Questions tagged [default-probability]

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59 views

Estimation of the probability of default for the expected loss model (IFRS9)

Hey guys I have to do a calculation for my BA. More precisely, I have to determine the expected loss of a company. For this I need the probability of default. What options do I have to determine this ...
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1answer
56 views

IFRS9 - Lifetime Expected Credit Losses (ECL) Probability of Default (PD) - how do they get distributed in quarters?

Let's assume we calculate a Lifetime ECL of 5 years. How do we then distribute the expected losses in each of the following 20 quarters? Do we just divide the lifetime ECL by 20 and calculate the ...
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1answer
59 views

Probability of Default calculation

I am looking for some good resources with handful of workout examples, on the modelling of the Probability of Default under IFRS9...
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1answer
73 views

Estimation of Default Probability using Merton's model

There is an explanation of Risk Neutral Default Probability using a Firm's Equity price here - https://www.mathworks.com/help/risk/default-probability-using-the-...
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31 views

Estimation of Default Probability from Bond

Typically the formula to calculate the default probability from corporate Bond looks like $\frac{S}{1-R}$ where $S$ is the ...
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120 views

How to apply Kalman Filter to GDP data?

Once reverted the Merton/Vasicek formula I could compute the $PD^{PIT}$ for IFRS9 as $PD^{PIT}_i(z) = \Phi \left( \phi^{-1}(PD^{TTC}_i) \sqrt{1-\rho_i} + \sqrt{\rho_i}z\right)$ The main issue is to ...
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3answers
100 views

Bond prices and probability of default

We learn in Finance 101 that the price of a bond is the present value of future cash flows. There is no mention of default risk. Still, bond prices move each day, without a change in the payment ...
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52 views

Longer / Shorter period loss

I am struggling on I think a quite simple issue. Let's take a portfolio of 100 loans. If we assume they are independent, each loan’s default is a Bernoulli with parameter $p=0.01$ over a certain time ...
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1answer
123 views

Use of PIT vs TTC PD in a Merton one-factor model

Under one-factor Merton framework, like Basel, you use unconditional PDs as input of the portfolio model and this "unconditional" means it is a TTC-PD. Given a i-th borrower, the default ...
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33 views

Concavity of Cumulative Accuracy Profile curve

I am writing my thesis for the default probability estimation in low default portfolios. One way to estimate the probability of default is from the Cumulative Accuracy Profile (CAP) curve (Marco Van ...
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2answers
134 views

CVA Probability of default

I have to estimate CVA for an exotic option. I used Monte Carlo method to price the option with 1000 number of simulation, maturity = 1 year, and 360 time steps. So I have two questions: I've read in ...
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36 views

Definition of defaults via unobserved assets

Sorry if my question is a bit basic. I am considering the default model as used eg in Vasicek (I think this goes back at least to Merton, though) that looks at an unobserved quantity modeling the ...
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1answer
73 views

A model for probability of credit rating change for a single issuer

I am looking to model the probability of a single issuer upgrading or downgrading it's credit rating at some time using historical data. I have done research and everything I have found so far are for ...
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11 views

Credit Migration: Risk [duplicate]

Hi I am given two tables of two tables showing data about fictional corporate business partners and relevant credit risk data – ID, rating, probability of default (PD, defined by rating), loss given ...
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20 views

Financial models under the defprobstrip() command in Matlab 2020a

what is the financial theoretical model below - defprobstrip() - hazardrates() - survprobs() contained in https://www.mathworks.com/help/fininst/examples/...
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57 views

CreditRisk+ spreadsheet implementation

I'm looking for an Excel spreadsheet where the CreditRisk+ model is implemented by means of a simple toy example, like the one the linked paper is referring to. If that spreadsheet is unavailable, I ...
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1answer
71 views

MATLAB - Probability Default with CDS Bootstrapping

I have not understood which "zerorati" I must use for the bootstrap of the PD from the curve of the CDS spreads. Can you help me please? I consulted O'Kane (2008) and Brigo and Mercurio (2006), but I'...
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24 views

Individual Credit Risk Data - Probability of Default

Given the current coronavirus-induced financial crisis and the possibility that it evolves in an economical crisis trough Companies (See: Credit Is the Scariest Market to Watch, Not the Dow or S&P)...
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35 views

Derivation of the 99.9% CI to a 1 in a 1000 year event

Keen to understand how BASEL derived the 1 in a 1000 year event from the CI 99.9%: The confidence level is fixed at 99.9% (0.999) (i.e. a bank is expected to suffer losses that exceeds its capital ...
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1answer
97 views

Marginal Probability of Default for Credit Risk

I am working on a model to predict credit defaults. We have worked out PD's of clients using logistic regression. When calculating the default amount, we have to convert PDs to marginal PDs. The ...
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1answer
144 views

PDs for negative credit spreads

My question is about credit spreads and the corresponding probability of default (PD). One of the most simple relations between credit spreads and PDs is (see e.g. ch7 in Malz(2011)) $$ PD \approx \...
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1answer
96 views

Linking PD and LGD

I am trying to solve the equation for PD but struggling to bring it to the LHS. Any ideas as to how I can do that? $$ LGD = \frac{\Phi \left [ \Phi^{-1}(DR) - \frac{\Phi^{-1}(PD)-\Phi^{-1}(PD\cdot ...
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3answers
121 views

PD and LGD for ECL calculations needs to be time dependent?

I'm studying the implementation of an expected credit loss (ECL) model. I have encountered a complication. Do I need to calculate a probability of default (PD) and loss given default (LGD) with a time ...
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1answer
440 views

Implied probability of default (CDS spread)

After some googling, I have made some progress but not enough to come to a conclusion, so here we go: Given that the CDS spread of a counterparty is 100bp (flat across time) and that the risk free ...
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0answers
270 views

PD calibration using Bayes formula

When calculating ECLs for loans under IFRS 9, one of the requirements is that the PD estimates have to be Point-in-time ($PD_{PIT}$) rather than through-the-cycle ($PD_{TTC}$).The setting is as ...
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1answer
189 views

Reproduce CDS Index Default Probability via Tranche [0,100] Probability

The tranche survival probability up to time $t$ between attachment $K_1$ and detachment $K_2$ is defined as $$Q(t,K_1,K_2) \quad=\quad 1 - \mathbb{E}[L(t,K_1,K_2)]$$ with tranche loss function $$L(...
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19 views

Are Muni REVENUE bonds secured or can the local gov. use the revenues for other purposes not paying the bond holders if its going bankrupt? [closed]

Municipal bonds are of two kinds: GO (General Obligation) Bonds or Revenue Bonds. My question on Revenue Bonds is: are the revenues from the specific project secured or can the local government use ...
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70 views

Using transaction data to predict default of the customer

I am trying to build a prediction model that utilize the huge transaction database of all the customers of a bank. My dataset currently looks like this: ...
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0answers
143 views

Normal default probability vs forward default probability/conditional default

is the diagram correct in calculating foward PD(conditional default) ? Or should the formula be Probability of default = probability of survival x forward PD Which of this is equal to marginal PD(...
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88 views

Credit spread model

Let $c(t,T):=-\frac{1}{T-t}[\mathrm{ln}(P_1(t,T))-\mathrm{ln}(P_0(t,T))]$, with: $c$ measure of how a company is prone to fail; $P_0(t,T):=e^{-r(T-t)}$ price of no-defaultable bond. $P_1(t,T):=\...
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62 views

Poisson distribution and counting process

Let $\begin{Bmatrix} N_t \end{Bmatrix}_{(t\in[0,T])}:=\mathbb{I}_{(\tau \leq T)}:=k, \forall t \in [\tau_{k}\leq \tau_{k+1})\sim \mathrm{Po}(\lambda_{t}:=\int_{0}^{t}\lambda_{s}ds<+\infty)$ a ...
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2answers
237 views

CDS, default probability and bond price

When we calculate the implied default probabilities from CDS, can we use that information to price bonds? I am getting familiar with Fixed Income. I saw textbooks using implied default probabilities ...
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0answers
64 views

Extracting Risk Neutral Default Probabilities using Option Adjusted Bond Prices

I am currently in a project trying to quantify default risk premia for US Corporate Bonds. The data I have consists of bond prices, and other information (i.e. YTM, OAS, Effective Duration, Maturity ...
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1answer
179 views

PD for ECL modelling

I am trying to understand the interrelations between the marginal, cumulative and conditional PDs (Probabilities of Default) when modelling ECLs (Expected Credit Losses). My current understanding is ...
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2answers
268 views

Portfolio - Default Probability

Suppose we want to identify the frequency of default on a portfolio with a 1000 loans. In the independence case, each firm’s default process follows a Bernoulli distribution with parameter $p = 0.01$. ...
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43 views

How to convert a vector of bonds ZC Spreads into default spreads

If we consider a set of bonds issued by a given entity that are quoted on the market, one can get for each of those bonds a ZC spread on top of reference swap curve (say the bonds are in USD and so we ...
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55 views

Gaussian copula: contract price

The hazard rates for A and B are 1% and 2% respectively. A contract pays you $1 if A defaults earlier than B. What is the correlation that minimizes the price of the contract? I have not studied the ...
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1answer
175 views

Risk-return ratio using ML default probability

I have access to a very large bond database (>20m rows) where 50% of the set are matured bonds for which a dummy variable identifies whether the bond defaulted or not. The remaining 50% are 'live' ...
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1answer
1k views

Deriving default probability from CDS spread via stripping

I am currently trying to derive the cumulative probability of default from a CDS spread where the LGD is 30% and there are quarterly premiums including the accrued premium. ...
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3answers
285 views

How to estimate market based PD and LGD for small enterprises?

I am estimating CVA/DVA for derivatives... How to estimate PD and LGD (or RR) based on market data for the small enterprises, if there is no external rating for them and they don't have bonds or ...
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1answer
675 views

Probability of default: issuer vs volume weighted

Some probability of default are issuer-weighted and some are volume-weighted. I don't understand what this means. I had a look into Moody's documentation available here: https://www.moodys.com/sites/...
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1answer
73 views

Forecasting default rates using a macroeconomic model

I am trying to forecast corporate default rates using macroeconomic data. I have a few explanatory variables (all the variables are explained in figure 2), which range from 2000 to 2017. On this ...
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1answer
953 views

CVA - Where does the default probability (PD) come from?

Some authors use CDS from the market to derive the implied default probability (from a risk-neutral point of view). I wonder: how exactly does a CDS reflect counterparty risk? Let me put an ...
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68 views

How to determine the default probability of a county in a bond that is not in its native currency?

Disclaimer: This post is cross posted in here also. Consider the following case: Country P uses the currency Euro and gives p percent interest on a one year bond issued in Euro. Country Q uses the ...
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1answer
668 views

credit risk - marginal default probability

I have been working on an assignment trying to calculate marginal/conditional probability of default. Using a logistic regression framework, I was able to compute the 12-month unconditional PD for ...
2
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1answer
93 views

Objective measure of highly leveraged firms using Debt-to-EBITDA ratio

I am looking for some kind of guidance what is generally considered a high or low ratio of Debt-to-Earnings before interest, tax, depreciations and amortisations (EBITDA). In a recent article by The ...
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1answer
53 views

Heuristic (or algorithm) for calculating a risk premium, given a probability of default and a “minimum” profit margin (expressed as a yield)

Assuming that I have means of determining and calculating the following metrics: Risk (i.e. probability*) of a default to a particular borrower as P Profit margin of X% The profit margin is taken to ...
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Quantitative and regulatory aspects of portfolio integration in IRB credit portfolios

Say bank A buys a credit portfolio "B" (e.g. corporate loans or retail mortgage, ...) from bank B. Bank A fulfills the the requirements of CRR (capital requirement regulation) for its existing ...
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2answers
638 views

Merton model for Probability of Default - What liabilities?

In Merton structural model for credit risk (74), the company's Assets and Liabilities are used to imply the default probability of the firm. At the end, we don't need to know the assets value, and ...
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1answer
2k views

From quoted spread and coupon to upfront, and vice versa : which recovery rates and when?

Echoing the following question : Markit recovery rates : assumed vs real I would like to have a confirmation on my understanding on the matter. Markit provides data for CDS, namely, for tenors ...