Find the net present value $($NPV$)$ of the following cash flows when the discount rate is $5\%$ pa:

$$70,000$ immediately $($t$=0)$;

$$80,000$ in $4\mathrm{.}5$ years $($t$=4\mathrm{.}5)$; and

$$100,000$ in $6$ years $($t$=6).$

The net present value of these payments is:

Question $1$Select one:

a$.$

$$186,553\mathrm{.}85$

b$.$

$$190,627\mathrm{.}36$

c$.$

$$208,851\mathrm{.}57$

d$.$

$$279,881\mathrm{.}08$

e$.$

$$303,651\mathrm{.}43$