Asked by Jamie Wilson on Jun 30, 2024

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The effective annual rate with continuous compounding is expressed as EAR=:

A) [(1) (APR) (m) ]m- 1.
B) [1 + (Quoted rate) /m]m-1.
C) [1 - Quoted rate/m]m[r].
D) eq- 1.
E) (E) (q) - 1.

Effective Annual Rate

The interest rate on an investment or loan that considers the effect of compounding over a one-year period.

Continuous Compounding

The process of calculating interest and reinvesting it into an account continuously, generating earnings on both the initial principal and the accumulated interest.

  • Understand and calculate the effective annual rate (EAR) with different compounding frequencies including continuous compounding.
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ZK
Zybrea KnightJul 04, 2024
Final Answer :
D
Explanation :
The effective annual rate (EAR) with continuous compounding is expressed as EAR=er−1EAR = e^{r} - 1EAR=er1 , where eee is the base of the natural logarithm (approximately 2.71828), and rrr is the annual interest rate. This formula accounts for the fact that interest is being compounded continuously throughout the year.