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# Sub Annual Time Value of Money

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I would like to have the solution to the following sample problems in EXCEL format so that I can see the formulas used. Thanks

1.A zero-coupon bond is a security that pays no interest, and is therefore bought at a substantial discount from its face value. If stated interest rates are 5% annually (with continuous compounding) how much would you pay today for a zero coupon bond with a face value of \$1,200 that matures in 9 years?

2. A financial institution offers a "double-your-money" savings account in which you will have \$2 in 7 years for every dollar you invest today. What stated annual interest rate (assuming monthly compounding) does this account offer?

3. You have \$50,000 in savings for retirement in an investment earning a stated annual rate of 8% compounded semi-annually. You aspire to have \$1,000,000 in savings when you retire. Assuming you add no more to your savings, how many years will it take to reach your goal?

Note that the HP 12c financial calculator rounds up the periods result to the next integer and will not give the correct answer to the nearest hundredth. Therefore, you should use Excel or a financial calculator that does provide decimal precision to the number of periods.

4. You deposit \$1,200 in a bank account that pays 9% stated annual interest compounded semi-annually. What is the value of your investment at the end of 4 years?