Intermediate Microeconomics · free preview

Present Value and the Intertemporal Budget

Consumption today and tomorrow trade at the interest rate, the budget line runs through the income endowment with slope minus one plus r, and its intercepts are the present and future values of all income.

1. Trading consumption across time

Trading consumption across time

2. Lenders and borrowers on the line

Lenders and borrowers on the line

3. Ranking streams by present value

Ranking streams by present value

4. The real object behind nominal rates

The real object behind nominal rates

5. The budget equation

With m1 100, m2 63, r 10 percent, which statement of the budget is correct?

6. The two intercepts

Same consumer, what are the maximum possible c1 and c2?

7. Classifying the position

A consumer with endowment (100, 63) chooses c1 equal to 80. What is she and what does the account show?

8. Present value as a ranking

Why do analysts of all preference stripes rank payment streams by present value at the market rate?

9. The present value

With m1 100, m2 63, r 10 percent, compute the present value of income, rounded to two decimals, and write the number.

10. Savings compounded

Same consumer saves 20 in period one, compute the extra period-two consumption this funds, and write the number.

11. The far end of the line

With m1 of 100, m2 of 63 and r of 10 percent, what is the maximum possible c2?

12. The lender's second period

The consumer with endowment (100, 63) at r of 10 percent chooses c1 of 80. What is c2?

13. Ranking streams by the market's ruler

At r of 10 percent, which stream has the lowest present value?

14. What the account shows

A consumer whose endowment exceeds her period-one consumption is described how, and what does the bank account show?

15. The vertical intercept

With m1 of 100, m2 of 63 and r of 10 percent, compute the maximum c2, and write the number.

16. Second-period consumption of the saver

The endowment (100, 63) consumer chooses c1 of 80 at r of 10 percent. Compute c2, and write the number.

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