关于范里安经济学 效用函数与跨期选择

第一题：Tony’s utility function is , where  is his consumption in period 1 and is his consumption in period 2. In period 2, his income is twice as large as his income in period 1. At what interest rate will he choose to consume the same amount in period 2 as in period 1?

第二题：Will Wisp will live for exactly two periods. His utility function is, where is consumption in period 1 and  is consumption in period 2. He will have no income in period 2. His income in period 1 is $80,000. If the interest rate rises from 10 to 12%, what will his consumption changes with it?

更确切的说的都是举个例子，希望有所帮助。regress的核心也就是最小二乘了。% By lyqmath
clc; clear all; close all;
x = 1:60;
y = 5*x + 10;
y = y + 10*rand(1, size(x, 2));
data = [y' x']; % 60*2的矩阵
b = regress(data(:, 1), [data(:, 2) ones(size(data, 1), 1)]);figure; hold on; box on;
plot(x, y, 'r+');
xt = linspace(min(x), max(x));
yt = b(1)*xt + b(2);
plot(xt, yt, 'b-');
funstr = sprintf('y = %.3f*x + %.3f', b(1), b(2));
title([funstr ' By lyqmath'], 'FontWeight', 'Bold', 'Color', 'r');