Asked by Ashley Kenny on Jul 04, 2024

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The future value of $100 compounded semiannually for 3 years at 12% equals $140.49.(PV of $1,FV of $1,PVA of $1,and FVA of $1) (Use appropriate factor(s)from the tables provided.)\bold{\text{(Use appropriate factor(s)from the tables provided.)}}(Use appropriate factor(s)from the tables provided.)

Compounded Semiannually

Refers to the process where interest is added to the principal balance of an investment, loan, or deposit twice a year, resulting in interest being earned on interest.

Future Value

The worth of a current asset or amount of money at a specified time in the future, accounting for specific interest or growth rates.

  • Apply equations pertaining to the time value of money to manage situations involving unique cash movements.
  • Apply the tables or formulas provided for the determination of present and future values.
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AC
Allison CespedesJul 09, 2024
Final Answer :
False
Explanation :
The future value of $100 compounded semiannually for 3 years at 12% is calculated using the formula FV=PV×(1+r/n)ntFV = PV \times (1 + r/n)^{nt}FV=PV×(1+r/n)nt , where PVPVPV is the present value, rrr is the annual interest rate, nnn is the number of compounding periods per year, and ttt is the time in years. Given PV = $100 , r=12%=0.12r = 12\% = 0.12r=12%=0.12 , n=2n = 2n=2 , and t=3t = 3t=3 , the calculation is FV = $100 \times (1 + 0.12/2)^{2 \times 3} , which does not equal $140.49. The correct calculation leads to a different amount.