CPF Life Projected Payout

Hello everyone.

I will be 39 years old this year and have just hit my Full Retirement Sum in my Special Account.

First Query: I am trying to do a projection for my Retirement Account when I reached the age of 65, assuming that I contribute the maximum of $37740 to my CPF yearly and compounding with 4% interest rate. I am able to get some rough figures (~$1mil), but would like to check if there is any CPF calculator I could use to verify the figure or if anyone has done similar calculations before?

Second Query: Based on my rough calculations, I should have about $1mil in my Retirement Account when I am 65 years old. If so, I would like to check what is the estimated CPF Life payout per month for all three plans viz. Standard, Escalating and Basic plans assuming if I start the payout from 65 years old. The online calculator on CPF website only cater for up to $300,000 Retirement Account balance.

Will anyone be able to help, please? Thanks!