$5.$ If you receive a positive cash flow of $$175,000$ at the end of year $3,$ how much change in the PV of that cash flow if the discount rate is changed from $4\%$ up to $12\%?$

a$.$ The PV goes from $-$$$159,178$ to $-$$$131,619$

b$.$ The PV goes from negative to positive

c$.$ The PV goes from $-155,574$ to $-124,562$

d$.$ It doubles because the discount rate doubles