What is the effective interest rate per 6 months for a nominal interest rate of 12% per year compounded every 3 months? Find the equivalent of present worth (t = 0) of a uniform series of $7000 for 7 years, if the payment is made every 12 months, starting 6 years from now. Assume the interest rate is 10% per year, compound continuously.

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**Problem 1: Effective Interest Rate Calculation**

Calculate the effective interest rate per 6 months given a nominal interest rate of 12% per year, compounded quarterly (every 3 months).

**Problem 2: Present Worth Calculation**

Determine the equivalent present worth (at time t = 0) of a uniform series of payments of $7000. The payments occur annually over 7 years, with the first payment starting 6 years from now. Assume a continuous compounding interest rate of 10% per year.
Transcribed Image Text:**Problem 1: Effective Interest Rate Calculation** Calculate the effective interest rate per 6 months given a nominal interest rate of 12% per year, compounded quarterly (every 3 months). **Problem 2: Present Worth Calculation** Determine the equivalent present worth (at time t = 0) of a uniform series of payments of $7000. The payments occur annually over 7 years, with the first payment starting 6 years from now. Assume a continuous compounding interest rate of 10% per year.
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