Solution
Reubens answered on
Jul 26 2020
Payback, NPV & IRR
Pearl Medical Cente
Statement showing cumulative cash inflows and Pay-back period of projects
Project A Project B
Years Cash Inflow Cumulative cash inflow Cash Inflow Cumulative Cash inflow
1 62,500 62500 32,625 32,625
2 30,000 92,500 32,625 65,250
3 28,000 120,500 32,625 97,875
4 10,000 130,500 32,625 130,500
1 Project A Pay-back Period 2 years +(100,000-92,500)/28,000
2years +(7,500/28,000)
2 years + 0.2678571429
2.27 years
Project B Pay-back Period 3 years +(100,000-97,875)/32,625
3 years +(2,125/32,625)
3 years + 0.0651
3.07 years
Project A is viable as the investment can be taken back within the shortest period of 2.27 years
Calculation of Net present value
Project A Project B
Years Discounting factor @12% p.a Cash Inflow Present values Cash Inflow Present values
1 0.8929 62,500 55806.25 32,625 29130.86
2 0.7972 30,000 23916.00 32,625 26008.65
3 0.7118 28,000 19930.40 32,625 23222.48
4 0.6355 10,000 6355.00 32,625 20733.19
Present Value 106007.65 99095.18
Less: Capital Invested 100,000.00 100,000.00
Net present value 6007.65 -904.83
Project A is viable as the net present value is positive
Calculation of Internal Rate of Return
Project A Project B
Year Cash...