Answer:
$5.5228 million
Or
$5,522,800
Explanation:
First, calculate the present value of all cash outflows
Present value of cash outflow = Initial Cost + ( Year 1 cost x Discount factor 15%, 1 year ) + ( Annual Cost x Annuity factor 15%, 10 years )
Where
Initial cost = $13 million
Year 1 cost = $10 million
Discount factor 15%, 1 year = 1 / ( 1 + 15% )^1 = 0.8696
Annual Cost = $1.2 million
Annuity factor 15%, 10 years = 1 - ( 1 + 15% )^-10 / 15% = 5.019
Placing value sin the formula
Present value of cash outflow = $13 million + ( $10 million x 0.8696 ) + ( $1.2 million x 5.019 )
Present value of cash outflow = $13 million + $8.696 million + $6.0228 million
Present value of cash outflow = $27.7188 million
Now use the following formula to calculate the annual revenue required to recover its investment plus a return of 15% per year
Present value of Annual revenue = Annual Revenue x Annuity factor 15%, 10 years
Annual Revenue = Present value of Annual revenue / Annuity factor 15%, 10 years
Where
Present value of Annual revenue = $27.7188 million
Annuity factor 15%, 10 years = 1 - ( 1 + 15% )^-10 / 15% = 5.019
Placing value sin the formula
Annual Revenue = $27.7188 million / 5.019
Annual Revenue = $5.5228 million
Annual Revenue = $5,522,800
