As an analyst for a venture capital firm you have been asked to evaluate an $$18$ million investment in a startup company. You project that there will be no cash flows for six years but that the investment made would be worth $$25$ million in six years. Given the riskiness of the investment opportunity, your firm requires a $22\%$ annual rate of return. a$.$ What is the NPV of this investment opportunity? b$.$ Should the venture capital firm accept the investment opportunity? c$.$ Calculate the IRR. d$.$ According to the IRR, should the venture capital firm accept the investment opportunity?