Question

Periodic outlays for inventory control software at Baron Chemicals are expected to be $150,000 immediately, $200,000 in 1 year, and $350,000 in 2 years. What is the present worth of the costs at an interest rate of 10% per year, compounded continuously

Answer 1

Total present value=$617,523.24

Step-by-step explanation:

The formula for calculating continuous compounding is given as follows

F=P(e^it)

F=future value

P=present value

i=interest rate

t=time involved i.e 1 year or 2 year

e=Mathematical constant=2.7183

By applying above mentioned formula, the present value of inventory control software by Baron Chemicals shall be calculated as follows:

Present value of year 2 Cash flow= $286,555.76

($350,000/e^10%*2)

Present value of year 1 Cash flow= $180,967.48

($200,000/e^10%*1)

Present value of year 0 Cash flow= $150,000

Total present value=$617,523.24