Anyone at a point where they are making monthly payments on multiple credit cards has already lost the debt game. People don't manage debt better because they have been marketed to and taught to use debt completely inappropriately. Debt should be used to purchase an asset that will appreciate or otherwise provide an income in excess of the interest payment on the debt. Full stop. That is how businesses use debt and t…
Consumption smoothing is a perfectly valid use of debt. Suppose I have utility = log(consumption), but my income is volatile. If I have 1 income in year 1 but 10 income in year 2, and use no credit, my utility is log(1)+log(10) = 2.3. If I use credit, I can have utility log(5.5 / (1+r)), with r the interest rate. At 10% interest, that's 3.2. At 20% interest that's 3.0. At 50% interest that's 2.6. So even at 50% inter…
Correct idea, incorrect math. The optimum is found with (11+r)/(2 + 2r) consumption in year 1 and (11+r)/2 consumption in year 2, for a total utility of 2 log(11+r) - 2 log(2) - log(1+r); at (10%, 20%, 50%) interest rates this yields (3.33, 3.26, 3.09) total utility.