# Questions tagged [interest-rates]

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).

705 questions
Filter by
Sorted by
Tagged with
42 views

### Vega hedging swaption with caplets - precisely, what will go wrong?

I am trying to form a kind of unified perspective of how (vega) hedging an exotic with vanillas, or hedging a 'basket option' with vanillas will go wrong. So in particular, I want to be able to ...
84 views

### Modelling limitations and understanding of long term goverment bonds

Been trying to understand the yield curve for a while now. This is what I collected so far, There is a relation between short rates and long rates that goes via the forward rate, and so by the ...
196 views

### Python libraries for bloomberg?

I am very new with python, and I am used to work with bloomberg formulas for excel. I am starting to use a lot more python in my analysis, is there any library that performs same functions as bdp, bdh ...
36 views

### Martingale optimal transport

I'm a student and currently studying martingale optimal transport for deriving upper and lower contract bounds but i happen struggling on the fact that in most papers , interest rates are not taken in ...
81 views

### How to replicate the future instantaneous short rate?

Suppose we have an interest rate model $R(t)=\alpha(t)d(t)+\sigma d\tilde{W}(t)$, where the brownian motion is under the risk neutral measure. Suppose $S(t)$ is the price at time $t$ for a contract ...
61 views

### Market implied rate

Today's 3m usd libor (US0003M) is 0.3625% and 6m usd libor (US0006M) is 0.5484%, so from here, the implied 3m USD libor 3m forward is about 0.73%. Today's EDU0 quote is 99.71 (implied 0.29% rate). ...
23 views

### Calibrating Short-Rate Models to Eurodollar Futures Prices via Monte Carlo

I have a short rate model specified in the risk-neutral measure $Q$ defined by the continuously compounded money market $\beta(t)=e^{\int_0^tr(u)du}$. I'd like to calibrate this model to a set of ...
17 views

### Local v/s global calibration for a Bermudan Option (calibrate co-terminals vs entire matrix)

I am quite new to rates modeling and I have a question on the pros and cons of calibrating to larger set of vanilla instruments v/s calibrating to an exotic's 'natural' hedges. For example, I could ...
109 views

### Do different prices under different models admit arbitrage?

There are many models for interest rate. If two people use two different models to price the same interest rate derivative, and come to two different prices, doesn't that admit an arbitrage? How ...
72 views

### What is the best way to hedge a position with negative interest rate?

Suppose we have a following situation: $1).$ Company A takes a loan from Bank A at a floating interest rate. $2).$ In order to offset the payments at floating interest rate, Company A enters into an ...
125 views

### What does the word “affine” mean in affine term structure models?

I am new to the field of Mathematical Finance and wanted to get an idea on the intuitive, physical and mathematical meaning of the term "affine" in Affine term structure models. Any literature ...
26 views

### Sign of DV01 for FRA and IR Swap and Their Relationship

I'm confused with the sign notion (positive or negative) of DV01 for FRA and IRS. Say if I short FRA and also long IRS (pay fixed receive Float) with same underlying, does that mean both dv01 of these ...
23 views

### Trinomial Trees for Hull-White model

I am studying trinomial trees and trying to implement them in Python to compare them to the monte carlo simulation. I searched 3-4 hours in the web; but can't find any implementation on binomial or ...
986 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 ...
64 views

### Pricing coupon bond on weekly basis effectively

I have a coupon bond with $NV=20 000 000$ and coupon $4\% p.a.$, assumed the coupon is paid annually (I don't have this stated explicitly). Let's assume, the starting date is 27.4.2015, so the first ...
143 views

### daycount of the yield curve

Complete characterization of an interest rate requires a few elements: day count compounding frequency the rate itself start date and end date That said, I notice that day counts are never displayed ...
78 views

### When pricing interest rate swaps at inception, should the fixed rate or floating rate be priced first?

In an interest rate swap, when pricing at inception (e.g. making sure the NPV is zero at inception), is the fixed rate set first and then the floating rate calculated (or vice-versa, e.g. floating ...
3k views

### Where can I find open swaption implied volatility data?

Anyone have a good place to find interest rate swaption implied volatility data? Does Bloomberg's python API allow access?
29 views

### Excel rate function with nper as decimal returns unexpected result [closed]

I set up a simple problem Payment after 0.4 year is 25. The rate is 10%. I calculated PV as $\frac{25}{(1+10\%)^{0.4}} = 24.77$ Then I did Rate(0.4,25,-24.77,0) in ...
88 views

i have a quick question about conversion factor and his implication in calendar bonds roll trading. I go short on a calendar roll (short front+long back) which has the same cheapest to deliver. The ...
223 views

### How do markets price an interest rate rise?

It is common to see phrases like Markets priced in a 68 per cent chance of a rise in UK interest rates at the next meeting, up from 48 per cent before the June decision was announced This example ...
86 views

### Calculating risk free rates from risky options using put call parity

My questions relates to this post Implying risk-free rates using Put/Call parity , but I am using a different approach. Given: ODAX (Options on "DAX") Settlement prices across different maturities ...
100 views

### Formula for quantiles of swaprates in the 1-factor Hull-White model

Is there a closed formula to approximate the quantiles of swaprates in the 1-factor Hull White model? Background The Hull-White is a Gaussian model for the short rate. Its mean and covariance ...
42 views

### Why is CBS (Currency Basis Swaps) added to Interest Rates?

We are trying to analyze an algorithm (internal to our company) to calculate currency option pricing using the Garman and Kohlhagen model. Our internal algorithm calls for CBS (Currency Basis Swaps) ...
43 views

31 views

### Synthetic FRAs using Eurodollar futures

In order to create a synthetic FRA position of 30-day FRA on 90-day LIBOR, the diagram below shows that we can enter into positions by going long a 120-day Eurodollar contract and short a 30-day ...
43 views

### When working with interest rate swaps, how many decimal places should be used for LIBOR rates, swap rates and discount factors?

When working with interest rate swaps (I'm building a calculation spreadsheet), how many decimal places should be used for displaying and working with LIBOR rates, swap rates and discount factors? My ...
103 views

### why is ADBSC currency positive?

Hi guys I am new to cross currency. Could anyone explain why ADBSC <curncy> (Australian Dollar 3 month cross currency basis) in Bloomberg is always ...
38 views

### Calibrating Vasicek model for historical data

I need to to estimate the parameters of vasicek model to predict the zero curve. My database has 4k daily observations of zero rate for 37 maturities. My question is do I have to estimate the model ...
22 views

### Term structure of interest rate model calibration

I need to model term structure of interest rate and predict the zero curve. The database I am using to calibrate the model contains zero rate observations for approximately 10 years and for 37 ...
25 views

### Market implied probability of central bank rate change

Recently, I've come across this article, which is offering a simple model for estimating the probabilities of interest rate cut/hike from the Central bank. This is done by using market data, ...
54 views

### Bond interest rate, the relationship between a bond's interest rate and its present value, and discount rate [closed]

Consider this equation for calculating the Present Value of Bond that pays a coupon and its face value at maturity: C is the coupon, r is the interest rate on the bond, m is the number of times it ...
20k views

### question regarding carry & roll of a bond

I have a simple (and might be a dumb) question regarding the calculation of a bond's carry. If someone doesn't take into account cost of financing (e.g. the repo rate) then the bond's approximate ...
66 views

### Pricing IRS: bootstrapping zero rate (spot rate) from the swap curve

I would like to ask about swap zero curve calculation algorithm used by Bloomberg. Below is a plain vanilla EUR IRS. I want to calculate >= 2 year spot rates from the market rates. I don't know how to ...
397 views

### Libor to SOFR transition Yield Curve Construction

With the imminent transition from LIBOR to SOFR next year, what are the data points practitioners are using to the yield curve? Also, since LIBOR implicitly took into account credit risk of the ...
11 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 ...
44 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 ...
81 views

### FX Swap P&L question

I am currently trying to compute the P&L of a FX swap and to understand it's implications. Let's say when we sell 1M EUR spot eur/usd at 1.08 and at the same time buy a one month month forward ...
31 views

### Building up an Economic Scenario Generator [closed]

I am trying to build an Economic Scenario Generator in VBA or Python. Can anyone please help me with some good resources which I can follow or some basic procedures which explains how to go about in ...
I'm considering a Cox-Ingersoll-Ross (CIR) process $$dx_{t} = \alpha\left(\theta - x_{t}\right)dt + \sigma \sqrt{x_{t}}\,dW_{t}\,,\qquad \alpha,\beta,\sigma > 0$$ which by assumption has \$2\...