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P6: Determine the present values (PVs) if 5,000 is received in the future (i.e at the end of each indicated time period) in each of the following situations:

a.       5 percent for ten years

b.      7 percent for seven years

c.       9 percent for four years

P9: Assume you are planning to invest 5,000 each year for six years and will earn 10 percent per year. Determine the future value (FV) of this annuity of your first 5,000 is invested at the end of the year.

P10: Determine the present value (PV) now of an investment of 3,000 made one year from now and an additional 3,000 made two years from now if the annual discount rate is 4 percent.

P11: What is the present value (PV) of a loan that calls for the payment of 500 per year for six years if the discount rate is 10 percent and the first payment will be made one year from now? How would answer change if the 500 per year from now?  How would your answer change if the 500$ per year occurred for ten years?

P12: Determine the annual payment on a 500,000 12 percent business loan from a commercial bank that is to be amortized over a five year period.

P13: Determine the annual payment on a 15,000 loan that is to be amortized over a four year period and carries a 10 percent interest rate. Prepare a loan amortization schedule for this loan

P15: Assume a bank loan requires an interest payment of $85 per year and a principal payment of 1,000$ at the end of the loan’s eight years life.

a.       At what amount could this loan be sold for to another bank if loans of similar quality carried an 8.5 percent interest rate? That is what would be the present value (PV) of this loan

b.      Now, if interest rate on other similar quality loans are 10 percent, what would be the PV of this loan?

c.       What would be the PV of the loan if the interest rate is 8 percent on similar quality loan?