What is the life$-$time value of a customer of a software startup? The annual subscription fee for a typical customer is $$2$ thousand paid at the beginning of each year. It is expected that the companies' software will be renewed for up to $3$ years. Annual attrition is $20\%.$ The discount rate is $15\%.$ Express your answer in thousands of dollars t o $2$ decimal places e$.$g $$25\mathrm{.}41$ thousand should be expressed as $25\mathrm{.}41.$Explain the calculation fully. The answer is $$4,360,$ please explain fully.