# 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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### How does the interest rate affect the implied volatility of options, especially ITM?

What would be a good reference to understand how the interest rate (r) or dividend yield (q), and I guess the differential between the two, affect the implied volatility of the options? If I look at a ...
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### Euribor 3M simulation

I am required to simulate the trajectory of the Euribor3M rate as it is crucial for determining the future cash flows of my derivative instrument. I've received guidance to employ the Hull-White model....
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### Mathematical meaning of an inverted yield curve

I am currently working on rates model. I would like to understand, mathematically, what does it mean to have an inverted yield curve? And I am asking myself for a certain model, how can I generate an ...
1 vote
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### Multiple factor Hull-While and yield curve deformation

I am currently studying rate models and I understand that the One-Factor model has some incompleteness: The yield-curve can only be shifted. But I don’t understand what parameter controls this shift ( ...
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### Measure of the behavior of Swaption surface

I'm looking to find a different measure than average shift move to explain the behavior of the IR VOL products say Swaption. I know it's a very open question not only touching upon IR VOL scope. Let ...
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I have the settlement prices of 3-month SOFR IMM futures and I'm trying to compute the forward curve to replicate FactSet's results, but I have trouble understanding how they do the convexity ...
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### Recent developments in interest rate modelling

Brigo and Mercurio published the 2nd edition of their (classic? definitive?) book on interest rate models in 2006. Have there been any major theoretical developments since then? Has anyone published a ...
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### Pricing with log-normal interes rate

The annual rate of return in year $t$, denoted as $1+i_t$, where $i_0$ represents the interest rate from $t=0$ to $t=1$, has a log-normal distribution with an expected value $108\%$ and a standard ...
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### Potential Future Exposure for vanilla swap

I need to calculate the PFE for vanilla swap. I wonder if it makes sense to simulate the MC scenarios with a 1-factor Hull white model. In my opinion, this model only allows parallel curve ...
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### Risk free rate for Black and Scholes model: Incorporating inflation?

I am new to quantitative finance and I am trying to create a model for option pricing. Naturally the Black and Scholes equation is front and center for this sort of thing, but that raises the question ...
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### Why does the risk-free rate implied by put-call parity vary with strike prices?

Suppose I do the following: buy one lot of some underlying stock currently trading at price $S$, write a call with strike price $K$, earning some premium $C$, and buy a put with the same strike $K$, ...
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### What book/resources would you recommend for beginners in IRD? [duplicate]

I recently graduated with a MS degree in Quantitative Finance and will presumably have some work to do with Interest Rate Derivatives (IRD) in the future. Since my experience lies more in the equity ...
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EDIT; I looking for sources where from I could get interest rate derivatives market data? (caps,floors,swaptions, etc, is there data available for exotics ones or are they purely OTC?) I would grade ...
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### Separability of Stochastic Volatility Model

After having read the article of Trolle & Schwartz regarding their general stochastic volatility term structure model (https://papers.ssrn.com/sol3/papers.cfm?abstract_id=966364), it is not clear ...
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### Any other ways to hedge a bond portfolio against interest rate risk? [closed]

I'm currently taking a (gentle) intro to derivatives class. One of the exercises asked me to discuss duration as a risk measure and to provide alternative methods of hedging a bond portfolio against ...
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I am wondering if there are any approximations that exist to convert yield vol to price vol? I am dealing options on SOFR futures, which can be quoted in yield and price (i.e. 3% put and $97 call are ... 0 votes 0 answers 26 views ### Barrier Reverse Convertible on interest rate I'm trying to find the price of an barrier reverse convertible on interest rate - https://structuredproducts-ch.leonteq.com/isin/CH1251797945. I have simulated the underlying interest rate by Vasicek ... 1 vote 0 answers 425 views ### Fitting volatility using SABR I have been working on generating a volatility surface for options on SOFR futures with the help of the SABR model. I am running into some trouble for low strikes in particular, in that I cannot seem ... 1 vote 0 answers 64 views ### I am trying to compute the the tail of a future roll using the ratio of forward dv01 I am trying to compute the the tail of a future roll using the ratio of forward dv01, per the link CME: Calendar Spreads with Tails : I am trying to compute the the tail of a future roll using the ... • 33 0 votes 0 answers 67 views ### Vasicek model calibration to bond prices or rates (no swaptions) I need to calibrate Vasicek's model$dr_{t} = a(\theta - r_{t})dt + \sigma dW_{t}$in a market with no swaptions. I was thinking in estimating$\sigma$with historic data, but I'm in the doubt with ... 1 vote 0 answers 213 views ### Determining the floating rate for an interest rate swap I'm trying to price an Euribor 6M Swap and comparing this to Bloomberg's swap manager. However, I'm having some doubts on my implementation of getting the reset rate for the floating leg. In Bloomberg ... 0 votes 0 answers 98 views ### Lend$ synthetically at higher yield using ¥: it works but why?

The Trade is: You have USD 100m funding Swap USD for YEN equivalent at today's spot, agree to swap back in 12 months at the USD/JPY forward rate With the YEN buy a 12 months Japanese Government bond ...
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### Quantlib FRA and interpolated rate in Swaps vs BBG valuation

I am building a CZK swap pricer on quantlib, and I am trying to understand my differences with Bloomberg pricing. I believe the way I set up my FRA is wrong, the reason is because even though I match ...
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### How to convert the parameters of multi-factors cheyette model (quasi-Gaussian model) from tenors to factors?

The book "Interest Rate Modeling" by Andersen and Piterbarg is an extermely fascinating book on interest rate derivatives. Recently, I have encoutered some issues while reading this book. ...
1 vote
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### Quantlib - mismatch with BBG Swap

I'm trying to price a CZK swap via Quantlib with BBG data, so far nothing complicated but I can't seem to match the floating leg cashflows, and NPV, when I price my swaps, even if I find the right Par ...
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### Are there any structural reasons for choosing constant forward rate interpolation over linear interpolation beyond just simplicity?

I've been looking into rate curve interpolation methods and focussing on two basic ones - linear interpolation, and constant forward rate interpolation. In the first one, given a rate curve consisting ...
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### PV01: bumping all tenors along the curve or only a tenor at a time?

Item 22 from this ISDA SIMM 2.3 document gives the following definition for the PV01 of an instrument $i$ with respect to the tenor $t$: $$s(i, r_t) = V_i(r_t+1bp, cs_t) - V_i(r_t, cs_t)$$ where $r_t$ ...
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### Interpolating FRA curves for MPC dates

I have data for all the "white" FRAs with 3m fixings in a given market, i.e., 1x4 up to 9x12 and all the central back MPC meeting dates over the next twelve months. What is the recommended ...
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### CMS diffusive dynamic

As I am landing on a project related to CMS option, I am wondering if one can write dynamic for CMS depending on the pricing model. For example, is it possible to have a diffusive dynamic for the CMS ...
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### Trinomial lattice model movement probability calculation under various models

I need to construct trinomial lattice model movement probability calculation under various models Vasicek, Hull White, Ho Lee and Hull White Two Factor. I do not see any reference to these models with ...
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### Deriving central bank hikes/cuts from a swap curve

Can you please explain the following? Please assume I am 5 years old. how do you derive the cuts/hikes of the policy rate priced in a swap curve? why you can derive the cuts/hikes only from a swap ...
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### Pricing a callable bond in a minimal way

I am looking for a minimal way to price callable bond from a defaultable issuer. The idea is to assume that we are in a deterministic world (i.e no volatility). I tried a methodology but I am not sure ...
292 views

### Bootstrapping overnight SOFR rates from futures

I'm struggling with the best way to approach bootstrapping out a SOFR curve using SOFR 1m and 3m futures. Theoretically, unless I'm wrong, there should be a way to price out the expected overnight ...
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### Effect on Forward Swap Rate from a parallel shift in forward curve

Can anything be said on how a parallel shift in the forward curve affects the forward swap curve? To be more concise, say we have a model estimate of the implied vol for the 2Y-10Y point (2Y ...
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