An investment project has annual cash inflows of $4,200, $5,300, $6,100, and $7,400, and a discount rate of 14 percent. If the initial cost is $7,000, the discounted payback period for these cash flows is years. If the initial cost is $10,000, the discounted payback period for these cash flows isyears. If the initial cost is $13,000, the discounted payback period for these cash flows isyears. (Round your answers to 2 decimal places. (e. g., 32.16))

An investment project has annual cash inflows of $4,200, $5,300, $6,100, and $7,400, and a discount rate of 14 percent. If the initial cost is $7,000, the discounted payback period for these cash flows is ___2 years. If the initial cost is $10,000, the discounted payback period for these cash flows is___3years. If the initial cost is $13,000, the discounted payback period for these cash flows is__4years. (Round your answers to 2 decimal places. (e.g., 32.16))

Explanation:

a) Data and Calculations:

Annual cash inflows of

          Cash Inflow     Discount Factor    PV             Running Total

Year 1    $4,200            0.877               $3,683.40     $3,683.40

Year 2   $5,300           0.769                 4,075.70         7,759.10

Year 3   $6,100            0.675                  4,117.50         11,876.60

Year 4  $7,400            0.592                 4,380.80       16,257.40

b) An investment project's discounted payback period is the number of years it takes for an investment to recover its costs.  It is the period when the project's discounted cash inflows equals the project's discounted cash outflows.  It is another version of the payback period that uses discounted cash flows.

start by isolating the variable on one side by adding 43w^2 to both sides.   the equation will read:

25w^2+5=0

*subtract 5 from both sides*

25w^2=-5

*divide both sides by 25*

w^2=-1/5

*take the square root of both sides*

w=√(-1/5)

the square root of -1 is i.   the square root of 5 remains √5

the answer is i/√5.

hope this