Harte Systems, Inc., a maker of electronic surveillance equipment, is considering selling to a well-known hardware chain the rights to market its home security system. The proposed deal calls for the hardware chain to pay Harte $30,000 and $25,000 at the end of years 1 and 2 and to make annual year- end payments of $15,000 in years 3 through 9. A final payment to Harte of $10,000 would be due at the end of year 10.

a. Lay out the cash flows involved in the offer on a time lin

b. If Harte applies a required rate of return of 12% to them, what is the present value of this series of payments?

c. A second company has offered Harte an immediate one-time payment of $100,000 for the rights to market the home security system. Which offer should harte accept?

The proposed deal calls for the hardware chain to pay Harte $30,000 and $25,000 at the end of years 1 and 2 and to make an annual year-end payments of $15,000 in years 3 through 9. The final payment to Harte of $10,000 would be due at the end of year 10.

1)

Cash flows:

Year 1= 30,000

Year 2= 25,000

Year 3= 15,000

Year 4= 15,000

Year 5= 15,000

Year 6= 15,000

Year 7= 15,000

Year 8= 15,000

Year 9= 15,000

Year 10= 10,000

2) To calculate the present value we need to use the following formula for each cash flow:

PV= FV/(1+i)^n

Year 1= 30,000/1.12= 26,785.71

Year 2= 25,000/1.12= 22,321.43

Year 3= 15,000/1.12= 13,392.86

....

Year 10= 10,000/1.12^10= 3,219.73

PV= $104,508.27

3) The present value of cash inflows is higher than $100,000. It is more convenient to decline the $100,000.