Asked by Karina Rocha on Jul 15, 2024

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Calculate the maturity value of a five-year, $400,000 Guaranteed Investment Certificate at accumulating at 6% compounded quarterly.

A) $538,742
B) $696,988
C) $880,000
D) $903,443
E) $994,001

Guaranteed Investment Certificate

A Guaranteed Investment Certificate (GIC) is a Canadian investment that offers a guaranteed rate of return over a fixed period, often with fixed interest rates.

Compounded Quarterly

Interest that is calculated and added to the principal at the end of every quarter, leading to an increase in the amount of subsequent interest.

Maturity Value

The amount payable to an investor at the end of a fixed term investment, including the principal and interest.

  • Estimate the current and future financial worth of single and multiple cash flows, taking into account varying compounding intervals.
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Nazareth NavarroJul 18, 2024
Final Answer :
A
Explanation :
The maturity value of a compound interest investment is calculated using the formula A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest, P is the principal amount (the initial amount of money), r is the annual interest rate (decimal), n is the number of times that interest is compounded per year, and t is the time the money is invested for in years. For this problem, P = $400,000, r = 6% or 0.06, n = 4 (since interest is compounded quarterly), and t = 5 years. Plugging these values into the formula gives A = $400,000(1 + 0.06/4)^(4*5) = $400,000(1 + 0.015)^(20) = $400,000(1.015)^20 ≈ $538,742.