# Questions tagged [transition-matrix]

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### Fitting transition matrices in R by solving for coefficient

I'm using various matrices to impute a fitted transition matrix for credit ratings by solving for a variable [S]. Essentially the idea is to determine a base matrix and stress matrix to compare to a ...
468 views

### Deriving credit spreads or migration matrices from prob of default

How do I derive credit migration/transition matrices or spreads from default probability? May you please provide references, or do you know what type of articles or authors to find?
1k views

### Scaling of a transition matrix

I am working on a ratings transition matrix and I wondered how people scale it down to shorter time periods (although one should more or less stick to the estimation period i know). It is clear that ...
433 views

### Price of Bond given credit state matrix

"Consider a credit rating system consisting of four states, A,B,and D(default) with the following annual credit transition probability: A= [ 0.7, 0.2, 0.1; 0.2, 0.5,0.3; 0,0,1] For a company rated B,...
300 views

### How to perform significance test on transition matrices

Say you have in your hand a transition matrix published by Moody, and you also collected the rating information for a sample of bonds, which you use to form your own transition matrix. How can we use ...
661 views

Consider a credit rating system consisting of three credit states, A, B and D (default) with the following annual credit transition probability: T = [0.7 0.2 0.1;0.2 0.5 0.3; 0 0 1]. For a company ...
131 views

### Calculation of the Transition matrix for Credit rating

Let say, I have Cumulative default rates for various credit rating as below - Given this, how can I calculate the typical ...
110 views

### Mapping FICO score to PD or Moody's Rating

I need to analyze the risk of a fund with various types of credits, such as consumer, student, and real estate. These categories all have FICO credit scores. I need to assess the risk of the fund ...
88 views

### Evaluating Fama French 3 factor model Using Fama Macbeth

Hi Can someone please explain me how the cross sectional calculation can be done. For an example, I'm having a vector like this. Vector 1: This is the vector where all the excess returns for n ...
203 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 ...
15 views

### Calculation of the Transition probabilities for Credit risk calculation

Typically the Transition probabilities for Credit migrations in a typical Transition matrix are given in ...