A Bank is developing a loan policy of $ 10 million, for the allocation of capital as
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Question:
A Bank is developing a loan policy of $ 10 million, for the allocation of capital as follows:
Type of loan | Interest Rate | % of debt not paid |
Personal | 0.15 | 0.1 |
Automobile | 0.14 | 0.07 |
House | 0.13 | 0.01 |
Agricultural | 0.125 | 0.05 |
Commercial | 0.11 | 0.02 |
Unpaid debts are not recovered and do not produce interest income. To compete with other banks the bank needs to allocate a minimum of 40% of the funds to agricultural and commercial loans. To help the construction industry in your region, home loans must represent a minimum of 30% of all your loans. Also, the bank has an explicit policy that does not allow the general ratio of bad loans among all loans to be greater than or equal to 4%.
What is the loan designation to maximize the bank's profit? What is its maximum utility?
Related Book For
Financial Algebra advanced algebra with financial applications
ISBN: 978-0538449670
1st edition
Authors: Robert K. Gerver
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