Lancaster Corp. is considering two equally risky, mutually exclusive projects, both of which are characterized by having an initial cash outflow followed by a series of cash inflows. The two projects have the same amount of initial cash outflows, and the same length of life. Project A has an IRR of $11\%,$ while Project B$\text{'}$s IRR is $14\%.$ When the cost of capital is $8\%,$ the projects have the same NPV$.$ Given this information, which of the following statements is CORRECT?

$$If the cost of capital is $9\%,$ Project A$\text{'}$s NPV will be higher than Project B$\text{'}$s$.$

$$If the cost of capital is $6\%,$ Project B$\text{'}$s NPV will be higher than Project A$\text{'}$s$.$If the cost of capital is greater than $14\%,$ Project A$\text{'}$s IRR will exceed Project B$\text{'}$s$.$

$$D$)$ If the cost of capital is $9\%,$ Project B$\text{'}$s NPV will be higher than Project As$.$

$$E$)$ If the cost of capital is $13\%,$ Project A$\text{'}$s NPV will be higher than Project B$\text{'}$S$.$