# A five-year fixed-rate loan of $100 million carries a 7 percent annual interest rate. The borrower is

## Question:

a. What is the present value of the loan at the end of the one-year risk horizon for the case where the borrower has been upgraded from BB to BBB?

b. What is the mean (expected) value of the loan at the end of year 1?

c. What is the volatility of the loan value at the end of year 1?

d. Calculate the 5 percent and 1 percent VARs for this loan assuming a normal distribution of values.

e. Estimate the approximate 5 percent and 1 percent VARs using the actual distribution of loan values and probabilities.

f. How do the capital requirements of the 1 percent VARs calculated in parts (d) and (e) above compare with the capital requirements of the BIS and Federal Reserve System?

## Step by Step Answer:

**Related Book For**

## Financial Institutions Management A Risk Management Approach

**ISBN:** 978-0071051590

8th edition

**Authors:** Marcia Cornett, Patricia McGraw, Anthony Saunders