Consider an investment project. The initial cost is $$1000$ and the payments to be received are $$300$ after one year, $$500$

after $2$ years, and $$400$ after $3$ years.

a$.$ Draw the timeline.

b$.$ Compute the net present value of this investment project if the interest rate is $5\%.$

c$.$ At an interest rate of $5\%,$ do you go ahead with the investment project? Explain your answer.

d$.$ Compute the net present value of this investment project if the interest rate is $11\%.$

e$.$ At an interest rate of $11\%,$ do you go ahead with the investment project? Explain your answer.

f$.$ What general relationship between interest rate and investment can you draw? explain all steps