# 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).

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### Portfolio Immunization from Yield Perspective

Let's say we have the following situation: an asset (mortgage) with fixed payments, a prepayment & oas models to run through, and calculations for duration, convexity, and price, based on them. ...
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### Bloomberg zero rate calculation using shift

I used Bloomberg to calculate a zero rate under a parallel shift of 100 basis points, however I can not understand the results neather duplicate them. I included the +100 basis points by using the ...
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### Black & Scholes with stochastic interest rate [duplicate]

Consider the following model $$\begin{cases} dS_t=r_tS_tdt+\sigma S_tdW_t, \\ dr_t=adt+\eta dW_t\\ \end{cases}$$ where $W$ is a Brownian motion and $\sigma, a ,b, \eta$ are positive constants. I ...
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### Is variation in price-dividend ratios that is attributable to excess returns due to variation in returns or variation in risk free rates?

Cochrane and Fama show that "all variation in price-dividend ratios corresponds to changes in expected excess returns -risk premiums- and none corresponds to news about future dividend growth". Is ...
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### Relation between government bond yields and mortgage rates?

Does anyone know any academic literature on how government bond yields are related to mortgage rates? Thanks in advance.
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### Why does the correlation between r and V in Longstaff and Schwartz 1992 model is positive?

I am reading the Longstaff and Schwartz's 1992 and 1993. From $r = \alpha x + \beta y$ and $V = \alpha^2 x + \beta^2 y$. It was mentioned in the paper that the $r$ is positive correlated with $V$. ...
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### Pricing back swaptions corresponding to underlying swaps of Bermudan Swaption in calibrated LMM

I do not know to which swaption volatility matrix I have to calibrate the LMM in order to price back correctly the swaptions corresponding to the underlying swaps of a Bermudan Swaption. My problem: ...
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### EMTA Guidelines

Does EMTA guidelines are only for Non-Deliverable trades? IF yes, then why this is applicable for Deliverable Option trades? EMTA Site - http://www.emta.org/ndftt.aspx
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### Forward Exchange Rate Data: Germany x US

Would anyone know where I can find historical forward exchange rate data between germany and US, yen and US to download? In Bank of England website i already found. Thanks
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### To calculate shift in the shifted lognormal model

I tried to calculate the shift for CHF interest rates (tenors with negative rates) using MLE, but as the shift is increased the MLE value increases(or decreases depending on whether positive or ...
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### Different ways to discretize forward rate in HJM

I've come across couple of different ways to discretize the forward rate equation in HJM. If somebody could please help me understand why is it possible to have multiple ways here and how to pick up ...
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### 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 ...
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### 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 ...
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 ...