Answer:
The present value of purchase is $ 209,907.41
The present value of lease is $ 153,773.15
Find attached spreadsheet.
Explanation:
The present of value of both options need to be calculated in order to determine the viable option:
Present value of purchase=($27,000*10)+($4,300+$2,200)/(1+20%)^1+($4,300+$4,700)/(1+20%)^2+($4,300+$6,700)/(1+20%)^3-($27000*10*0.5)/(1+20%)^3=$209,907.41
Present value of lease option=$15,000+$70,000/(1+20%)^1+$70,000/(1+20%)^2+$70,000/(1+20%)^3-$15,000/(1+20%)^3=$ 153,773.15