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your lacking information for the problem in your post
APR of $1, compounded is:\[(1+\frac rn)^n\] APY is the rate it would have been if it had been stated at a compounding of 1 year:\[(1+k)\]where k is the APY \[1+k=(1+\frac rn)^n\] \[k=(1+\frac rn)^n-1\]
Yes it is a bit vague isn't it? Would this be the answer to my question or a formula to plug my own numbers into?
this is a general formula to aid you along the way let r be the rate that is compounded, let n be the number of times a year it gets assessed, and then k (or the APY) is just a function r and n as stated
since the APR and the APY give the same "values" at the end of the year, the strategy lies in how people relate the value of a rate to their investments
I am supposed to create my own scenaario here. But I can't come up with a rational one to really protray the relationship between apr and apy.
usually, a higher numerical value attracts more investors on a psychological level
think of a rate ... think of how many times a year you want to assess that rate ...
okay so. 15.5% compounded monthly
then r = 15.5, n=12 and k = (1+.0155/12)^12 - 1
got my decie in the wrong spot :) 0.155/12 that is
APR = 15.5 % APY = 16.6449 % according to the workings of my patent pending formulas
Ah okay, this seems to make it more concrete. thank you :)
youre welcome; and just to fix a typo ... APY = 16.6499 % these old eyes aint what they used ta be
Ahaha, I was checking that on my calculator and I noticed that too, no worries. It happens to the best of us!