Rockville Bank is reviewing its loan portfolios to estimate how diversified their portfolios are. For internal purposes,
Question:
Rockville Bank is reviewing its loan portfolios to estimate how diversified their portfolios are. For internal purposes, the Bank assesses credit risk into four categories – High Quality, Average Quality, Poor Quality, and Default. Over the years, the following transition matrix has evolved:
From/to | High | Average | Poor | Default |
High | 80% | 15% | 4% | 1% |
Average | 10% | 65% | 20% | 5% |
Poor | 5% | 15% | 55% | 25% |
For example, a loan rated High Quality this year has a 80% probability of remaining High Quality next year, a 15% probability of falling to Average Quality, and so on.
Based on this data, if
This year the portfolio contains $1,050M of High Quality, $325M of Average Quality, and $85M of Poor Quality loans, giving a total loan portfolio of $1,460M.
a. Estimate the loan portfolio mix in one year.
b. Suppose the bank wishes to maintain the current relative mix of credit type, High, $1,050M/$1,460M = 72%, Average, $325M/$1,460M = 22%, and Poor, $1,050M/$1,460M = 6%. How many new loans and of what type must the bank sell during the year to maintain this relative mix?
Quantitative Methods for Business
ISBN: 978-0324651751
11th Edition
Authors: David Anderson, Dennis Sweeney, Thomas Williams, Jeffrey cam