00:01
So in this question, let's calculate the cash flows for each year for each year that is y naught to y3.
00:18
We need to consider the initial capital outlay and any additional cost or revenues associated with the production of oversight or mascots.
00:34
So assuming no additional cost or revenues are provided we can calculate the cash flows as follows.
00:40
So year 0, dollar 15 ,000 initial capital outlay.
01:06
So year 1, dollar 0, no additional cost.
01:22
So year 2, dollar 20 ,000 additional capital outlay.
01:45
So year 3, dollar 0, no additional cost.
02:04
So next we'll calculate the present value of the cash flows.
02:08
We need to discount each cash flow using 8 % of cost of capital.
02:20
The formula to calculate the present value present value pv present value is pv cf divided by 1 plus r to the power n.
02:51
So where cf is the cash flow, r is the r is discount rate and n is the number of years in the number of years in future.
03:34
So using the above formula and assuming a three year time horizon, we can calculate the present value of the cash flows as follows.
03:49
So pv by dollar divided by 1 plus 0 .08 to the power 0 into dollar 15 million.
04:16
No discounting in this.
04:24
So pv by 1, dollar 0 divided by 1 plus 0 .08 to the power 1, dollar 0, no discounting in this also pv by 2 dollar 17 million divided by 1 plus 0 0 8, 0 0 8 is approximately 2 dollar 14, 42 .21.
05:24
So pv year 3 is equal to dollar 0, 1 plus 0 .08 power 3, the net present value that is npv is the sum of the present values of the cash flows that is npv is equal to pv of y0, pv of y1, pv of y2, pv of y3 that is adding the sums that we will get dollar 842, 975 to 1...