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?( Equivalent annual annuity ?) Rib? & Wings-R-Us is considering the purchase of

ID: 2615741 • Letter: #

Question

?(Equivalent annual annuity?) Rib? & Wings-R-Us is considering the purchase of a new smoker oven for cooking? barbecue, ribs, and wings. It is looking at two different ovens. The first is a relatively standard smoker and would cost $ 52,000 last for 9 ?years, and produce annual cash flows of $ 18,000 per year. The alternative is the? deluxe, award-winning? Smoke-alator, which costs $ 78,000 and, because of its patented humidity? control, produces the? "moistest, tastiest barbecue in the? world." The? Smoke-alator would last for 13 years and produce cash flows of $ 24,000 per year. Assuming a required rate of return of 11 percent on both? projects, compute their equivalent annual annuities (EAAs?).

Explanation / Answer

PV = 47,666.86, FV = 0, N = 9, rate = 11%

Use PMT function in Excel

EAA = 8,608.71

PV = 83,996.89, FV = 0, N = 13 , rate =11%

use PMT funciton in Excel

EAA = 12,444.22

so the second one is better

Discount rate 11.0000% Cash flows Year Discounted CF= cash flows/(1+rate)^year Cumulative cash flow            (52,000.00) 0                           (52,000.00)                       (52,000.00)            18,000.000 1                             16,216.22                       (35,783.78)            18,000.000 2                             14,609.20                       (21,174.58)            18,000.000 3                             13,161.44                          (8,013.14)            18,000.000 4                             11,857.16                            3,844.02            18,000.000 5                             10,682.12                          14,526.15            18,000.000 6                               9,623.54                          24,149.68            18,000.000 7                               8,669.85                          32,819.53            18,000.000 8                               7,810.68                          40,630.21            18,000.000 9                               7,036.65                          47,666.86
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