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Your money is tied up and you need to borrow $10,000. The following two alternatives are being offered by the lender: (1) pay $3,288.91 at the end of each year for 5 years, starting at the end of the first year (5 payments total at 18 percent nominal per year compounded quarterly which equates to 19.25% effective); or (2) pay $X at the end of each quarter for 6 years, starting at the end of the first quarter (24 payments total at 18 percent nominal per year compounded quarterly). Determine the value of $X that will make Alternative 2 equally desirable to Alternative 1 if
a. your TVOM is 8% nominal per year compounded.
b. your TVOM is 22% nominal per year compounded quarterly.

Sagot :

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at the end of each year for 5 years, starting at the end of the first year (5 payments total at 18 percent nominal per year compounded quarterly which equates to 19.25% effective); or (2) pay $X at the end of each quarter for 6 years, starting at the end of the first quarter (24 payments total at 18 percent nominal per year compounded
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