A VC firm is considering two mutually exclusive investments. After some assumptions the VC firm comes to following conclusions. Investment A has an Internal Rate of Return $($IRR$)$ of $12$ percent, while Investment B has an IRR of $14$ percent. The two investments have the same risk. They have the same positive Net Present Values $($NPV$>0)$ only when the cost of capital is $7$ percent. Assume each investment has an initial cash outflow followed by a series of inflows. Given this information, which of the following statements is false?

Group of answer choices

If the cost of capital is $13$ percent, Investment A$\text{'}$s modified internal rate of return $($MIRR$)$ will be less than its IRR

If the cost of capital is $9$ percent, Investment B$$s NPV will be higher than Investment A$$s NPV

If the cost of capital is $13$ percent, Investment B$$s NPV will be higher than Investment A$$s NPV

If the cost of capital is $13$ percent, Investment B$\text{'}$s modified internal rate of return $($MIRR$)$ will be less than its IRR