Mariangela is $45$ years old. She works as a software engineer at Ciscoland and has a current salary of $140,000.$ She has come to you, a financial advisor that is specializing in the tech industry to help her with her comprehensive financial plan. You have helped her identify that she would be able to maintain her lifestyle at retirement with a wadge replacement ration of $85\%.$ The inflation expectation is an average of $4\%$ for her life expectancy. She expects to earn an average of $10\%$ on her investments and she would like to retire at age $65.$ She has told you that her ancestors have lived long lives so she wants to assume that she will live till she is $95$ years old. Her social security statement indicates her social security retirement benefit in today's dollars to be $35,000$ at age $67.$ She will make her retirement savings contributions at the end of each month. What is the monthly savings amount needed to support an inflation$-$adjusted $85\%$ WRR under the pure annuity model. Please note that she has been able to save for retirement $650,000$ so far. $($Please note if your answer is slightly off $-$a few dollars$-$ due to rounding, pick the answer closest to what you have calculated$).$

$$25,717\mathrm{.}78$

$$2,453\mathrm{.}46$

$$2,661\mathrm{.}76$

$$3,819$