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is an example of the gmap simulation and this is based on the fall 2020 4C exam so I have here broken out my solution I have this broken out in two chunks so this chunk is all talking about the account value and the gmap and then this chunk down here is talking more behind the scenes what the insurer sees so thats the commissions and the maintenance expenses and so Im just going to walk through these formulas real quick and then how I got my solution so here you start out with your premium and then I have the account value prior to the expenses uh beginning of year so nothing incurred and then this is just like every single year I just pick up the account value at the end of the year so thats thats what this formula is doing and then I have my mortality and expense fees my rider fees and then so the account value after these is just the beginning of year minus those expenses the index return in the lapses are right here and then my account value end of year is just the forty nine t