Final answer:
The present worth of GPA Company's income at an annual interest rate of 12%, compounded quarterly, requires calculating the present value of an annuity, which necessitates specifics on payment structure and total timeframe.
Step-by-step explanation:
To determine the present worth of GPA Company's income averaging $4000 per month for 3 years at an annual interest rate of 12%, compounded quarterly, we need to calculate the present value (PV) of an annuity. An annuity is a series of equal payments made at regular intervals. The formula for the present value of an annuity considering quarterly compounding interest is:
PV = Pmt × [(1 - (1 + r/n) ^ (-nt)) / (r/n)]
Where:
Pmt = Monthly payment (which is $4000),
r = Nominal annual interest rate (which is 0.12),
n = Number of compounding periods per year (which is 4 for quarterly),
t = Total number of years (which is 3).
However, since the provided information and the options given do not align with the question, there is no accurate way to calculate or choose an option from a, b, c, or d. We need the correct formula and possibly more information relevant to the annuity's time frame or specific payment structure to provide an exact answer.
Without the correct figures to calculate the present value of this specific annuity, we can only give a theoretical framework for how such a calculation would be made.