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Lesson 5 of 25

Present Value Prices and the Real Rate of Interest

Philosophers and theologians have railed against interest for thousands of years. But that is because they didn't understand what causes interest. Irving Fisher built a model of financial equilibrium on top of general equilibrium (GE) by introducing time and assets into the GE model. He saw that trade between apples today and apples next year is completely analogous to trade between apples and oranges today. Similarly he saw that in a world without uncertainty, assets like stocks and bonds are significant only for the dividends they pay in the future, just like an endowment of multiple goods. With these insights Fisher was able to show that he could solve his model of financial equilibrium for interest rates, present value prices, asset prices, and allocations with precisely the same techniques we used to solve for general equilibrium. He concluded that the real rate of interest is a relative price, and just like any other relative price, is determined by market participants' preferences and endowments, an insight that runs counter to the intuitions held by philosophers throughout much of human history. His theory did not explain the nominal rate of interest or inflation, but only their ratio.

Source: Open Yale Courses

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Irving Fisher's Impatience Theory of Interest

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Financial Theory - Video Series

25 lessons

Lessons

1
Why Finance?
2
Utilities, Endowments, and Equilibrium
3
Computing Equilibrium
4
Efficiency, Assets, and Time
5
Present Value Prices and the Real Rate of Interest
6
Irving Fisher's Impatience Theory of Interest
7
Shakespeare's Merchant of Venice and Collateral, Present Value and the Vocabulary of Finance
8
How a Long-Lived Institution Figures an Annual Budget Yield
9
Yield Curve Arbitrage
10
Dynamic Present Value
11
Financial Implications of US Social Security System
12
Overlapping Generations Models of the Economy
13
Will the Stock Market Decline when the Baby Boomers Retire?
14
Quantifying Uncertainty and Risk
15
Uncertainty and the Rational Expectations Hypothesis
16
Backward Induction and Optimal Stopping Times
17
Callable Bonds and the Mortgage Prepayment Option
18
Modeling Mortgage Prepayments and Valuing Mortgages
19
Dynamic Hedging
20
Dynamic Hedging and Average Life
21
Risk Aversion and CAPM
22
The Mutual Fund Theorem and Covariance Pricing Theorems
23
Risk, Return, and Social Security
24
Leverage Cycle and the Subprime Mortgage Crisis
25
Shadow Banking: Parallel and Growing?
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