# Questions tagged [default-probability]

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58k views

### How to compute the implied probability of default from a CDS spread?

I have two tasks: Given country's CDS spread draw implied probability of default. Given probability of default calculate CDS spread. If possible, refer to any papers.
5k views

### How to use Merton model to calculate default probability with monthly stock prices?

I want to calculate the estimated default probability with only given data the monthly returns for the last 20 years, the risk-free rate ($R_f$), equity value (EV) and the face value of debt ($D$). My ...
888 views

### Term structure of default probabilities without market data

With the forthcoming new regulations, IFRS9, financial institutions will be required to model life time expected credit losses. Consequently, it is necessary to model the term structure of default ...
50 views

### 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 ...
171 views

546 views

### Extracting Default probability from a single CDS

I have to find the CDS's default probability using the simplest Poisson Process (intensity constant). I'm wondering how to get this estimate if I have only a CDS with maturity 5years. If I had ...
3k views

### What is Margin of Conservatism

In modelling loss given default,(LGD), we often encounter the term Margin of Conservatism. What is it in layman's terms? I am not able to find a wikipedia page on this.
3k views

### CDS Spreads and Equity Volatility

Why does CDS spreads track the implied volatility on equities? What is the fundamental relationship that would keep the two inline from deviating too far from each other? My speculation: Could it be ...
690 views

### Using Financial Ratios to get credit rating or PD

Hello I'm looking for papers, aside from ones that use CDS spreads, about credit rating development or estimating default probability based on financial ratios that also include methodology and maybe ...
133 views

### Pricing homogeneous Basket Default Swap

Consider a basket with $K=10$ names. Default times of the names, $\tau_k$, are i.i.d. random variables with distribution $P(\tau_k \leq t) = 1 - e^{-\lambda t}$. Suppose that each name in the basket ...
66 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 ...
198 views

### Girsanov theorem and default rates in bond credit rating

Default rates are kind of probabilities, right? Is it possible to use the Girsanov theorem in that context? For example if we have a table of real world probabilities, could we use the Girsanov ...
797 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): ...
3k views

### Implied Probability of Default from Bond Prices

I am trying to build out a probability of default model for a bond. Given the current price of a bond and the current risk free rate, I am trying to calculate the probability of default. So assume a ...
55 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 ...
122 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 ...
404 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 ...
148 views

### Price of a Bond-Call option in the defaultable framework

I would like to compute the price for a Call option written on a defaultable bond as underlying. Suppose you have the following dynamic under the risk free measure $\mathcal{Q}$ for the interest rate: ...
83 views

### Portfolio diversification on default risk

A portfolio of 13 different companies have loans. Company $i$ default on their loan with probability $p_i$ and survive with prob $q_i=1-p_i$. Let $Y_i=1$ denote default. Question: How could I get to a ...
2k views

### Actually benefiting from logistic regression to estimate probability of default

Does anyone know any events where using logistic regression to estimate probability of default has led to a bank, financial institution, government or anything really to benefit in practice? I see a ...
14k views

### Cumulative vs marginal probability of default

I understood the cumulative (aka unconditional) probability of default to be the probability of defaulting in a given period eg: between years 1 and 5. Further $\pi_{cumulative} = 1-e^{-\lambda*t}$ ...
207 views

### Probability of Hyperinflation as a function of Probability of Soverign Default

I'm looking for some academic research on modeling risk of hyperinflation. Specifically, I'm interested in modeling the probability of hyperinflation over some time interval (e.g., probability of ...
198 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/...
172 views

### LGD/PD Databases

I am trying to compare LGD/PD for Banks and other financial institutions using different approach thank Merton. Are there any publicly available data on which I can build? Thanks.
82 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 ...
252 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. ...
60 views

### Problem of PD estimation [closed]

Why is small number of defaults is a problem in case of PD estimation? What are the consequences? Can you recommend notes, books, etc about the topic?
77 views

### How exactly are correlated defaults used/analyzed?

I've read a lot about correlate defaults but I can't seem to understand how they're used practically in a portfolio theory setting. Suppose I have two (?) companies, X and Y, and historic default ...
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### 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 ...
76 views

### PD validation in the low/no default setting

The topic of this question is the validation as prescribed in the Basel N ($N \ge 2$) framework. The task is given the probability of default $p_k$ for $K$ rating classes at time $t$ and the outcome ...
173 views

### Three-state Markov Chain: Credit rating question

Consider a credit-rating system, with two solvency states (A & B) and a default state (D), and assuming recovery rate and interest rate are 0%. The one year credit spread for an A-rated company ...
318 views

### Altman Z-Score model for PD calculation [duplicate]

I am approaching you with one important for me question. I have a task to calculate probability of default for our clients. I used an Altman Z-Score model to calculate the Z-Scores for each client. ...
404 views

### Is exposure at default the same thing as the limit amount on a loan?

In Credit Risk terminology, is the Exposure at Default(EAD) the same thing as the total Credit LIMIT amount on the Loan? Because if Bank gives a loan with a limit of 10,000\$ and the borrower has a ...