The Jones Brothers recently established a trust fund that will provide annual scholarships of $12,000 indefinitely. These annual scholarships are: an ordinary annuity. an annuity due. amortized payments. a perpetuity. a perpetuity due.

D. Perpetuity

Explanation:

Perpetuity is a type of annuity that has no end date. It is a fixed some of money paid every year to someone or for a purpose (in this case, scholarship) indefinitely. It is a form of annuity that lasts for ever.

The stream of cash flow continues indefinitely. It is usually calculated by dividing Cash flow by discount rate. That is

PV of Perpetuity = D/r

Where

D = Dividend

r = interest rate, and

PV = present value.

The major characteristics of perpetuity is that it doesn't have a fixed time span and continues indefinitely.

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.