Gifts Galore Inc. borrowed $$1\mathrm{.}8$ million from National City Bank. The loan was made at a simple annual interest rate of $12\%$ a year for $3$ months. A $25\%$ compensating balance requirement raised the effective interest rate. Do not round intermediate calculations. Round your answers to two decimal places.

The nominal annual rate on the loan was $11\mathrm{.}25\%.$ What is the true effective rate?

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What would be the effective cost of the loan if the note required discount interest?

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What would be the nominal annual interest rate on the loan if the bank did not require a compensating balance but required repayment in three equal monthly installments?

$\%$ Del Hawley, owner of Hawley$$s Hardware, is negotiating with First City Bank for a $1-$year loan of $$47,500.$ First City has offered Hawley the alternatives listed below. Calculate the effective annual interest rate for each alternative. Do not round intermediate calculations. Round your answers to two decimal places.

A $13\%$ annual rate on a simple interest loan, with no compensating balance required and interest due at the end of the year.

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A $10\%$ annual rate on a simple interest loan, with a $25\%$ compensating balance required and interest due at the end of the year.

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A $8\mathrm{.}75\%$ annual rate on a discounted loan, with a $10\%$ compensating balance.

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Interest figured as $9\%$ of the $$47,500$ amount, payable at the end of the year, but with the loan amount repayable in monthly installments during the year.

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Which alternative has the lowest effective annual interest rate?