Tuesday, May 26, 2015

A note on rates and the two period model

The two period rate on the ten year is about 23%. That is, one interest payment made at the ten year point, or 2.1*10, roughly. Take (1+.23)^(1/10), and get a good idea of the yearly rate.

The hyperbolic two period rate is set for that particular term period.  So be careful when interpreting rates.   But the hyperbolic banker has no knowledge of time, time is set by the humans when they space themselves along the yield curve. I really did not make that clear, and in fact ignored it in a previous post.
For bankers everything comes down to:

D(1+d)^2 - L(1+l)^2 =  Q , Q is the liquidity. Its a two period model, we impose the rule of no imaginary numbers and the deposits are the derivative of the loans and visa versa. If you want this in hyperbolic form, take the ratio, root it and get the hyperbolic angle. If the banker imposed fixed terms then Q has to vary for each term.



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