Al and sal are twins. al is given a fifteen-year annuity with end-of-year payments. the first payment al receives, precisely one year from the date he is given the annuity, is for $100, and then subsequent payments decrease by 4% annually. sal is given an nyear level annuity that has the same present value as al’s when the present values are calculated using i = 5%. again calculated using i = 5%, the accumulated value at the end of n years of sal’s annuity is $1,626.29. find the common present value of the two annuities and then find n.

On january 2, 2016, twilight hospital purchased a $94,800 special radiology scanner from bella inc. the scanner had a useful life of 4 years and was estimated to have no disposal value at the end of its useful life. the straight-line method of depreciation is used on this scanner. annual operating costs with this scanner are $106,000. approximately one year later, the hospital is approached by dyno technology salesperson, jacob cullen, who indicated that purchasing the scanner in 2016 from bella inc. was a mistake. he points out that dyno has a scanner that will save twilight hospital $26,000 a year in operating expenses over its 3-year useful life. jacob notes that the new scanner will cost $111,000 and has the same capabilities as the scanner purchased last year. the hospital agrees that both scanners are of equal quality. the new scanner will have no disposal value. jacob agrees to buy the old scanner from twilight hospital for $40,500. if twilight hospital sells its old scanner on january 2, 2017, compute the gain or loss on the sale. prepare an incremental analysis of twilight hospital.