Calculate the following Present Value and note the relationships between the Present Value and discount rates and the length of time the payment is received. Please show work/formulas

5. Case 5: Years invested remains at 5 years; the discount rate changes. (2 points)

a)PV of $100 received in 5 years with a discount rate of 3%:

b)PV of $100 received in 5 years with a discount rate of 5%:

c)PV of $100 received in 5 years with a discount rate of 7%:

d)As discount rate increases, the PV _______________.