## Calculate nominal interest rate, Taxation

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You have been offered a unique investment opportunity today; you will receive \$500 one year from now. If you invest \$10,000 today, you will receive \$500 one year from now, \$1500 two years from now, and \$10,000 ten years from now?

a) What is the NPV of the opportunity if the interest rate is 6%?  Should you take the opportunity?

b) What is the NPV of the opportunity if the interest rate is 2% per year? Should you take it now?

What is the present value of \$1000 paid at the end of each of the next 100 years if the interest rate is 7% per year?

You have found there investment choices for a one- year deposit: 10% APR compounded monthly, 10% APR compounded annually, and 9% APR compounded daily. Compare the EAR for each for each investment choice. (Assume that there are 365 days in the year.)

Oppenheimer Bank is offering a 30-year mortgage with an EAR of 53/8% .If you plan to borrow \$150,000, what will your monthly payment be?

If the rate of inflation is 5%, what nominal interest rate is necessary for you to earn a 3% real interest rate on your investment?

Your best taxable investment opportunity has an EAR of 4%. Your best tax-free investment opportunity has an EAR of 3%.  If your tax rate is 30%, which opportunity provides the higher after-tax interest rate?

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