Patricia and Joe Payne are divorced. The divorce settlement stipulated that Joe pay $550 a month for their daughter Suzanne until she turns 18 in 3 years. Interest is 6% a year. How much must Joe set aside today to meet the settlement? (Do not round intermediate calculations. Round your answer to the nearest cent.)

Present Value= $18,079.05

Explanation:

Giving the following information:

Monthly payment= $550

Number of months= 3*12= 36 months

Interest rate= 0.06/12= 0.005

To calculate the lump sum to set aside to pay the settlement, first, we need to calculate the future value:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {550*[(1.005^36) - 1]} / 0.005

FV= $21,634.85

Now, the present value:

PV= FV / (1+i)^n

PV= 21,634.85 / (1.005^36)

PV= $18,079.05

a manufacturer of printed circuit boards uses exponential smoothing with trend to forecast monthly demand of its product. at the end of december, the company wishes to forecast sales for january. the estimate of trend through november has been 200 additional boards sold per month. average sales have been around 1000 units per month. the demand for december was 1100 units. the company uses α = 0.20 and β = 0.10. make a forecast including trend for the month of january.

ell really, the setting was in franklin and lincoln visits franklin even after he moved to columbus, and he went to school