Discounted Cash Flow Homework Problems

Please post the answers (and show your work) in the assignments section by midnight the last day of the week assigned.

1. Calculate the future value of 1,535 invested today for 8 years at 6 percent.

(10 points) The formula is:

FV = P(1 + rt)

FV= 1535(1+.06x8)

FV=1535(1.48)

FV= 2,271.80

1. What is the total present value of the following cash stream, discounted at 8 percent? (10 points)

YearAmount

1400

2750

3945

4145

578

3.If you invested $2,000 per year into an IRA for 30 years and received 6 percent return each year, what would the account balance be in 30 years? (10 points)

4. A friend gives you a proposition.If you give him 1,500 dollars today, he will guarantee your receive 12 percent a year for the next 5 years.How much money will you receive from him at the end of 5 years? (10 points)

5. You want to buy a new Computer Aided Design (CAD) system for your business.The cost of the system is $150,000 and you expect to save over $40,000 per year in reduced labor costs.Please calculate the net present value of the CAD if your required return is 10 percent and the life of the system is expected to be 5 years. (10 points)

6.Your company is considering converting its heating system in the main office from coal to heating oil.The initial cost of removing the coal fired furnace and installing an new oil fired unit is $60,000.The life of the analysis is 7 years.In the past you spent $25,000 per year on coal.The new company says you will spend no more than $15,000 per year on heating oil.If your required return is 12 percent, should you make this investment?Please calculate the net present value of this project. (10 points)