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).

learn more… | top users | synonyms

0
votes
0answers
17 views

Which obligation choose [on hold]

I have 6 different obligations: A: coupon 4% Maturity 10 years. B:coupon 4% Maturity 15 years. C:coupon 2% Maturity 10 years. D:coupon 2% Maturity 15 years. E:coupon 0% Maturity 10 years. ...
0
votes
2answers
77 views

Price of an equity

An equity has a value of 100 Euros, and pay a dividend of 5 Euros in 6 months. The interest rate of 6 months is 5% and the interest rate for 1 year is 6%. I would like to compute the value of the ...
0
votes
0answers
16 views

Data on interest rate differentials (lending on own vs. foreign currency)

I'm looking for data on (inner country) interest rate differentials between lending in own and foreign currency. Is there any data publicly available? If yes, where? If not, which non-free sources are ...
1
vote
0answers
36 views

Libor Market Model Calibration

Currently I am doing a research on the plain vanilla multi-curve framework Libor Market Model meaning that no stochastic volatility is involved. I had the idea to calibrate to the swaption market. In ...
15
votes
5answers
22k 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 ...
0
votes
0answers
28 views

For a square-root process (CIR), how to verify the characteristic function of the transition density?

I am trying to solve a financial mathematical question. I derived PDE (a) for the characteristic function as follows. But, I don't know how to verify the following characteristic function of the ...
3
votes
0answers
71 views

Ridiculous Bond Prices under Vasicek Model

Has anyone played with the parameters of the Vasicek model and observed the sometimes ridiculous bond prices it implies? E.g. with the right parameters, a 30-year zero is priced at $147,327. To be ...
6
votes
1answer
120 views

Estimating Parameters - Vasicek

The Vasicek model for the short rate $r_t$ is given by the SDE $$ dr_t = \alpha(\beta - r_t)dt + \sigma dW_t, $$ where $W_t$ is a Brownian motion under the physical measure. I'd like to compute bond ...
2
votes
2answers
2k views

Bloomberg interest rate interpolation

I have question about the linear interpolation of interest rates. I am unable to reconcile the Bloomberg methodology for calculating risk-free rate between maturities. In theory it is a straight-line ...
0
votes
1answer
41 views

Monetary Policy and the Yield Curve PART TWO

The Fed has a number of tools/targets with which they manage monetary policy. I'm looking to refine a concise summary of them and looking for guidance/correction/validation. Think I understand these ...
0
votes
1answer
30 views

Equitable Allocation

This questions borders on the actuarial side of things but the general solution should have relevance in several situations. Suppose we have a set of $k$ people who will retire in $\{n_1,...,n_k\}$ ...
1
vote
0answers
48 views

Monetary Policy and the Yield Curve PART ONE

As I understand it, the Fed has 3 tools for moving interest rates to combat inflation/unemployment: the discount rate, Fed Funds rate and open market operations. I'm trying to understand how the ...
4
votes
1answer
209 views

Where can I get equivalent of 3 months libor or swap historical data?

Please note: I have already checked your standard "Historical data sources" link, but it does not have the data I need: I am looking for 5 years of libor/swap data for major currencies. Daily, or ...
0
votes
1answer
24 views

What does continuously payable annuity mean?

I am preparing for F< exam but I am unable to understand the meaning of continuously payable annuity. What does it mean? An example would be great.
1
vote
0answers
46 views

How was this probability of negative U.S rates by end 2017 calculated?

http://www.bloomberg.com/news/articles/2016-01-26/bets-on-negative-u-s-rates-by-end-2017-jump-above-10-chance Options markets show some investors are taking out protection in case rates instead ...
1
vote
1answer
69 views

Timesteps in Vasicek model

When simulating stocks one can easily use GBM with only one random variable per simulation to create a new stock price in say 5 years, you don't need to create the whole asset paths if you don't need ...
1
vote
1answer
97 views

Function A(t,T) in one-factor Hull-White model

I am struggling with Hull-White model now and have the following question: in the lecture notes under the link below I see how A(t,T) and B(t,T) are being derived. This requires the solution of ...
2
votes
1answer
542 views

European Swaptions: does implied volatility of swap rates decreases both with start and tenor?

Does implied volatility of swap rates decreases both with start and tenor? Given a Swaption price and a discount curve I calculate the swap_rate from the curve, then I define implied volatility as ...
0
votes
1answer
161 views

Weights Blowing up in PCA

I'm using daily settlement data to get yield levels for a couple of products. From this data I am doing PCA on a rolling collection of the yield levels. I have been using sci-kit learn's PCA function, ...
0
votes
0answers
36 views

Bond Convexity: Relationship between discrete and continuous interest rate

The interest rate risk of a bond price $P$ is measured by its Duration: $$D=-\frac{\frac{dP}{P}}{dr}$$ However, the explicit formula for the Duration given a function $P$ is different if $r$ is ...
0
votes
0answers
523 views

How to think about dollar volume in Eurodollar futures?

This is a very basic question: Computing the notional volume for futures contracts usually consists of something like: $$V_F = N \cdot P \cdot M \cdot FX$$ Where $V_F$ is the dollar volume of the ...
1
vote
2answers
142 views

what data to use to compare the interest rate among different currencies?

Very new to fixed income signals. I am a little confused about which data to use to compare interest rate among different currencies. For example, I am interested in compare interest rate in the ...
1
vote
1answer
79 views

How to calculate daily risk free interest rates

I'm working on an assignment in which I need to calculate excess return for six stocks plus the S&P 500. I have computed daily logarithmic returns for every stock and for the market, I now need to ...
4
votes
3answers
65 views

Reverse Repos as a means to adjust interest rates

How does the NY Fed's trading desk use this process as a tool to adjust bond prices?
9
votes
1answer
365 views

Models crumbling down due to negative (nominal) interest rates

Given that the negative interest rates on a lot of sovereign bonds with maturity under 10 years are trading in the negative (nominal) interest rate territory (recently also the short term EURIBOR has ...
3
votes
2answers
59 views

How do we include inflation in our calculations? [closed]

How do we include inflation in our compound interest calculations? E.g. if we have current principal of 1000$ and the interest rate is 3% after 10 years we have ...
0
votes
0answers
29 views

Return, STD and CAPM based on Continuously compound return on daily prices

Mission: For some ETF, Get 1, 3, 5 years: Return STD CAPM parameters (alpha, beta) Reference if I calculated correctly: Yahoo finance performance & risk data Raw data: Daily adj. close ...
2
votes
1answer
85 views

Fed FOMC Target Rate annnouncement machine readable data point

Does anyone know if there is a near-realtime machine-readable feed that reflects the FOMC target rate announcement? The announcement came in today at 2 pm, but I can't find a way to download the ...
0
votes
0answers
18 views

Interest rate: Treasury Note, Stripped Principal

Ok, So I'm a little confused about this. I want to solve an exercise and derive an optimal product, but in order to do that, I need the interest rates for each of the maturities of my options. I ...
6
votes
1answer
174 views

Dec 16: FED rate hike?

Various news articles state that next Wednesday a rate hike by the FED was expected. Yet when I look at fed-rate futures, nobody seems to expect that: ...
1
vote
1answer
49 views

How to get real interest rate from Nominal spot rates?

I have the nominal spot rates. Based on the Fisher equation , how to get the real interest rate ($r$) and the "expected inflation" ($\pi$) ?
2
votes
1answer
133 views

Differential of stochastic term

Question 1: How does one come up with the equation in the red box below? It looks like some kind product rule, but I'm not sure how to apply Ito's lemma here. Bjork doesn't seem to explain it ...
0
votes
0answers
18 views

CIR model, realistic parameters and usage

I'm currently working on SDE's, in particular with mean-reversion processes like CIR and Vasicek. The definition of the CIR model is \begin{equation} dX_t = \kappa(\theta-X_t)dt + \sigma ...
14
votes
2answers
483 views

Which interest rate model for which product

Given the multitude of existing interest rate models (ranging from simple to very complex) it would be interesting to know when the additional complexity actually makes sense. The models I have in ...
2
votes
2answers
79 views

Implications of Black Scholes Plot

I'm pretty new to finances, but I'm heavily into scientific computation. For my scientific computations class, I need to have at least a basic understanding of finances for the presentation I'm going ...
2
votes
1answer
60 views

Why financial instistution for instance banks lowered down their interest rate during QE?

When QE is carried out, the Federal Reserve prints money and buy government bonds in an effort to pour extra money into the economy. This causes financial institutions for instance banks to lowered ...
3
votes
3answers
152 views

Why Central Bank carry out Qe when they can directly force banks to lower down the interest rate?

To boost the economy, the central bank can do it either by lowering down the interest rate nor carry out QE. But QE objective is to lowered the interest rate also so banks can give out more loan. This ...
2
votes
0answers
28 views

Expectation of expression with two currencies under forward measure

I'm trying to calculate the expected value, at time $0$, of a cashflow paid at time $T$, resetting at time $t$. The coupon is of the form: ...
2
votes
0answers
45 views

Data source for a corporate bond yield curve?

Yield curves are a valuable tool for economic analysis. It is particularly interesting to analyse the difference between Government Debt yields and Corporate Debt yields (credit spreads). This gives ...
7
votes
2answers
216 views

How to check that an interest rate curve is arbitrage free

I have 2 interest rate curves (LIBOR 3M and OIS). I want to create stress scenarios for those two curves. Is it possible that some scenarios will make my term structure arbitrageable? How can I test ...
2
votes
2answers
84 views

Bond Prices in terms of short and forward rates

Of course, a pure discount bond price $P(t,T)$ may be stated in terms of its yield $R(t,T)$ as $$ P(t,T) = e^{-R(t,T)(T-t)}. $$ Let's assume both the (instantaneous) short rate $r(t)$ and ...
0
votes
1answer
36 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 ...
0
votes
1answer
48 views

Interest Rate and Price of Assets

I have a very basic question about finance. I know that for an asset, the price is inversly related to the yield to maturity, or the interest rate. However, I have three ways of thinking about this ...
1
vote
0answers
48 views

“Spot rate is not observable” meaning

In Bruno Remillard's text, "Statistical Methods for Financial Engineering," he states the following on p 148 after giving the general form of a bond price $P(t,T)$ under Vasicek's model: Note that ...
1
vote
2answers
65 views

difference between caplet and call

I wanted to know the difference between a caplet and a call. In my course (Interest rate models and curves) , we said that a caplet is a call option. Is it really true? Thanks
2
votes
2answers
810 views

How to express the Black Derman & Toy Model in a $dr=A\,dt+B\, dW$ form?

The Black Derman & Toy (BDT) model is given by $$d(\ln\,r)=\left(\theta(t)-\frac {d(\ln\sigma(t))}{dt}\ln r\right)\,dt+\sigma(t) \, dW.$$ How can one rewrite the BDT model as $dr=A\,dt+B\, dW$, ...
2
votes
0answers
33 views

“Economic” Variables in Short Rate Models

Hull (9 ed.) states on p 707, "Equilibrium models usually start with assumptions about economic variables and derive a process for the short rate..." He then states the usual short rate models ...
2
votes
1answer
59 views

How to use Euler discretization for this interest rate model?

How can I perform Euler discretization on this model where $\delta t=1$ and $\delta x_t = x_t-x_{t-1}$
1
vote
1answer
41 views

Stressing the going up of LIBOR - Which balance sheet variables to stress?

Analysts expect the LIBOR to rise in the next two years. Hence, all companies that have foreign currency loans will face problems. I am preparing a study on this topic, but data is an extreme issue. ...
1
vote
1answer
45 views

Applying interest rate models for volaility rate

To what extent may the interest rate models be applied for modeling implied volatity? The story: I was checking different stochastic option pricing models for being able to replicate implied ...