Let us think that we want to have Nick and Pete build their accounts Along with the very same curiosity amount (r) and compounding (n), and that following the similar length of time (t), we want the accounts to hold the same value (A). Notice the two variables not talked about On this state of affairs up to now are the quantity Nick will put into his bank account initially (P), his present value, and the dimensions of your periodic payment of Pete's annuity (m).
Now, let's choose the size of Pete's annuity payment (m) and Permit the annuity run its class. Can it be not accurate that we could play around While using the sizing of Pete's Preliminary lender deposit (P) until eventually the two accounts had the same value at the end of this experiment? When this issue is met, we could declare that Pete's Original deposit (P), which happens to be a present benefit, correlates Using the current value of Nick's annuity, since it offers the exact same upcoming worth underneath identical circumstances.
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