Final answer:
The future value of the given cash flow stream is $146,792.97.
Step-by-step explanation:
The question involves a calculation of the future value of a series of cash flows, each received at different points in time. Using the formula for future value, which is Future Value = Present Value × (1 + Interest rate)^number of years t, we can calculate the future value for each individual cash flow given the rate of 0.12, and then sum these values to obtain the total future value.
To find the future value of a cash flow stream, we need to calculate the present value of each cash flow using the formula PV = CF / (1 + r)^n. CF1 = $45,000 / (1 + 0.12)^1 = $40,178.57, CF2 = $45,000 / (1 + 0.12)^2 = $35,859.73, CF3 = $48,000 / (1 + 0.12)^3 = $36,326.30, and CF4 = $58,000 / (1 + 0.12)^4 = $34,428.37. Then, we add up the present values to get the future value: $40,178.57 + $35,859.73 + $36,326.30 + $34,428.37 = $146,792.97.