Two years ago, Reggie invested $19,900.00. Today, he has $21,600.00. If Reggie earns the same annual rate implied from the past and current values of his investment, then in how many years from today does he expect to have exactly $38,000.00 O 0.00 years (plus or minus 0.05 years O 15.78 years (plus or minus 0.05 years O 22.35 years (plus or minus 0.05 years O 13.78 years (plus or minus 0.05 years O None of the above is within .05 percentage points of the correct answer
Two years ago, Reggie invested $19,900.00. Today, he has $21,600.00. If Reggie earns the same annual rate implied from the past and current values of his investment, then in how many years from today does he expect to have exactly $38,000.00 O 0.00 years (plus or minus 0.05 years O 15.78 years (plus or minus 0.05 years O 22.35 years (plus or minus 0.05 years O 13.78 years (plus or minus 0.05 years O None of the above is within .05 percentage points of the correct answer
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Transcribed Image Text:**Investment Growth Calculation Exercise**
**Problem Statement:**
Two years ago, Reggie invested $19,900.00. Today, he has $21,600.00. If Reggie earns the same annual rate implied from the past and current values of his investment, then in how many years from today does he expect to have exactly $38,000.00?
**Multiple Choice Options:**
- ○ 10.09 years (plus or minus 0.05 years)
- ○ 15.78 years (plus or minus 0.05 years)
- ○ 22.35 years (plus or minus 0.05 years)
- ○ 13.78 years (plus or minus 0.05 years)
- ○ None of the above is within 0.05 percentage points of the correct answer
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**Explanation:**
This question aims to teach how to calculate the expected value of an investment over time given a consistent annual growth rate. This involves understanding the principles of compound interest and applying logarithmic calculations to determine the time frame for the investment to grow from its current value to a future target value.
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