Final answer:
The maturity value of the term deposit is $5304.08, and the amount of interest earned during the period is $873.16.
Step-by-step explanation:
To calculate the maturity value of a 4-year term deposit of $4430.92 at 4.5% compounded quarterly, we'll use the compound interest 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 (in 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.
Plugging in the values we get: A = $4430.92 * (1 + 0.045/4)^(4*4) = $4430.92 * (1 + 0.01125)^16 = $4430.92 * 1.19722 ≈ $5304.08.
The amount of interest earned is the maturity value minus the principal amount, which is $5304.08 - $4430.92 = $873.16.