Problem uses time as index [var(+1), var2(-1)]. How do I use the index in calculation of a function y=Cexp[kt]?

Question

Michael Reed 2022-5-3

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1710750-problem-uses-time-as-index-var-1-var2-1-how-do-i-use-the-index-in-calculation-of-a-function

回答： Arun 2023-10-13

I am running a dynamic general equlibrium economic model that uses multiple equations of motion where var(+1) = function of var.

I want to add an independently calculated parameter G where G(+1) = function of G. However, I need to include two paramenters, the value at T=0 and the growth parameter. I searched help and found the function y=C*exp[k*t] that seems to do the trick. C is the initial value, and k can be adjusted to make the resulting curve what is desired. My issue is how to use the time index inside the equation.

For example, if C = 1 and I adjust k so I have 3% growth I want the following set of values

G(0) = 1.0, G(1)=1.03, G(2)=1.0609 ...

I need to be able to use these values in other equations where foo(+1) = function (bar, blah, G, other stuff)

I have everything else. What I am missing is the equation(s) that calculate the G vector and assign values that can be used with the relative time index.

Thanks for your assistance.