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bombolles especulatives. Jaume Ventura CREI, UPF & Barcelona GSE Bojos per l’economia ! Març 2014 . An Economic Model of Asset Prices. Assumptions Time is a sequence of dates t=0,1,2,…,∞.
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bombollesespeculatives Jaume Ventura CREI, UPF & Barcelona GSE Bojos per l’economia! Març 2014
An Economic Model of Asset Prices • Assumptions • Time is a sequence of dates t=0,1,2,…,∞. • There is a market with traders willing to borrow and lend at the expected return of 1+r per period. • Question • What is the price of an asset that delivers pay-offs dt in date t? • Assume this asset is traded only in date 0.
What future payments does the asset promise? • What is the expected value of these future payments? • How much are traders willing to pay today for these future payments?
Market Equilibrium!!! • Letxnbe today’s value of payment at time n. Then, . . .
How much are traders willing to pay today for these future payments? • How much are traders willing to pay today for the asset? • Thus, the price of the asset is
Asset prices are high when expected payments are high and interest rates are low.
Modifying our economic model of asset prices • We have assumed so far that the asset is traded at time 0 only. • Assume from now on that the asset is traded in all periods. • Can the ability to resell the asset modify its value?
New Market Equilibrium!!! • Let pn be the price of the asset in date n. Then: . . . . . Iterating forever…
Asset prices have a fundamental and a bubble component. • The bubble component is a pyramid scheme. • Self-fulfilling expectations play a crucial role in asset price fluctuations. Fundamental Bubble
Calculating Fundamental and Bubble components • Measure the cash-flows that US productive assets generate as capital income, net of taxes and investment. • Compute the expected present discounted value of these cash-flows by assuming – • The interest rate is constant for all time horizons (equal to the 1950-2010 period average); and • Out-of-sample cash-flows grow at a constant rate (equal to the 1950-2010 period average), and resort to perfect foresight for within-sample cash-flows.
Household Savings Investment Growth Firm Savings
Household Savings Credit!!! Investment Growth Firm Savings
Household Savings Credit!!! Investment Growth Firm Savings
Back to theory (without equations!!) • Two effects of bubbles on investments • An increase in the size of bubbles today absorbs credit and lowers investment – CROWDING-OUT EFFECT. • An increase in the size of bubbles tomorrow provides collateral and raises investment – CROWDING-IN EFFECT. • What effects dominates? • If bubbles are not too large, the crowding-in effect dominates and bubbles raise investment and growth. • If bubbles become too large, the crowding-out effect dominates and bubbles lower investment and growth.
Simulated Economy with Productivity Shocks and Without Policy
Policy Implications for Central Banks • The behavior of the economy depends on self-fulfilling expectations and the bubble is sometimes too small and sometimes too large. • Central Banks can manage bubbles by taxing credit when the bubble is too large and subsidizing credit when the bubble is too low. • This policy raises welfare and has no fiscal cost.
Simulated Economy without Productivity Shocks and with Policy
bombollesespeculatives Jaume Ventura CREI, UPF & Barcelona GSE Bojos per l’economia! Març 2014