 90 day SOFR market rate into a fair equivalent 3 month Libor rate. I understand since SOFR is by nature an in-arrears backwards looking rate, so for SOFR instruments such as a ...
1
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1answer
120 views

Estimation of LIBOR 3M periods if the period is not exactly 3M months

When generating dates of interest rate swaps, even without stub periods, we sometimes end up with periods that are less than 3 months (say 87 day). In that case do we have to apply any kind of ...
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2answers
400 views

From Libor Curve rates to “forward” zero-coupons

I am provided a 6M euribor curve, constructed from FRA's and swaps of tenor 6M on the euro, as well an EONIA curve, constructed from zero-coupons EONIA swaps. Both curves are provided as functions $d\...
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0answers
46 views

Analyse correlation between LIBOR (quote in yield) and MSCI AC World (in dollars)

How would you analyse the correlation between LIBOR and MXWD? My initial intention was to get the log return of MXWD and take the opposite of the log return of the LIBOR yield (because when yield ...
1
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1answer
536 views

LIBOR 3M and 1M from Vasicek model

I would like to discuss my approach toward modelling of interest rates with respect to its downsides and advantages. My problem is to forecast daily LIBOR 3M and LIBOR 1M over a particular time ...
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1answer
6k 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
67 views

Splitting a spot swap into a forward swap and a 3 month libor

I read the following statement: We can construct a 5 year swap using 3 month libor combined with a 3mo-4.75yr forward swap, weighted by the dv01s of each part. I am not sure I understand how this ...
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1answer
222 views

LIBOR Curve bootstrapping and compounding

I am currently reading about swap pricing based on using the LIBOR curve to calculate spot rates, forward rates, and discount rates. From what I understand LIBOR is quoted as a simple interest rate ...
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1answer
2k 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 ...
0
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1answer
272 views

How do I value uncollaterised swaps?

Do I need to discount using the OIS curve? Then add some sort of FVA adjustment over and above the CVA/DVA? How do I work out a banks cost of funding? Any help would be greatly appreciated. ...
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1answer
471 views

AUD Swap Reference Rate?

So I understand that BBSW is the reference rate used in AUD swap transactions since AUD LIBOR has been discontinued. If I want to build a curve out of the reference rates used to price AUD swaps, I ...
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1answer
55 views
0
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1answer
65 views

T-Forward Measure, LMM & the Zero T-bond

the zero-coupon T-bond is widely used in the industry as a tool to derive pricing formulas: for example it is used in the derivation of the Libor Market Model. The way in which it is often used ...
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1answer
138 views

Libor Market Model Implementation

I'm trying to implement an LMM-MultiCurve for caplet pricing following the analytical formula mentioned in this article (pg 20): https://www.researchgate.net/publication/...
0
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1answer
90 views

Libor Swap Rates

In a 5 year Libor Swap, say fixed vs. 3 months Libor, what is the credit risk reflected by the fixed leg ? (I'm ignoring counterparty credit risk). Would the fixed leg reflect 3 month Libor quoting ...
0
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1answer
148 views

What's the most direct hedge on rising 12-month LIBOR rate for retail investors?

What is the most direct mechanism available to retail investors to profit from (i.e. hedge against) a future increase in the 12-month LIBOR rate? e.g. The 12-month LIBOR rate is 2.29% as of 2/1/2018. ...
0
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1answer
2k views

Collateralized Interest Rate Swap

I am struggeling with the wording "Collateralized" IRS and try to get an understanding out of it based on an example. Especially what it means that in the multi curve models the expectations are ...
0
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1answer
134 views

How are LIBOR rates beyond 12M arrived at? [closed]

I understand LIBOR rates quoted on a daily basis upto 12 M tenors. But how are rates beyond 12M tenor estimated. I got this question from an interviewer.
0
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1answer
81 views

Relation between Libor market model and Black76 with time-dependent vola

The Black76 model uses a lognormal process to model the forward rate $L_1(t)$ from $T_1$ to $T_2$ at time $t$, $$dL_1(t) \ = \ \mu(t) L_1(t) dt + \sigma(t) L_1(t) dW_t$$ By switching to the $T_2$-...
0
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1answer
2k 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-...
0
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1answer
329 views

Show that being Long a caplet & short floorlet (both with strike price K) is equivalent to a FRA where you pay the fixed rate K

How do you show that being long a caplet and short a floorlet (both with strike K) is equivalent to a Forward Rate Agreement where you pay the fixed rate K?
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1answer
4k views

What is the difference between BBSW and AUD LIBOR?

I understand that BBSW is the reference rate for financial instruments while AUD LIBOR is the interbank rate benchmark. However, since AUD LIBOR has been discontinued due to the rigging scandal, can ...
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0answers
63 views

How to build the 3 month LIBOR Forward curve through Swaps?

In my research, I found that you can build 3 month LIBOR Forward curve using Eurodollar futures and Interest rate swaps. I want to understand how they can be built from Swaps. How can I find the ...
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0answers
29 views

How to build the Fed Funds Rate which is a discounting curve? Need this information for modelling the SOFR curve

I want to understand how one could construct the Fed Funds rate. I read somewhere that this could be done using fed funds futures but I wasn't able to understand how Can someone elaborately explain in ...
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0answers
28 views

Curve LIBOR - LIBOR 1M

I want to price a Floating Rate Loan and also want to calculate the amortization schedule for the loan. The base rate is Libor and the reset frequency is every 1 months. I'm currently using the USD ...
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0answers
12 views

Let $L$ denote the three-month US dollar LIBOR rate and an interest rate swap arrangement where fixed rate is $L$ and floating rate is $24\% - 2L$

The following is a question taken from Heard on the Street. Let $L$ denote the three-month US dollar LIBOR rate. Consider an interest rate swap arrangement where Party A pays $L$ to Party B, and ...
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0answers
31 views

What can be used as a good proxy for OIS?

I was trying to find a good proxy for OIS. Let's say you have access to USD OIS rates only starting from 2016. What instruments or curves can be used to model OIS such that it can replicate OIS ...
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0answers
76 views

How is a LIBOR Market Model volatility skew determined?

LIBOR based interest rates are derived from the prices (supply / demand) of swaptions, caps and floors. These prices are generally quoted in yield vols. Their prices are given by the Black formula. ...
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1answer
134 views

Test Log-Normality for LIBOR forward rates under the Libor Market Model

As far as I understand, under the Libor Market Model the forward rates are assumed to have a log-normal distribution. Given that I have constructed my LMM model and now have a matrix of: k different ...