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Jun 9, 2015 at 3:19 history edited Zen CC BY-SA 3.0
deleted 39 characters in body; edited title
Jun 8, 2015 at 21:45 answer added whuber timeline score: 4
Jun 8, 2015 at 16:32 history reopened whuber
Jun 8, 2015 at 14:58 history edited Zen CC BY-SA 3.0
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Jun 8, 2015 at 14:19 review Reopen votes
Jun 8, 2015 at 16:32
Jun 8, 2015 at 13:59 history edited CCL CC BY-SA 3.0
added 77 characters in body
Jun 8, 2015 at 13:52 comment added CCL Way better !! Inputs : pension of € 3000/month during 240 months, starting at now+40 years Output (P(X<=x)=20%, P(X<=x)=50%, P(X>=x)=20%) : Formula : € 2,506,743.83 € 2,513,886.71 € 2,521,029.58 MonteCarlo : € 2,506,550.77 € 2,519,574.13 € 2,532,597.50 Thanks, I'm going to edit my answer with your formula
Jun 7, 2015 at 11:46 comment added CCL Thank you @Zen for the formula. I compared the distribution with $$ Var(FV)≈\sigma^2×(g′(μ))2. $$ and with a monte carlo simulation. The spread is way smaller with the approximation, so I guess there's a tradeoff between accuracy and speed.
Jun 6, 2015 at 23:39 comment added Glen_b Why is the (random) interest the same in every period? Do you really mean for the daily return - not it's distribution, but its actual realized value - to be exactly the same for day 1 and day 2 and day 3? If not, you need a different symbol for each day ($r_1,r_2,r_3,...$)
Jun 6, 2015 at 17:10 history closed Andy
Stephan Kolassa
Silverfish
Nick Cox
John
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Jun 6, 2015 at 13:25 review Close votes
Jun 6, 2015 at 17:10
Jun 6, 2015 at 13:04 review First posts
Jun 6, 2015 at 13:04
Jun 6, 2015 at 13:02 history asked CCL CC BY-SA 3.0