$($NB A financial calculator must be used to answer this question$)$

A business venture requires an initial investment of R$150000$ and has an expected quarterly cash flow as follows:

$\backslash$table$[[$Quarters$,1,3,4,5],[\backslash$table$[[$Cash$],[$Flow$]],20000,30000,50000,72500]]$

An investor will consider this option if she can get a return of $14\%$ p$.$a$.$ compounded quarterly. Which one of the following alternatives is FALSE?

$($Answers are rounded to two decimal places where necessary$)$

$0=-150000+20000(1,0367$dots${)}^{-1}+30000(1,0367$dots${)}^{-3}+50000(1,0367$dots${)}^{-}$

If Newton's method is used to calculate the IRR, then the iterative formula that must be used is

$i_{n+1}=i_n-\frac{-150000+20000(1+i_n{)}^{-1}+30000(1+i_n{)}^{-3}+50000(1+i_n{)}^{-4}+72}{-20000(1+i_n{)}^{-2}-90000(1+i_n{)}^{-4}-200000(1+i_n{)}^{-5}-362500}$

$NPV=R997,12$

$NPV=-150000+20000(1,035{)}^{-1}+30000(1,035{)}^{-3}+50000(1,035{)}^{-4}+7250$

IRR$=14,75\%p.a.$ effective.