An investment project has annual cash inflows of $2,800, $3,700, $5,100, and $4,300, for the next four years, respectively. The discount rate is 11 percent. What is the discounted payback period for these cash flows if the initial cost is $5,200

Discounted payback period = 1.89 years

Explanation:

If Initial cost is $5,200

Year  Cash flow   Present value   Present value      Discounted

                                 at 11%                                       Cumulative cash flow

0          -5,200             1                      -5,200              -5,200

1            2,800           0.9009             2,523               -2,677

2           3,700           0.811                  3,003                326

3            5,100           0.73126              3,729                4,055

4            4,300          0.6587               2,833                6,887

Discounted payback period = 1 + (2,667/3003)

=1.89 years

Working

PV= (1+i)^-n

i= 11%, n= respective years 0,1,2,3,4

odd consecutive integers are odd integers that follow each other. they have a difference of 2 between every two numbers. if n is an odd integer, then n, n+2, n+4 and n+6 will be odd consecutive integers. the first number in the pattern is always the variable on its own or in this case, "n". examples.