# 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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### Different ways to express a 2s10s steepener?

Some off the top of my head 2s10s cash steepener, however this ages into a 1s9s over time 2s10s swap steepener, better/cleaner way? Are there other ways to express this curve strategy? Would you do ...
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### High convexity vs low convexity bond definition

Isn't high convexity always better than low convexity bond from the formula that $$\frac {ΔB} B=-D \frac {Δy} {1+y} + \frac 1 2 CΔy^2$$ Since $\frac 1 2 CΔy^2$ is positive no matter what so the price ...
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### Hedging amortising interest rate swap with vanilla swaps

Is it possible to hedge an amortising interest rate swap (linearly decreasing notional) with a series of vanilla interest rate swaps? With the amortising swap originated today at par rate and the ...
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### Generic bond yields

I was looking on historical sovereign bond yields for a project. I was wondering what is meant by "generic bond yields" mentioned on bloomberg. Somewhere else i found data about the same country but ...
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### How do swap dealers make money from trading cancellable swap?

A fixed-rate payer (e.g. a swap dealer) of a cancellable swap pays more interest than he receives because he has the right to terminate the swap after a certain time if rates fall. What are the ...
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### Rebasing of Cap Volatilities

I recently found this article where towards the end the author describes a method to rebase cap volatilities. Their method works like this: for a fixed strike assume that you are given the implied ...
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### Hull White and HJM model not Markov

In HJM model we have instaneous forward rate $f(t,T):$ $$d f(t,T) = v(t,T)v_T(t,T)d t - v_T(t,T)d W_t,$$ is ...
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### How do traders determine when points in a yield curve are at 'fair value'?

While on my last day on an internship last summer, I heard on the morning call a UK rates trader say something along the lines of: "Most of the curve is at fair value at the moment, so nothing ...
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### Proof positiveness condition CIR dynamic

Ciao All. I'm studying the CIR model and this question came out. Usually the Ornstein-Uhnlenbeck dynamic is used to build the CIR model: let $$dX_t = aX_t + \sigma dW_t$$ where $a \in \mathbb{R}$ ...
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### Cap/Floor ATM Rate

This is a question on cap volatility market data. The quotes usually include volatilities for different strike (1%, 2%, ... 5%) and maturities (1Y,2Y,...20Y). One volatility for each combination of ...
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### Pricing 0% interest rate Floor Black Model

I'm having some trouble pricing a 0% interest rate Floor following Black's formula. The term d1 contains the expresion Ln(Forward/Strike) if the strike is exactly 0 this expresion yields an ...
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### What strategies benefit from EURO (ECB) interest rate hike(s) long term? [closed]

I would like to know which strategies would perform well if the ECB hikes interest rates? Alternatively, what is a good strategy to hedge a loan in EUR against interest rate hikes?
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### Implying risk-free rates using Put/Call parity

I recently purchased SPX options data from the CBOE. Normally, if the data is OK and the Put-Call parity holds, one should expect to correctly imply ZC (Zero Coupon bond) prices and forwards by ...
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### Time dependent parameters in Hull-White model

Hull-White: $$d r = [\theta(t) - ar]d t + \sigma d W_t.$$ There is a statement in John Hull's book: The advantage of making $a$ or $\sigma$, or both, functions of ...
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### How to estimate $\sigma$ and $r$ in binomial pricing model?

I am writing a program to price American put options with binomial pricing model and to compare it with the market price. When I used made-up numbers for $\sigma$ and $r$, the price by binomial ...
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### Negative correlation between interest rates and credit spreads - Why?

In fixed income markets a stylized fact seems to be that there is a negative correlation between interest rates and credit spreads: Spreads tend to widen as rates fall. Why is that?
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### Discount rate in IRS valuation

This might be a very basic question but I didn't find the answer in the materials I saw on Google. What is the interest rate used to compute the discounted cash flows for both the fixed and variable ...