Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
4th Edition
ISBN: 9780134083278
Author: Jonathan Berk, Peter DeMarzo
Publisher: PEARSON
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Chapter 30, Problem 12P

You have been hired as a risk manager for Acorn Savings and Loan. Currently, Acorn’s balance sheet is as follows (in millions of dollars):

Chapter 30, Problem 12P, You have been hired as a risk manager for Acorn Savings and Loan. Currently, Acorns balance sheet is

When you analyze the duration of loans, you find that the duration of the auto loans is two years, while the mortgages have a duration of seven years. Both the cash reserves and the checking and savings accounts have a zero duration. The CDs have a duration of two years and the long-term financing has a 10-year duration.

  1. a. What is the duration of Acorn’s equity?
  2. b. Suppose Acorn experiences a rash of mortgage prepayments, reducing the size of the mortgage portfolio from $150 million to $100 million, and increasing cash reserves to $100 million. What is the duration of Acorn's equity now? If interest rates are currently 4% but fall to 3%, estimate the approximate change in the value of Acorn’s equity.
  3. c. Suppose that after the prepayments in part (b), but before a change in interest rates, Acorn considers managing its risk by selling mortgages and/or buying 10-year Treasury STRIPS (zero-coupon bonds). How many should the firm buy or sell to eliminate its current interest rate risk?
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