# Questions tagged [interpolation]

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### Interpolating the volatility cube of European Swaptions

I'm in a situation where I have a cube of European swaption volatilities (normal volatilities), which contains only scattered data. Since it is three dimensional (Tenor, Term, Strikes) I'm having a ...
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### Interpolation of IV based on delta

I have a dataset with options, all the same date and time to maturity but different IV and delta. Now, I want to find the IV for certain delta values (e.g 0.5) through interpolation. Do you think that ...
76 views

### Double interpolation continuity

I am trying to use double interpolation(linear and forward quartic) but the interpolator is the zero coupon so at each time i need to convert the instantaneous forward rate to zc my problem is at the ...
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### Interpolation of term structure of implied volatility

I have a dataset of options traded at each day, including the time to maturity, delta, strike price etc. Now I want to get the implied volatility of an option with time to maturity 30 days through ...
1 vote
59 views

### How to determine a correct interpolation technique for discount factor curves?

I think Log-Linear interpolation of discount factor curve is most preferred. I think this is due to the fact of not having any arbitrages in the forward rates. Can someone share some literature or ...
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### FX portfolio MV estimation for undelying Spot move

In the context of a project involving FX derivatives, I am faced with the challenge of estimating the change in the market value of my portfolio in response to a change in the underlying spot. The ...
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### Cubic Spline Interpolation partial derivative to the point

Still didn't figure out this, so looking for some help, kindly apppreciated. By this blog https://blog.timodenk.com/cubic-spline-interpolation/index.html, the piecewise cubic spline interpolation is ...
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### how to make this time series reguarly spaced

in the picture below we have in the first coloumn the day of the month, in the second coloumn the time in millisecond in epoch time(elapsed from 1 january 1970), third coloumn the stock price and in ...
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271 views

### Bootstrapping the zero-curve/spot-curve from incomplete swap curve par-rates

TL;DR: I have an incomplete set of swap rates and want to bootstrap the zero-rate curve, what can I do? I'm trying to construct a spot-rate/zero-rate curve from a swap curve (i.e. par-rate quotes) ...
110 views

### Survival probability interpolation between two time nodes

In the Open Gamma paper describing the ISDA CDS pricing model, it is mentioned that given the time notes of the credit curve $T^c=\{t_{1}^{c},...,t_{n_{c}}^{c}\}$ and that the survival probability for ...
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1 vote
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### Arbitrage-Free implied/local volatility surface with Cubic Spline Interpolation

I am trying to create a local volatility surface using a cubic spline interpolated implied volatility surface. In other words, I have a function $\sigma(T,K)$, that is arbitrage-free $\forall T,K$ (...
134 views

### Methods for Constructing a Yield Curve

I wonder if the Raw interpolation (known as linear on the log of discount factors) can handle negative interest rate due to the inverted yield curve? I understand using the linear on log of rates and ...
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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 ...
70 views

### Curve optimization to predict monetary policy path (OIS Curve)

This is a question about a relatively undeveloped market (Chile) in which Camara the O/N rate is daily compounded (OIS Curve). The available instruments in the market are short term rates ie 1m 2m 3m ...
126 views

### Is there daily SPX level data going back to 1927?

While attempting to model the SPX index over time, I found a source here that purportedly has historical daily SPX data going back to 1789 which very likely seems to be backcasted since the ~500 stock ...
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1 vote
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### Zero Curve Interpolation Does Not recover Node point input rates

I having an issue with interpolation in QuantLib Python. Please see the code below for a minimum working example ...
468 views

### QuantLib: How to bootstrap Yield Curve using 3M futures - Python

I need to bootstrap a yieldcurve with 3M futures, using a cubic spline if possible. Using, for example 3M Euribor, how do I bootstrap the yield curve using python? I have a vector of dates and a ...
1k views

### Python yield curve bootstrapping equivalent to Matlab IRDataCurve.bootstrap

I want to bootstrap the yield curve of multiple currencies using 3M futures. I have it implemented in Matlab, but need to transfer to Python. I have a vector of dates and a vector of future prices. ...
614 views

### Graeme West's VBA code Monotone Convex

Can somebody post Graeme West's VBA code for monotone convex interpolation if you have? I was struggling to find it.
1k views

### simple volatility surface interpolation

I'm trying to build an implied vol surface from some listed options. In particular I have data for calls and puts for different strikes and expiries. I'm not looking to price on the interpolated vols ...
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### Quantlib Piecewise CubicZero Bond Curve Bootstrap

I am looking for more details on Piecewise Cubic Zero for bootstrapping/interpolating treasury curve ? Does quantlib uses Cubic interpolation or Cubic Spline interpolation ? If Cubic interpolation ...
1 vote
109 views

### Techniques for proxying time series / stock prices

What are some good techniques for proxying time series? My purpose is for risk management / modelling and I would like proxy to missing series. Given that I also have to account for volatility, ...
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191 views

### UnivariateSpline Spline Interpolation behaving erratically

I am using univariate spline to interpolate betweeen a number of dots I have (in blue - it is a yield curve). The code is the following: ...
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### How do people 'lookup' values from calculated surfaces?

I have been wondering how the following situation is / should be implemented. Consider some kind of surface $z = f(x,y)$ which has to be pre-calculated; the shape of this surface would not have a ...
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1 vote
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### Dividend adjustment on SABR formula for interpolating implied volatility

We are using a SABR model to interpolate the implied volatility surface. The model yields a formula for implied volatility that contains the following term: $\ln \left(\frac{K}{F}\right)$ It is ...
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1 vote
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### What kind of interpolation is this?

I have Wiener process $W_t=\int_0^t\sigma(t)dB(t)$ where $B(t)$ - Brownian Motion and $\sigma(t)$ - piecewise constant function. I also take $t_k<t<t_{k+1}$ where I know the values of $W_{t_k}$ ...
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### Interpolation and extrapolation of Discount factors

We are sourcing the discount factors for various currencies. What is the best interpolation method for dates between and out of the dates provided in the factors? Shall I go for flat forward or cubic ...
164 views

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### What is the cause of a "broken" volatility surface?

I am currently working on a project for which I need the implied volatility surfaces, to estimate the value of plain-vanilla European options with different strikes (cannot be observed directly in the ...
• 156
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### Linear Interpolation around End of Month (EOM) for IRS with standard rolls

I have a USD IRS S/A v 3M LIBOR with the following dates: Effective: 30th April 2018 Maturity: 28th April 2028 (Rolls day of month = 28) Therefore stub period runs from 30th April 2018 to 28th July ...
6k views

### Quantlib-Python: use zero rates to get the originally bootstrapped curve

Let's say I am trying to build a curve using deposits, future and swaps with one of the three Quantlib methods in Python as below: ...
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### Raw interpolation when the desired term is out of the know originals

I was reading this paper regarding the yield curve construction and was programming the Raw Interpolation algorithm (page 7 equation 6) however I was wondering how to use the formula when the desired ...
1 vote
1k views

### Getting option volatility off vol surface

I am currently looking into FX options. I am given a delta-tenor vol surface and I want to get the volatility of an option given its strike and time to expiry. I am reading about the method used and ...
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