Janet, age $40,$ earns $$95,000$ annually; her wage replacement ratio has been determined to be $70\%.$ She expects inflation will average $3\%$ over her entire life expectancy. She expects to work until $67,$ and live until $95.$ She anticipates a $7\mathrm{.}5\%$ return on her investments. Allison does not expect to receive any Social Security retirement benefits. Calculate Allison$$s capital needed at retirement age $67.$

Group of answer choices

$$1,709,569\mathrm{.}80.$

$$1,837,787\mathrm{.}53.$

$$2,359,975\mathrm{.}87.$

$$2,463,081\mathrm{.}61.$