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Annuity payments are assumed to come at the end of each payment period (termed an ordinary annuity). however, an exception occurs when the annuity payments come at the beginning of each period (termed an annuity due). what is the future value of a 13-year annuity of $2,800 per period where payments come at the beginning of each period? the interest rate is 9 percent. use appendix c for an approximate answer, but calculate your final answer using the formula and financial calculator methods. to find the future value of an annuity due when using the appendix tables, add 1 to n and subtract 1 from the tabular value. for example, to find the future value of a $100 payment at the beginning of each period for five periods at 10 percent, go to appendix c for n = 6 and i = 10 percent. look up the value of 7.716 and subtract 1 from it for an answer of 6.716 or $671.60 ($100 × 6.716)

Vulcan flyovers offers scenic overflights of mount st. helens, the volcano in washington state that explosively erupted in 1982. data concerning the company’s operations in july appear below: vulcan flyovers operating data for the month ended july 31 actual results flexible budget planning budget flights (q) 56 56 54 revenue ($350.00q) $ 16,500 $ 19,600 $ 18,900 expenses: wages and salaries ($3,300 + $91.00q) 8,354 8,396 8,214 fuel ($31.00q) 1,904 1,736 1,674 airport fees ($870 + $35.00q) 2,730 2,830 2,760 aircraft depreciation ($11.00q) 616 616 594 office expenses ($240 + $1.00q) 464 296 294 total expense 14,068 13,874 13,536 net operating income $ 2,432 $ 5,726 $ 5,364 the company measures its activity in terms of flights. customers can buy individual tickets for overflights or hire an entire plane for an overflight at a discount. required: 1. prepare a flexible budget performance report for july that includes revenue and spending variances and activity variances.

Consider the following two projects. both have costs of $5,000 in year 1. project 1 provides benefits of $2,000 in each of the first four years only. the second provides benefits of $2,000 for each of years 6 to 10 only. compute the net benefits using a discount rate of 6 percent. repeat using a discount rate of 12 percent. what can you conclude from this exercise?