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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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 ...
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76 views

Neglect the positive values in negative interest rates modelling?

The magnitude of the negative interested rate should vary correlated with the increase in fixed assets prices and with cross-currency basis spreads. Could their volatility / correlation ...
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77 views

Separated software and physical cash flows modelling and pricing to be used with negative interest rates?

The physical cash presence in the final transactions is one of the issues in the presently observed negative interest rates bonds. Such a situation has historically been modelled within the "liquidity ...
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104 views

What is the meaning of the discounted process defined from the interest rate process?

Assume a money market has interest rate process $R(t)$. In Shreve's Stochastic Calculus for Finance II, formula (5.2.17) on page 215 defines the discounted process as $$ D(t) = e^{-\int_0^t R(s) ds}. ...
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53 views

Reproducing levels when PCA has been done on changes

I want to use PCA for rich/cheap analysis of interest rates. For this I did the PCA on the time series of daily difference in interest rates, which is stationary. I cant do pca on levels, as they are ...
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156 views

Bootstrapping zero-rates from AUD swap rates

I have a pay fixed / receive floating interest-rate-swap on the AUD BBSY that I'd like to price for the purposes of accounting. I understand the general process to be as follows (assuming ...
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1answer
99 views

Derive instantaneous forward rate

Given that $P(0,T)=e^{-RT}$, how does one get the formula for the instantaneous forward rate below? Specifically, how does one get to the partial derivative in the formula? I'm sure the answer is ...
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506 views

Zero Curve Calculation for AUD, CAD (post LIBOR scandal)

In the end of May 2013 British Bankers Association (BBA) stopped publishing LIBOR rates for Australian and Canadian dollars in a light of recent scandals. LIBOR rates were essential for creating zero ...
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39 views

How do I interpret yield curve data points given by the US Treasury?

Given the Daily US Treasury Yield Curve Rates for a specific date I will fit the curve with the cubic spline method, but first I need to know how to use the data points given by the Treasury. For ...
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1answer
150 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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1answer
127 views

Total return index for interest rates (EURIBOR 3M)

I would like to calculate a daily total return index for the EURIBOR 3M. • Should I freeze at the beginning of each qurter die rate? (With this methology the developing of the index depends on the ...
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238 views

Hedging future USD cost using different IR and forwards

I am facing a problem where I suppose an expense in 6 months from now of 2,500USD. My home currency shall be EUR, and I am trying to hedge given the following information. ...
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1answer
386 views

Non-intuitive correlation between S&P sector indexes and economic indicators

I am trying to understand how changes in economic indicators like Unemployment Rate, Inflation Rate, and Consumer Sentiment affect the portfolio values. For that I want to measure the correlation ...
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2answers
368 views

Matlab; How to specify Coupon frequency for Interest Rate Swap

I'm trying to price an interest rate swap and would like to change the default coupon payment frequency from 1 a year to 2 or 4 a year. I'm using ...
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20 views

Influencing factors on credit

There was the following question on an exam: Which factors are influencing the effective interest rate of a credit? loan amount fees interest rate running time I would have said ...
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31 views

Fed Funds Rate: longer maturities

FFR published by Fed Bank of NY is the average rate US banks charge each other for the overnight loans of their reserves required by the Fed regulations. Since Fed acts similar to a clearing house ...
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61 views

Monte Carlo, convexity and Risk-Neutral ZCB Pricing

I've built a simplistic Excel monte carlo model to price a zero-coupon bond, but it came up with a slightly unepxected result so I wanted to confirm whether my maths is just a little rusty or my model ...
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14 views

negative yield (interest rate) and Option Pricing [duplicate]

If i have negative yield (interest rate) can I still proceed with Standard Black and Scholes or Simple Binomial Model? any Adjustment is required to the model? how does it effect the pricing model in ...
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41 views

Benchmarking option pricing under stochastic interest rates

I priced a long-term option (10 or 20 years) using two different models: one assumes constant interest rates, the other assumes stochastic interest rates. Is there a way (e.g. a benchmark) to ...
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43 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 ...
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75 views

Ornstein-Uhlenbeck / Vasicek and no-arbitrage

I'm working my way through a common question which asks to derive the solution, the mean and the variance to the following Ornstein-Uhlenbeck process: \begin{align} dS_t = (\theta(t) - \beta\,S_t)\,dt ...
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39 views

How to implement an Interest rate neutral strategy using options?

Intuitively one would think that investing equal amounts in an ETF such as TLT and an short ETF such as TBF (with some factor for the interest rate payout of the long fund) should result in a interest ...
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1answer
561 views

Key rate duration - Bond trading at par

I am reading the CFA L2 curriculum Bond Analysis section and it mentions that for a bond trading at par, the maturity-matched rate is the only rate that affects the bond's value and therefore the key ...
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26 views

How to calculate APR on term year

What is the APR on a $$300,000 fixed rate loan amortized over 30 years but due in 10 years if the stated annual interest rate is 5.0% and the lender charges 2% as an origination fee, $18 for a credit ...
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91 views

Incompatibility of Lognormal Forward Model (LMM\BGM) and Lognormal Swap Model

In his paper On the distributional distance between the Libor and the Swap market models (and also in his book about IR modeling) D.Brigo says: 10, 11, 12 are defined in the end of message. Do I ...
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53 views

Fixed Income Swap Sharpe Ratio Calculation

I have a Fixed Income based strategy based on swaps. Q1.) Given that swaps are based on a "notional" principal and no actual exchange of principal's takes place, is it fair to assume a funding cost ...
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205 views

How to calculate the pre-tax cost of debt for a mix of bonds allotted to a company?

I need to calculate the effective interest rate a company X is paying on the total debt it has been loaned (to arrive at the Cost of Debt) for the FY 2011-12. Its long term borrowings are a mix of ...
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1answer
34 views

Common point between IR and Vol option pricing models?

What is the common point between pricing models on options on Interest Rates and options on Volatility?
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399 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: $V_F = N * P * M * FX$ Where $V_F$ is the dollar volume of the futures ...
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100 views

Modelling interest rate: AR(2) modelling

I have a time series of spread that follows an $AR(2)$ (Autoregressive model of Order 2). I need an interest rate model that represents that dynamics. What model should I use?
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2k views

Are DV01 (or PV01) and IR01 one and the same?

IR01 measures the sensitivity of a portfolio or derivative to a parallel shift in the yield curve. Sometimes this is DV01 Dollar value (or PV01 present value). Is it always?
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143 views

Were can I find Historical Interest Rate Data?

Where can I find American historical Savings Account interest (Bank) rates? If you can, please attach corresponding links.
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1k 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 ...
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92 views

What is the most amount of money the consumer would be willing to pay to play take this gamble?

Suppose a consumer has log-utility over wealth, defined by $u(W) = \ln(W)$. Suppose this consumer has $100$, and is considering taking a gamble in which the consumer flips a coin, and gets $20$ she ...
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220 views

inflation > interest rate? [closed]

Currently, the federal reserve interest rate is 0-0.25%, and the inflation is 2-3%. Does this contradict the no-arbitrage principle? (The arbitrage being: borrow money at 0.25% and invest it in the ...