Question
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): Assets
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):
Assets | Liabilities | |||
Cash reserves | 50.0 | Checking and savings | 80.0 | |
Auto loans | 100.0 | Certificates of deposit | 100.0 | |
Mortgages | 150.0 | Long-term financing | 100.0 | |
Total Assets | 300.0 | Total liabilities | 280.0 | |
Owner's equity | 20.0 | |||
Total liabilities and equity | 300.0 |
When you analyze the duration of loans, you find that the duration of the auto loans is 2.0
years, while the mortgages have a duration of 7.0 years. Both the cash reserves and the checking and savings accounts have a zero duration. The CDs have a duration of 2.0 years, and the long-term financing has a 10.0-year duration.
What is the duration of Acorn's equity? The duration of the assets is ___ years? (Round 2 decimal places)The duration of liabilities is how many years? (Round 2 decimal places) The duration of the equity is how many years? (Round 2 decimal places)
Suppose Acorn experiences a rash of mortgage prepayments, reducing the size of the mortgage portfolio from $150.0 million to $100.0 million, and increasing cash reserves to $100.0 million. What is the duration of Acorn's equity now? The duration of the assets is ___ years? (Round 2 decimal places). The duration of the equity is ___ years? (Round 2 decimal places)
If interest rates are currently 4% and were to fall to 3%, estimate the approximate change in the value ofAcorn's equity. (Assume interest rates are APRs based on monthly compounding.)
We would expect the value of Acorns equity to (rise or drop) by approximately what percent? (Round 2 decimal places)
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? They should (buy or sell) how many million worth of 10-year STRIPS? (Round 2 decimal places)
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