# Questions tagged [discount-factor-curve]

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### 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 ...
1 vote
289 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?
207 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
64 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
110 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
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. ...
252 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 ...
179 views

### FX Reset in MTM Xccy Swap - Curves & Collateralization

Background Suppose I look into a EUR-vs-JPY Cross Currency Basis Swap with MTM feature (i.e., including quarterly resetting notional on one of the two legs). Cashflows are projected off the ESTR & ...
294 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 ...
188 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? ...
65 views

### How to discount zero curve from settlement date to today's date

I am new to curve building. I understand that usd libor and sofr instruments have a settlement lag of 2 days. I believe that means that the start date of the libor and sofr curves will be in 2 days. ...
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 ...
65 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 ...
1 vote
336 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 ...
166 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. ...
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 ...
394 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 ...
6k 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
417 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 ...
502 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 ...
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
367 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 ...
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 ...
389 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
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 ...
455 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 ...