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You have a firm. The appropriate annual interest rate for all of the firms projects in this problem is 5%. a) (1.5 points) The firm

You have a firm. The appropriate annual interest rate for all of the firms projects in this problem is 5%.

a) (1.5 points) The firm has only 1 project which does not require any investment and pays $1,000 in year 1 (that is 1 year from now). What is the net present value of the project?

b) (1.5 points) The firm has only 1 project which does not require any investment and pays $1,000 every year (forever) starting in year 1. What is the net present value of the project?

c) (1.5 points) The firm has 2 projects. Project 1 does not require any investment and pays $1,000 every year (forever) starting in year 1. Project 2 does not require any investment and pays $1,000 every year (forever) starting in year 2. What is the combined net present value of firms all projects?

d) (1.5 points) The firm has infinitely many projects. Project 1 does not require any invest2 ment and pays $1,000 every year (forever) starting in year 1. Project 2 does not require any investment and pays $1,000 every year (forever) starting in year 2. Project 3 does not require any investment and pays $1,000 every year (forever) starting in year 3. ... Project n does not require any investment and pays $1,000 every year (forever) starting in year n. ... and so on until infinity. What is the combined net present value of firms all projects (in dollars)?

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