Behavior of capital

We use {yy,xx}=Function(k’,k) in general given k’ and k and we find the next by

ks[t]=liner(yy,xx,ks[t-1]) from t=2 to np

given xx and yy starting from some point ks[1]. Since {yy,xx}=Function(k’,k) such as

NURBS and Bezier curve cannot get the estimate directly, we calculate finer points

and then apply linear interpolation.

where we know Bezier curve fits better than NURBS with some order.

The curve by Bezier curve is very close to the actual trajectory of capital.

NURBS and Bezier curve change the values on x-axis so we had better avoid

the values near the endpoints.