Suppose that you are considering the development of a residential subdivision. The development will require you to spend $300,000 today to acquire the land. You will also have to spend $750,000 in both years 1 and 2 in order to build the houses. You expect to make $1.5 million in year 3 and $2 million in year 4 from sales of the completed homes. What is the internal rate of return of this project

32.52%

Explanation:

Internal rate of return is the discount rate that equates the after-tax cash flows from an investment to the amount invested

IRR can be calculated with a financial calculator  

Cash flow in year 0 = $-300,000.

Cash flow in year 1  and 2 = $-750,000

Cash flow in year 3 = $1.5 million

Cash flow in year 4 = $2 million  

IRR = 32.52%

To find the IRR using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. After inputting all the cash flows, press the IRR button and then press the compute button.  

the investment was $14,174.196

explanation:

a lump sum means that the father of the example made one deposit and leave it be.

we need to know the value of a capital that generated at 4.05% per year during 28 years the sum of $48,613.24

now clearing the formula to solve for capital we got:

and we reach the answer investment = $14,174.20