Asked by Carrington Gallihugh on May 20, 2024

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An investment is made in an account that pays 6.25%, compounded continuously. What is the effective yield for this investment? Round your answer to two decimal places.

A) 6.25%
B) 6.40%
C) 6.94%
D) 6.45%
E) 6.35%

Effective Yield

The total yield of a financial investment, considering compound interest or reinvestments.

Decimal Places

The amount of digits found following the decimal point in a numerical value.

  • Perform calculations involving effective yield to evaluate financial investments.
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MS
Megan SkippenMay 27, 2024
Final Answer :
D
Explanation :
The formula for continuous compounding is A=Pe^(rt), where A is the amount, P is the principal (initial amount), e is the constant 2.71828..., r is the annual interest rate expressed as a decimal, and t is the time in years. In this case, r = 0.0625 and t = 1. So, A = Pe^(0.0625*1) = Pe^0.0625. The effective yield is then (A-P)/P = e^(0.0625)-1 = 0.0645, or 6.45% rounded to two decimal places. Therefore, the best choice is D.