A stock is expected to pay a year$-$end dividend of $$2\mathrm{.}00,$ i$.$e$.,$ D$1=$ $$2\mathrm{.}00.$ The dividend is expected to decline at a rate of $5\%$ a year forever $($g $=-5\%).$ If the company is in equilibrium and its expected and required rate of return is $15\%,$ then which of the following statements is CORRECT?

The company$$s expected capital gains yield is $5\%.$

The company$$s current stock price is $$20.$

The constant growth model cannot be used because the growth rate is negative.

The company$$s expected stock price at the beginning of next year is $$9\mathrm{.}50.$

The company$$s dividend yield $5$ years from now is expected to be $10\%.$