You and a friend are discussing the return on an account with an initial balance of $100 and an APY of 5%. You want to use the APY Balance Formula, as follows. balance after y years = principal x (1 + APY)Y Your friend says that he has a simpler approach. Each year add 5% of $100, or $5, to the balance. Is your friend's approach valid? What term is used to describe the interest calculation employed by your friend? Under what conditions will your friend's approach give a reasonably good solution? O My friend is describing "Simple Interest," where no compounding is done. This will never give a reasonable estimate for estimating a situation with compounding. O My friend is describing "Compounding Interest" because the interest is being multiplied by the number of years. This will give a reasonable estimate for the APY Balance Formula when estimating for any length of time. O My friend is describing "Simple Interest," where no compounding is done. This will always be a reasonable estimate whether the time under consideration is short or long. O My friend is describing "Compounding Interest" because the interest is being multiplied by the number of years. This will give a reasonable estimate for the APY Balance Formula when estimating for short time periods. O My friend is describing "Simple Interest," where no compounding is done. This might be a reasonable estimate if the time under consideration is short.

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
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You and a friend are discussing the return on an account with an initial balance of $100 and an APY of 5%. You want to use the APY Balance Formula, as follows.
balance after y years = principal x (1 + APY)Y
Your friend says that he has a simpler approach. Each year add 5% of $100, or $5, to the balance. Is your friend's approach valid? What term is used to describe the interest calculation
employed by your friend? Under what conditions will your friend's approach give a reasonably good solution?
O My friend is describing "Simple Interest," where no compounding is done. This will never give a reasonable estimate for estimating a situation with compounding.
O My friend is describing "Compounding Interest" because the interest is being multiplied by the number of years. This will give a reasonable estimate for the APY Balance Formula
when estimating for any length of time.
O My friend is describing "Simple Interest," where no compounding is done. This will always be a reasonable estimate whether the time under consideration is short or long.
O My friend is describing "Compounding Interest" because the interest is being multiplied by the number of years. This will give
reasonable estimate for the APY Balance Formula
when estimating for short time periods.
O My friend is describing "Simple Interest," where no compounding is done. This might be a reasonable estimate if the time under consideration is short.
Transcribed Image Text:You and a friend are discussing the return on an account with an initial balance of $100 and an APY of 5%. You want to use the APY Balance Formula, as follows. balance after y years = principal x (1 + APY)Y Your friend says that he has a simpler approach. Each year add 5% of $100, or $5, to the balance. Is your friend's approach valid? What term is used to describe the interest calculation employed by your friend? Under what conditions will your friend's approach give a reasonably good solution? O My friend is describing "Simple Interest," where no compounding is done. This will never give a reasonable estimate for estimating a situation with compounding. O My friend is describing "Compounding Interest" because the interest is being multiplied by the number of years. This will give a reasonable estimate for the APY Balance Formula when estimating for any length of time. O My friend is describing "Simple Interest," where no compounding is done. This will always be a reasonable estimate whether the time under consideration is short or long. O My friend is describing "Compounding Interest" because the interest is being multiplied by the number of years. This will give reasonable estimate for the APY Balance Formula when estimating for short time periods. O My friend is describing "Simple Interest," where no compounding is done. This might be a reasonable estimate if the time under consideration is short.
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