Į Suppose that you are considering investing $5000 for 20 years. You have two investment opportunities: i)A Tax-Free Savings Account paying an annual interest rate of 1 :5% compounded semi-annually (2 times per year). ii)A GIC paying an annual interest rate of :4% compounded monthly (12 times per year). (a) For oach ontion a bove cdotormine the

Corporate Fin Focused Approach
5th Edition
ISBN:9781285660516
Author:EHRHARDT
Publisher:EHRHARDT
Chapter4: Time Value Of Money
Section: Chapter Questions
Problem 34P
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| Suppose that you are considering investing
$5000 for 20 years. You have two investment
opportunities:
i)A Tax-Free Savings Account paying an
annual interest rate of 1
:5% compounded semi-annually (2 times per
year).
ii)A GIC paying an annual interest rate of
:4% compounded monthly (12 times per year).
(a) For each option above, determine the
value of the investment after 20 years. Which
option should you invest in?
(b) Approximately how long does it take for
the Tax-Free Savings Account (i.e., option (i))
to reach
$6 000? Round your
result to the nearest month.
(c) Assuming the investment is still
compounded monthly, at what interest rate
must the GIC (i.e., option (ii)) be paying
in order for you to have
$15 000 after 20 years? State your answer as
a percent to 2 decimal place
Transcribed Image Text:| Suppose that you are considering investing $5000 for 20 years. You have two investment opportunities: i)A Tax-Free Savings Account paying an annual interest rate of 1 :5% compounded semi-annually (2 times per year). ii)A GIC paying an annual interest rate of :4% compounded monthly (12 times per year). (a) For each option above, determine the value of the investment after 20 years. Which option should you invest in? (b) Approximately how long does it take for the Tax-Free Savings Account (i.e., option (i)) to reach $6 000? Round your result to the nearest month. (c) Assuming the investment is still compounded monthly, at what interest rate must the GIC (i.e., option (ii)) be paying in order for you to have $15 000 after 20 years? State your answer as a percent to 2 decimal place
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