Question

To compare investments, analysts convert monthly, quarterly, and semiannual rates to annual rates. If an investment of $100,000 is invested at 3.5% per quarter, compounded quarterly, the growth can be modeled by the equation A(t) = 100,000(1.035)^(4t). What is the equivalent annual growth rate for this investment (rounded to the nearest hundredth of a percent) and what is it worth (rounded to the nearest thousand dollars) after 15 years?

Name: to compare investments analysts convert monthly quarterly and semiannual rates to annual rates if an investment of 100000 is invested at 35 per quarter compounded quarterly the growth can be 00394
Uploaded: 2023-07-30T22:24:04-08:00
Duration: 1 min 1 s
Channel: Danielle Fairburn
Description: to compare investments analysts convert monthly quarterly and semiannual rates to annual rates if an investment of 100000 is invested at 35 per quarter compounded quarterly the growth can be 00394

          To compare investments, analysts convert monthly, quarterly, and semiannual rates to annual rates. If an investment of $100,000 is invested at 3.5% per quarter, compounded quarterly, the growth can be modeled by the equation A(t) = 100,000(1.035)^(4t). What is the equivalent annual growth rate for this investment (rounded to the nearest hundredth of a percent) and what is it worth (rounded to the nearest thousand dollars) after 15 years?

Added by Ruben C.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Danielle Fairburn

07/30/2023

Step 1

The formula for converting a quarterly rate to an annual rate is: EAR = (1 + quarterly rate)^4 - 1 Given that the quarterly rate is 3.5%, we can plug this into the formula: EAR = (1 + 0.035)^4 - 1 EAR = (1.035)^4 - 1 EAR = 1.142622875 - 1 EAR = Show more…

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To compare investments, analysts convert monthly, quarterly, and semiannual rates to annual rates. If an investment of $100,000 is invested at 3.5% per quarter, compounded quarterly, the growth can be modeled by the equation A(t) = 100,000(1.035)^(4t). What is the equivalent annual growth rate for this investment (rounded to the nearest hundredth of a percent) and what is it worth (rounded to the nearest thousand dollars) after 15 years?