Troy and Kristy Reynolds $($both age $56)$ have determined they require retirement income equal to $$93,000$ in today$$s dollars, based on their current income. They plan to retire in $8$ years and wish to assume an after$-$tax return on their investments, prior to retirement, of $8\%.$ They plan to readjust their assets after retirement and believe their net return will drop to $6\%.$ Troy$$s parents are both in their late eighties, and Kristy$$s parents are in their seventies. Troy and Kristy assume retirement will last for $30$ years and that inflation will average $2\%.($answers below are rounded to the nearest thousands$)$

What is the amount of capital necessary at the start of retirement to support their income needs throughout retirement?

a$.$

$$1,977,000.$

b$.$

$$498,000.$

c$.$

$$109,000.$

d$.$

$$1,765,000$