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Questions tagged [discount-factor-curve]

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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 ...
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1answer
73 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 ...
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1answer
135 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: <...
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1answer
442 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: ...
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1answer
364 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 ...
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1answer
464 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 ...
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2answers
358 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 ...
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1answer
277 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(...
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1answer
139 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 ...
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3answers
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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 ...
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0answers
328 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 ...
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1answer
103 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 ...
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0answers
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Discount curve from spot rates for bond pricing

I have a bond with the following cash flow and maturity: ...
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1answer
253 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 ...
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1answer
124 views

Discount factor

Suppose we have : $r$ - zero coupon rate, constant over time, $n$ - a number of years (an integer), $\theta$ - a fraction of a year $(\theta < 1)$ , calculated with the relevant day count ...
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1answer
335 views

Zero-rate USD Curve

Good day, I have inputs: Libor 1D, 1M, 2m, 3m. FRA 3x6, 3x9, 3x12 IRS 2Y, 30Y. What formula should I use to construct zero rate curve? Thanks
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1answer
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Valuing corporate EUR loan of US entity? Which discount rate to use? US or EU?

If a US entity borrows in EUR and I need to perform a DCF valuation on that borrowing, should I use USD based curve (for the appropriate rating) or EUR based curves? In other words do I use the ...
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1answer
202 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 ...
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1answer
2k 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 ...
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2answers
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Build spot rate curve with multiple treasuries for each maturity

I have the following treasuries: T 0 1/4 01/31/15 at 100.1236 T 2 1/4 01/31/15 at 101.1257 T 0 1/4 02/15/15 at 100.1251 T 4 02/15/15 at 101.9994 T 11 1/4 02/15/15 at 105.6269 T 0 1/4 02/28/15 at 100....
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1answer
932 views

negative discount and zero rate on swap bootstraping

Hi I am writing a program to Bootstrap a EURO zero swap-curve for tenor 3M and 6M with given bid and ask. When I run the program , I get a negative zero rate and discount factor from 5Y till 30Y for ...
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2answers
1k views

Curve Euribor - Euribor 3M

I'm setting up some Euribor 6M and Euribor 3M curves. So far i have all the data and quotes i need, but i'm having trouble defining the firsts points of the curve. I'm currently using 6M Euribor and ...
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1answer
1k views

Incoherence in Bloomberg Data in Swap Curve Builder (ICSV)

When working on calibration for LMM model, we need to have Initial Libor quotes and Swaptions Black vol quotes on the market data. We have data provided by Bloomberg. However, before performing the ...
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2answers
321 views

How is the price of a bond actually determined?

How the price of a bond is actually determined? Is it the supply-demand that determines the price first and then the YTM is calculated on the back of this for that bond. Or is it that the changes to ...
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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 ...
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1answer
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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 ...