An interest rate is the rate at which interest is paid by a borrower (debtor) for the use of money that they borrow from a lender (creditor).

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404 views

Need advice on finding forward spot rates

So this is a "work homework" question. As part of my job they are sending us through sort of a training course. I'm looking for advice, or a link to a site that explains how to do this with maybe some ...
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254 views

Is it true that pricing an IR swap doesn't require any stochastic model but calculation of the PFE of an IR swap would?

Pricing an IR swap doesn't require any stochastic model but calculation of the PFE for an IR swap would require the Hull White Model or any other stochastic short rate or forward rate model. Is ...
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2answers
316 views

Bank of England base rate feed

I am implementing a program in Java that needs the Bank of England base rate. Rather than the user inputting this into the system, I have heard that there is a way to get a live feed of the base rate ...
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2answers
119 views

Effect of interest rate on options prices

This might be another basic derivatives question. When interest rate rises, stock prices generally fall. Assuming an option's underlying is a stock, this should lower the option's price as well. ...
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1answer
416 views

How to Analyze Interbank Lending Market?

I am currently trying to do a study in the interbank lending market, i plan to fit a DCC model to model them, these series below is taken from ...
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1answer
417 views

BDT model implementation

I am looking for a nice and readable description of how to implement BDT model: $d log(r(t)) = [\theta(t)-\frac{\sigma'(t)}{\sigma(t)}log(r(t))]dt + \sigma(t) dW$. I assume I already have ...
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3answers
867 views

What are the limits of bond portfolio immunization against interest rate changes?

I'm currently reading through an article on bond portfolio immunization against changes in the interest rate. I learned that the immunization can be done against instant changes in interest rate ...
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1answer
240 views

Value of option-free instruments with a short-rate model vs the spot curve

You can calculate the value of an option free bond or swap by using the spot curve and discounting cashflows accordingly. Alternatively, apparently you can use a single-factor short rate model in a ...
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1answer
394 views

How popular is the Linear Gauss Markov (LGM) model?

Some friends recommend to me Linear Gauss Markov model, saying it's interesting to have a look at it. Basically it's a framework different from HJM, with potential to extend, and the merit is that ...
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146 views

3 Factor HJM model, do these factors have an economic meaning?

In the HJM model, in case we have 3 factors, do these factors have an economic meaning at all ?
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1answer
149 views

Value options when the currency’s risk free rate is negative?

How would you handle a negative interest rate in index/equity options valuation? An example would be negative rates for short term maturities for Swiss Frank (CHF).
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93 views

Optimal mortgage rate strategy

When buying a mortgage, you can choose to "lock in" a rate at any point within 60 days of your closing date. Once locked in, you can't revert. This makes it a secretary problem - in the traditional ...
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280 views

How does one estimate theta in the Ho-Lee model from a yield curve?

I have a yield curve constructed using linear interpolation with data points every 3-months for US treasuries. I would like to use that calibrate a Ho-Lee model, but I can't wrap my head around how ...
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3k views

Is there an Australian Interbank Rate?

Most widely used Interbank Rates are LIBOR, EURIBOR. Then I read online on SIBOR (Singapore). It says Canda, US are following LIBOR as well. So for Australia, is there a dedicated interbank rate like ...
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2answers
144 views

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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4answers
209 views

Why can sometimes stock prices rise when interest rates rise?

Basic macroeconomics theory states that stock prices are inversely correlated with interest rates, i.e., when interest rates rise, borrowing is more costly, and thus companies with huge debt would be ...
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1answer
415 views

EuroDollar vs FRA

I am not quite clear about this. When people mention Eurodollar are they mean Eurodollar Futures? One of the difference between Eurodollar and Forward Rate Agreement(FRA) is basically difference ...
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2answers
932 views

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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1answer
86 views

Concise way of learning Bond & IR models

What is the most concise way to learn about bond and interest rate models from the book Mathematical Models of Financial Derivatives by Yue-Kuen Kwok? I have studied Oksendals Stochastic Differential ...
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1answer
38 views

Does Nelson-Siegle require adjustments to yield curve input data?

I am attempting to gain a better understanding of the limitations of the Nelson-Siegel model as described in Estimating the Yield Curve Using the Nelson-Siegel Model. As I have been playing around ...
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3answers
80 views

Interpolating probabilities of default

I have a table of cumulative probabilities of default of industrial bonds, in time and credit rating. It is similar to S&P whitepaper here. Basically, it looks like this (sample numbers): ...
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1answer
123 views

Why is two-factor model so popular for bond futures?

Given that which bond in the basket becomes CTD depends massively on idiosyncratic moves among different bonds, should we not be always using N factor model instead of 2 Factor model? By using only ...
2
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1answer
83 views

Discounting based on instrument type

Suppose we have an asset $A$, and we have modelled the cashflows for this asset to be $\{C_{1},\ldots C_{k}\}$ which occur at time $\{T_{1},\ldots T_{k}\}$. Now the present value of the asset can be ...
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1answer
151 views

interest rate in cost of carry

What interest rates are used in practice in a stock index / futures arbitrage? I've seen cases, when the assumed rate is 3 months LIBOR, but does it mean, that everyone who does the arbitrage can ...
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1answer
265 views

Why is the mean time-dependent in the Hull-White interest rate model?

In the Vasicek interest-rate model, the interest rate reverts to a constant mean. This makes sense to me. In my conception, the mean ought to be time-invariant, since interest rates don't follow an ...
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1answer
929 views

Calculate the “ten year zero rate” given two bonds with two prices

I have a little question and need some help with the notation. So, the question goes as follows: A bond with a maturity of ten years that pays annual coupons of 8% has a price of \$90. A bond with ...
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1answer
446 views

Question on OIS and fed funds rate

If i am considering the 0-5 year irs spread for the USD market, would it be more accurate to use the fed funds rate or the OIS rate? I believe the OIS rate is calculated based on the fed funds rate, ...
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1answer
79 views

Negative Eonia rates

I'm curious how the current negative Eonia (Euro OverNight Index Average) rates would impact derivatives pricing. Does it mean that if I post cash collateral to you, I also need to pay you interest? ...
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1answer
159 views

Risk-Free Rate determinant in CAPM

I have trouble understanding what type of maturity to use when calculating CAPM. My professor uses the 3-Month risk-free rate to ...
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1answer
106 views

if market is always assumed right, what happened when LIBOR was manupulated?

Recently Monetary Authority of Singapore (MAS) raps banks in rate-rigging. This is nothing new, LIBOR was also manupulated before, by some "major" banks. however, before the censorship, did any ...
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1answer
141 views

Why for one year (and not two or three) government bonds (there is a spike for Switzerland & Denmark)?

On 10.10.2012, I have looked at the bond-rates and, both for Switzerland and Denmark, there is a discontinuity/spike at 1Y, as per below Switzerland: ON= -0.09, 1W= -0.180, 1M= -0.230, 3M= -0.2, 6M= ...
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43 views

Inflation/Rates Correlation

I've been looking into a short piece of maths a colleague has written on pricing inflation with payment delays, and was hoping someone could confirm whether my understanding is correct, or if my ...
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159 views

Bond (yield curve) dynamics in the Forward-LIBOR-market-model

The standard Libor-Forward-Market-Models provides a way of modelling the evolution of forward rates in time. However the model does not seem to be well suited for the modelling of zero-bonds. But ...
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126 views

Reasoning for Bloomberg's short rate volatilty calculation

Bloomberg, in its documentation, explains that it calculates the short rate volatility for its Hull White implementation by multiplying the e.g. 10y IRS rate (divided by 100) by the 10y cap vol. Why? ...
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92 views

How to reproject rates risk on a subset of tenors

Is there a standard method (statistical or model based) to reproject rates risk obtained on a full set of tenors onto a smaller subset of tenors ? Let's imagine that I got a delta in the following ...
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1answer
338 views

How to download risk free rate?

I've been trying to download the national interest rates for some countries. When i use Datastream, it only gives me the currency return (while i need yield). Can someone please tell how to ...
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0answers
303 views

Yield Curve Volatility

Let you have several issuers, and let each issuer have its yield curve built up with liquid plain vanilla fixed rate bonds. Each yield curve has its slope and its curvature, and they obviously change ...
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1answer
79 views

What is a good index to track short term interest rates?

This is an FX question. I want to track short term (overnight or next best thing) rates for major/em ccys. What's the best way of doing this? Is there an index I can follow? Preferably something ...
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1answer
464 views

LIBOR Rates available in CSV, XML etc

Is there a website that offers current LIBOR rates for all tenors for free in machine readable formats?
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1answer
130 views

How to develop your own interest rate model?

How can you develop your own interest rate model? What must be take cautiously before making one? Also what is the regulation that one mustfollow? Also what is some common properties that models ...
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1answer
192 views

What is the intuition behind the fact that Modified duration = Macaulay Duration / (1+r)?

I understand the derivation of both:take dP/dR and divide by P which will give you both 1) modified duration OR 2) macaulay duration / (1+r) (notice the weighted average time built into the ...
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2answers
264 views

Forward rates formulae

I am now working with forward rates and have somehow been asked to use an "intuitive" formula for forward rates. $$ \frac{F(0,s,T)}{F(0,t,T)} = \frac{F(s,s,T)}{F(s,t,T)} $$ I can understand the ...
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2answers
232 views

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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1answer
53 views

“Equivalent” data sets despite different numbers

Are the historical data sets of short term treasury bill rates considered the same as the historical data sets of savings account interest rates because by definition they are both risk free rates of ...
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1answer
122 views

Fixed Income free research available online

As from the title, I would like to know where it is possible to find free research focused on fixed income markets' themes and topics, such as interest rates, credit risk related fundamentals, new ...
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1answer
675 views

Normal vs Lognormal Short Rate models

Are there any general arguments to decide whether it is better to use a model with a normal or a lognormal distribution of the short rate? E.g. Hull-White with a normal and Black-Karasinski with a ...
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1answer
289 views

why banks shall keep short term gap position low?

I'm reading "Insights for Bank Directors" (http://www.stlouisfed.org/col/director/reference_view.htm), a good introduction to commercial banks, based on a virtual bank "Insight". It talks about Gap ...
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3answers
3k views

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
50 views

Why interest rate future does not support fed policy on reducing assets buying?

Using the 3-mon eurodollar interest rate futures, I construct a yield curve each year for 2015-2021 using sampling date from the end of the month. If you graphed this out, you would see that the ...
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101 views

Different interim balances when calculating annual compound interest different ways

Something interesting that doesn't quite make sense to me. When calculating compound interest using P(1+r)^t, I'm calculating in two ways - one using the day 1 principal balance, and the other using ...