In: Finance
Wally, president of? Wally's Burgers, is considering
franchising. He has a potential franchise agreement that would
allow him to receive
11
?end-of-year payments starting one year from now. The first two
payments would be
?$26 comma 00026,000
and
$ 23 comma 000$23,000
in one and two years? respectively, and then
?$18 comma 00018,000
per year after that for
99
years. If Wally requires a return of
8.1 %8.1%?,
what is the present value of this stream of cash? flows?
Year | Cash flow | Discount factor | Present Value | |
a | b | c=1.081^-a | d=b*c | |
1 | $ 26,000 | 0.9251 | $ 24,051.80 | |
2 | 23,000 | 0.8558 | 19,682.33 | |
3 | 18,000 | 0.7916 | 14,249.36 | |
4 | 18,000 | 0.7323 | 13,181.65 | |
5 | 18,000 | 0.6774 | 12,193.94 | |
6 | 18,000 | 0.6267 | 11,280.24 | |
7 | 18,000 | 0.5797 | 10,435.00 | |
8 | 18,000 | 0.5363 | 9,653.10 | |
9 | 18,000 | 0.4961 | 8,929.79 | |
10 | 18,000 | 0.4589 | 8,260.68 | |
11 | 18,000 | 0.4245 | 7,641.70 | |
Total | 1,39,559.59 | |||
Thus, | ||||
Present value of this stream of cash flow is | $1,39,559.59 | |||