Questions tagged [interpolation]
The interpolation tag has no usage guidance.
31
questions
0
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0answers
49 views
Interpolation of SVI Implied Volatility in parameter space
I am currently working with a slice-wise SVI parametrisation of the implied volatility surface.
$\sigma^2(x,t) = a_t + b_t (\rho_t (x - m_t) + \sqrt{(x - m_t)^2 + \theta^2})$
Does anyone have ...
1
vote
0answers
62 views
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 ...
0
votes
1answer
86 views
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 ...
2
votes
1answer
461 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:
...
0
votes
1answer
29 views
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
1answer
253 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 ...
2
votes
0answers
102 views
Estimating daily volatility of unevenly/irregularly spaced time series data
Say I have time-series data that is unevenly spaced, with anything between 4-50 hours of spacing in between. The data comes from a trading account history, which has captured the balance of the ...
0
votes
1answer
373 views
Interpolating cross-currency basis curve
Just wondering how do people "interpolate" between different "pillar dates" on a cross-currency basis curve? So say for example, if the observed spot is 1.5, observed CC basis for 9 months is -1.25 ...
1
vote
1answer
401 views
Excel Add-In Volatility Interpolation I am trying to Understand
The Microsoft Excel at my investment bank has an .xll add-in with a function whose coded functionality I cannot observe. This function is called VolInterp and as the name suggests, calculates the ...
2
votes
1answer
921 views
Linear interpolation Discount factors
I am not sure how to perform a linear interpolation between discount fators for swap quotes. Lets say I have the following market quotes:
...
3
votes
0answers
311 views
Ill-posed problem: Local volatility calibration. Regularization vs Smoothing
I have asked my question on Mathematics site of Stack Exchange but maybe I will get the answer rather here.
I am working on inverse problem - calibration of local volatility (financial application). ...
8
votes
2answers
7k views
Best method for interpolating yield curve? [Multiple questions]
I'm building a spot curve for US Treasuries. My original selection of cash treasury include all the on-the-run bills, notes, bonds from 6 months to 30 years, as well as some selected off-the-run ...
1
vote
1answer
913 views
How does Bloomberg arrive at stub rate for swaps/floaters?
I'm trying to interpolate initial stub rate ( 'Index to' in the image ) for the following FRN pricing example.
Fixes on 2016/11/30
1m : 0.623670
2m : 0.742500
3m : 0.93417
Please be as specific as ...
3
votes
1answer
564 views
What techniques can be used to get the missing maturities from the CMT yields?
I have constant maturity treasury data from the h15 release of the FED, from which I use 6 month, 1 year, 2, 3, 5, 7, 10, and 20 year yields. I want to strip the zero coupon curve, but am not sure ...
2
votes
1answer
186 views
Introducing 1bp shocks to yield curve (and interpolation consequences)
Let us assume we have a LIBOR 3M curve and that I would like to introduce a small shock up/down of 1bp at a certain point along the curve. I am trying to find out what the best and most efficient way ...
2
votes
0answers
114 views
Interpolation of forward zeros-coupons bonds simulations for missing maturities (ESG data)
I have a set of economic scenarios simulated with Barrie and Hibbert ESG. The stochastic model for interest rates used is Libor Market Model Shifted. I am facing a problem with zeros-coupons prices.
...
2
votes
0answers
74 views
Using Market Prices of Bonds to Model the Discount Curve with a Polynomial (Math + R)
I have a small program I'm building to interpolate the discount curve from a portfolio of benchmark bonds. If anyone has any guesses as to whether it's my process, or my code that's messed up I would ...
0
votes
1answer
399 views
Interpolating on the BS parameters and injecting in the BS formula vs interpolating directly on option prices
Let's consider a simple European call option. In practice, the way the Black-Scholes formula is used to price it is by injecting all of the parameters and paying special attention to the volatility ...
2
votes
1answer
521 views
Cubic spline interpolation function within Matlab
I want to use the Cubic spline interpolation technique so I can interpolate yield curve points. Now I wonder if I can use the standard matlab function interpl1 (and then using the 'spline' method) or ...
1
vote
1answer
178 views
Interpolation for PDF from Cumulative Distribution
How to interpolate PDF(Probability Distribution Functions) from CDF (without root finding method) ?
Please tell the steps to do so.
Thanks.
3
votes
3answers
825 views
Interpolating probabilities of default
I have a table of cumulative probabilities of default of industrial bonds, in time and credit rating. It is similar to S&P whitepaper here. Basically, it looks like this (sample numbers):
...
1
vote
1answer
1k views
Interpolating spot rates given intermittent coupon-bond prices.
I'm trying to bootstrap spot rates given coupon-paying bond data. To simplify my problem, assume we are working with only 3 given data, the price/coupon rate on semi-annual bonds maturing in 0.5, 1, ...
2
votes
0answers
85 views
Multivariate interpolation for estimating FDM in-between grid points
After implementing some FDM to price some option, there are gaps between our grid points that may be of interest. From reading around, it appears common to use bilinear interpolation to estimate ...
2
votes
0answers
492 views
Funding spread in FVA calculation
For the FVA calculation, is the funding spread (either borrowing or lending) treated as a piecewise constant function (i.e., if the length of the exposure is 5 month and I know the 3 and 6 months ...
1
vote
1answer
1k views
Interpolation on CDS rates
I am just wondering if there is any way we could calculate a CDS Spread (not harzard rate) on a CDS curve. Most of the papers that I have come across so far discuss about interpolating the hazard ...
10
votes
2answers
553 views
Extrapolating implied volatilities to small time
Could anyone please direct me to literature or methods for extrapolating the implied volatility surface towards small expiry? I'm looking to price very short time to expiry binary options (e.g. 5 ...
2
votes
3answers
723 views
Smoothing Term Curve
Assume that we have current month term curve and the curves from the two previous months. The current curve may be shifted from the average of the previous two curve by some value (a parallel shift). ...
2
votes
0answers
1k views
Interpolate option volatility in delta space in R
I have a bunch of deltas and option implied vols at those deltas. I would like to interpolate them in R. Interpolating them in delta space seems difficult, since normally you would like the ATM calls ...
3
votes
1answer
156 views
Why for one year (and not two or three) government bonds (there is a spike for Switzerland & Denmark)?
On 10.10.2012, I have looked at the bond-rates and, both for Switzerland and Denmark, there is a discontinuity/spike at 1Y, as per below
Switzerland: ON= -0.09, 1W= -0.180, 1M= -0.230, 3M= -0.2, 6M= -...
11
votes
1answer
1k views
How do you estimate the volatility of a sample when points are irregularly spaced?
I was looking again at this question which basically haunts every quant I believe, and I was thinking about the effect of these gaps when computing volatility of the series.
Let's define the problem ...
13
votes
5answers
4k views
How to interpolate gaps in a time series using closely related time series?
I am trying to construct a daily time series of prices and returns for some large universe of securities. However, all I have available are a monthly time series of the prices/returns (as well as ...
