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Questions tagged [discount-factor-curve]

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1 answer
53 views

swap curve calibration with interpolation using newton-like method

suppose 2 swap market quotes for 1Y and 2Y and that swap payments occur semi-annually. calibrating / obtaining the discount factors means finding 4 unknowns / discount factors that reproduce the ...
1 vote
1 answer
333 views

What discount rates should I use to price a municipal bond with unknown market price?

I have a payoff structure but I do not know the price of the bond. The bond is municipal. What discount rates should I take for each period in order to calculate its fair price?
0 votes
0 answers
90 views

Bloomberg Interest Rates Swaps Curve Fitting in the presence of Serial FRA

The documentation points to a different approach than the standard linear in log discount factors. The EURIBOR 6M curve 45 is the prime example. Does anyone understand the implementation details of ...
2 votes
2 answers
230 views

QuantLib Python - Discount Factor Interpolation within curve nodes

Generated a discount curve, dCurve.PiecewiseLogLinearDiscount() using input par rate for terms (.5Y, 1Y, 2Y, 3Y, 5Y, 7Y, 10Y, 15Y, 20Y, 30Y) and output discount curve matching the input term structure....
1 vote
0 answers
204 views

Convert US Treasury par yields to spot rates

I'm devising a methodology to transform par yield to spot rates, I'd like to stick with pure python as much as possible so not really after Quantlib (or other libraries) examples. In particular I want ...
0 votes
0 answers
526 views

Why is the log of the discount curve used?

I was reading here: SAP S/4HANA Software Documentation Calculation Methods for Interpolating the Yield Curve The option Linear Interpolation of Log( Discount Factor ) means the system keeps ...
1 vote
0 answers
75 views

From Discount Factor to Zero rate [duplicate]

Hello guys, starting from this picture, which is the method that you usually use in order to find Zero Rate from Discount Factor? Thank you in advance
0 votes
0 answers
171 views

QuantLib: Getting the present value of a leg of cashflows using a 'risk-free' yield curve

I am trying to evaluate the present value of some cashflows and QuantLib does not return the discount factors that I am expecting. I have a Risk Free (Zero Coupon Bond) Yield curve: ...
1 vote
1 answer
1k views

discount factor, zero rates, zero curve from BBG

How can I calculate the discount factor for row 1? I would do $$ \frac{1}{(1+ 2.13763/100)^{(90/360)}} = 0.994726197703956 $$ My ultimate goal is to reproduce the Zero Rates. Any hints welcome. ...
0 votes
1 answer
364 views

Quantlib interpolated zero rates not as expected

I have created a piecewise linear zero curve using quantlib (c++). It's a NACA, modifiedFollowing swap curve. When I extract the zero rates on the pillar dates the rates line up with what is expected ...
1 vote
0 answers
397 views

Quantlib: swap curve discount rate from spot rates

I'm new to Quantlib on Python and I'd like to use the overnight swap rate from Bloomberg to derive the swap curve discount factors. I don't know which yield term structure I should specify? I checked ...
0 votes
2 answers
290 views

Discount factors curve shapes

I have 2 discount factor curves; DF 1 I expected every DF curve to have the shape of the 2nd one (almost a straight line), what does it mean economically when a DF curve has the shape of the 1st one? ...
4 votes
3 answers
5k views

What curve are you shifting when you calculate DV01 for a swap?

I understand that a general swap has 4 curves attached to it: the flat forecast curve associated with the fixed leg, the forecast curve associated with the floating leg, the fixed leg discount curve ...
0 votes
0 answers
67 views

Single Curve Problem - due to Basis [duplicate]

I recently came across the single curve problem that states that we need differenct curves for discounting cashflows and projecting forward floating rates. On google I am not able to find a proper ...
2 votes
1 answer
462 views

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 ...
3 votes
0 answers
178 views

Methodology to build a Fed Funds curve post LIBOR cessation

With the transition from LIBOR to SOFR, what is the market standard for building a Fed Funds curve? In the "old days", I believe that one would use Fed Funds futures for the front-end (i.e. ...
7 votes
1 answer
2k views

SOFR Discount Curve Construction in Nov 2021

On July 29, 2021, the Alternative Reference Rates Committee (ARRC) formally recommended the forward-looking term rates based on SOFR published by the CME Group. CME currently publishes Term SOFR for ...
0 votes
1 answer
479 views

How do I calculate Hull White's Theta from the discount curve?

The Question I'm currently implementing the a finite difference method for the Hull-White model, shown below: $$\mathrm{d}r(t)=\lambda[\theta(t) − r(t)]\mathrm{d}t + \sigma\mathrm{d}W(t)\tag{1}$$ This ...
2 votes
3 answers
7k views

Discount Factors to Zero Rates

I have obtained a Ibor-6Months curve using bootstrapping techniques. For the short-term of the curve I used spot, for the middle-term FRAs and for the long-term IRS. The curve that I have obtained is ...
1 vote
2 answers
530 views

Calculating the short rate from the discount curve

I'm currently looking at some code that implements the Hull-White model. As one of the inputs, the code accepts a table of discount factors at various dates. Time in Years Discount Factor 0 1 0.003 ...
0 votes
1 answer
585 views

How to Validate and Test a Discount curve (i.e. SOFR, LIBOR, ESTR)

Let's say an Interest Rate/Discount Curve (SOFR, ESTR, LIBOR or any other) is bootstrapped using the standard inputs and market quotes for Cash, Futures, Bonds/Swaps. What are the metrics to be looked ...
4 votes
2 answers
3k views

Swap curve construction

I am new to this area so my question might be basic to many but please answer. For valuing interest rate swaps how will we define which curve to take, like sometimes we use usd 3m curve, or usd 3mv 6m ...
1 vote
1 answer
394 views

Current discount rate of Hull White One-Factor Monte Carlo Simulation

I have a question about the Hull-White One-Factor Monte Carlo Simulation. As we know under the Hull-White One-Factor Model, the short rate follows a random process. So basically, every simulation path ...
2 votes
1 answer
3k views

Discount Curve built-up

For a particular currency, let's say for USD, I'd like to know how to construct a discount curve? I've an impression that one professor told me that for USD, less than 3 months, it's using Libor ...
3 votes
1 answer
486 views

When we try to build curves, why we need fixings?

When we try to build a curve, we somehow need "fixings". Looks like it is when the market data created date less than the evaluation date, we put that market data into fixings. I don't really under ...
1 vote
1 answer
3k views

Using Discount Rates and Zero rate curve from Bloomberg in Quantlib

I'd like to use the Discount Rates and Zero rate curve from Bloomberg instead of deriving the rates from the yield curve. Can someone share a sample code to use these rates directly in VanillaSwap or ...
0 votes
2 answers
489 views

Extrapolation between today and the spot date curve building

I'm trying to build my libor curve using (Deposit, FRAs and Swap) instruments with the goal that my curve match the murex curve, my parameters are : My today date is : 23/10/2019 Start of my deposit ...
5 votes
3 answers
601 views

Curve building dates overlapping impact on discount factor

I'm building a short end of the libor curve using deposit & fra due to overlapping in dates I get wrong values of Discount factor, here's the data i'm working with: My today date is : 23/10/2019 ...
1 vote
1 answer
1k views

Constant continuous forward rate interpolation

Assume that the continuously compounded forward rate is constant between two node points. What is the interpolated discount factor between these two points? So you have the two discount factors $D_{...
-1 votes
1 answer
291 views

Basis Swap Dual Curve Calibration

The long end of the Libor swap curve needs to be constructed from Basis Swaps because there are no other instruments traded. Can please someone explain the concept of Dual Curve Calibration?
1 vote
1 answer
152 views

Swaps curve building with Deposit, FRAs & Swaps

I'm new to curve building with Deposit, FRAs & Swaps, I understand the process the main struggle I've is with day conventions and swap delays,cash delays, pay delays ... it's hard to find a book ...
2 votes
1 answer
327 views

Curve building for a swap

I'm a student learning how to build a swap curve, I've deposit 6m rate = 5%, fra 6-12m rate = 5.8% and 12m-18m rate= 6% and swap 2y =7% and 3y swap rate = 7.5%. I get the correct discount factors for ...
1 vote
1 answer
2k views

Calculating Discount Margin on a floating rate bond using QuantLib

Going off Luigi's hint on this answer: Setting up Schedule for an amortizing floater in QuantLib I was able to cobble something together but I'm unable to verify if it's correct. TLDR: I was able to ...
3 votes
2 answers
546 views

Correct Discount Curve for Exchange Traded (Centrally Cleared) Products

What's the correct discount curve to use for exchange traded products? Would these be discounted at the OIS rate (because of the central clearing house)? E.g. the E-Mini S&P500 Future @ CME: I'm ...
6 votes
1 answer
2k views

Why are multiple custom curves (swap) built for one desk?

Currently in a journey of learning and getting my hands a bit dirty with Interest Rate Swaps. Why there are multiple customized curves built by many even within one desk? For e.g. Short Rates desk ...
2 votes
1 answer
523 views

Convexity in interest rate curve bootstrapping

Whether the bootstrapping is a multicurve one or not, one can use futures quotes. One link these quotes to corresponding (synthetic) forwards (that can be expressed as known functions of zero-coupons) ...
1 vote
0 answers
68 views

How do I calculate from discountfactor to zerorate in Python using Quantlib [closed]

I knew rate to discountfactor InterestRate.discountFactor(yearFraction) I want to calculation discountfactor to zerorate
12 votes
3 answers
3k views

Deriving Interest Rates

I am trying to teach myself about interest rate swaps, how they are priced, etc... Easy enough - just comparing cash flows of fixed and floating rate bonds. However, what I'm struggling with is how ...
0 votes
1 answer
1k views

How to use USD OIS discounting for local currency uncollateralised swaps?

I am wanting to do MTM valuations of uncollateralised swaps as our banks have switched to using the USD OIS curve for their discounting (assuming no xVA adjustments). None of the cashflows we are ...
0 votes
1 answer
219 views

Bootstrap discounted cash flow

I'm trying to follow the case study here and wasn't able to get the same discounted cash flow table as is shown in step 3 under Part II. bootstrap discounted cash flow Below is the cash flow table I ...
1 vote
1 answer
2k views

Understanding DiscountCurve in quantlib

I want to create a TermStructureHandle handle in python using quantlib. I use the DiscountCurve class and enter the list of dates and discount factors as follows: <...
2 votes
1 answer
3k 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: ...
1 vote
1 answer
553 views

Characteristics of a Discount Curve

Does the discount curve used for discounting cash flows have to be a zero coupon, annual compounding, actual by actual day basis curve? In practice, does a curve used for discounting necessarily have ...
0 votes
2 answers
5k views

In curve building: How to calculate interest rate (discount factor) for period before first known effective date

I am building a curve using par swaps rates. For example, I have the following two semi-annual swaps for input Duration start end rate 1year 14-Nov-2011 14-Nov-2012 ...
2 votes
1 answer
2k views

OIS Discount Factor Bootstrapping - Do we assume simple interest?

When I am reading papers (ie here and here) on bootstrapping discount curves they refer to obtaining discount factors from rates for swaps maturing less than a year with: $$D(t, T_i) = \frac{1}{1+s_i(...
4 votes
0 answers
812 views

Equations for multicurve calibration with OIS discounting

I am trying to calibrate my forecast and discount curves using the multi-curve approach with OIS discounting. To do so, I have a implemented multivariate Newton-Raphson root finder. I am finding a bit ...
2 votes
1 answer
391 views

Dual discounted forward curve

I was wondering how to calculate the forward rates based on OIS discounting for the half year terms. I know how to do this for the full year terms -> just making sure that the two legs are equal to ...
2 votes
1 answer
226 views

Determining discount factors for non-standard maturities

Let's say we'd like to find a par rate for a 1 month forward starting 20-year interest rate swap. In this case, we'd need to discount cash flows for the payment periods shifted +1 month from standard ...
1 vote
0 answers
155 views

Discount curve from spot rates for bond pricing

I have a bond with the following cash flow and maturity: ...
2 votes
1 answer
480 views

Discount factor taking into account yield curve shape

I have always been told that the discount factor formula is just: $$ DF(T) = \frac{1}{(1+L_{t_0})^T} $$ where $L_{t_0}$ is the LIBOR rate on one period (the first one I guess) and $T$ the number of ...