Interest Data — Quiz Answers

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1
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BrightFuture Bank offers a savings account with a $⁢2,000 initial deposit and a 6% annual interest rate, compounded semiannually. They claim that the balance will double in 6 years. Is this claim true?

A
False. The balance will not reach 4 dollars comma 000 in 6 years at a 6 percent interest rate.
B
True. The balance will double to 4 dollars comma 000 in 6 years at a 6 percent interest rate.
C
True. The balance will be exactly 3 dollars comma 500 in 6 years at a 6 percent interest rate.
D
False. The balance will exceed 4 dollars comma 000 in 6 years at a 6 percent interest rate.
2
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FutureSecure Bank claims that by depositing $⁢5,000 in a savings account with a 7% annual interest rate compounded quarterly, the amount will grow to $⁢10,000 in 7 years without any additional deposits. Is this claim true?

A
False. The amount will not reach 10 dollars comma 000 in 7 years at a 7 percent interest rate.
B
False. The amount will exceed 10 dollars comma 000 in 7 years at a 7 percent interest rate.
C
True. The amount will grow to exactly 10 dollars comma 000 in 7 years at a 7 percent interest rate.
D
False. The amount will not reach 8 dollars comma 000 in 7 years at a 7 percent interest rate.
3

A financial blog claims that a particular stock has consistently delivered a 10% return annually over the past five years. However, official stock market data shows the following annual returns for the past five years: 8% , 8% , 12% , 10% , and 7% How should a student assess the reliability of the blog's claim?

A
The blog is somewhat reliable even if the 10 percent return is not accurate.
B
The blog is unreliable as it does not match the official data.
C
The blog is unreliable because the returns vary each year.
D
The blog is reliable since the average return is approximately 10 percent.
4

GoldenYears Retirement Fund offers a special deal for a $⁢20,000 investment at a 5% annual interest rate compounded monthly. GoldenYears claims the investment will quadruple in 15 years without any additional contributions. Is this claim accurate?

A
False. The investment will only double, not quadruple, in 15 years at a 5 percent interest rate.
B
True. The investment will quadruple in 15 years at a 5 percent interest rate.
C
False. The investment will more than quadruple in 15 years at a 5 percent interest rate.
D
False. The investment will come close, but it will not quadruple in 15 years at a 5 percent interest rate.
6

HighYield Savings advertises that an initial deposit of $⁢2,000 at a 6% interest rate compounded semiannually will result in the balance reaching $⁢5,000 in 10 years, with no need for additional deposits. Is this advertisement accurate?

A
True. The balance will reach 5 dollars comma 000 in 10 years at a 6 percent interest rate.
B
False. The balance will only double in 10 years at a 6 percent interest rate.
C
False. The balance will exceed 5 dollars comma 000 in 10 years at a 6 percent interest rate.
D
False. The balance will not reach 4 dollars comma 000 in 10 years at a 6 percent interest rate.
8

Silas is comparing two retirement savings plans: 1. a 401(k) plan offering an annual interest rate of 6% , compounded annually 2. an IRA with an annual interest rate of 5.8% , compounded quarterly Analyze the financial data for a one-year period. Which statement is true regarding the impact of the compounding periods on the total amount accrued?

A
The IRA will yield a higher amount due to its more frequent compounding, despite its slightly lower interest rate.
B
Both retirement savings plans will yield the same amount at the end of the year.
C
The 401(k) plan will yield a higher amount due to its higher interest rate, regardless of the compounding frequency.
D
The effect of the compounding interest cannot be evaluated without a given initial investment amount.

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