Asset Prices

The market value of claims on future payoffs, shaped by expected cash flows, discount rates, and risk premia.

Asset prices are the prices of claims on future payoffs (dividends, coupons, rents, resale value). They are determined by expectations about those payoffs and by how markets discount risk and time.

The valuation logic

A simple benchmark is present discounted value:

[ P_t = \sum_{j=1}^{T} \frac{E_t(CF_{t+j})}{(1+r)^{j}}, ]

where (CF_{t+j}) are future cash flows and (r) is a discount rate. In practice, the relevant discount rate is not just “the interest rate.” It includes compensation for risk.

A more general (risk-aware) statement used in finance and macro is the stochastic discount factor (pricing kernel) form:

[ P_t = E_t\big[m_{t+1} X_{t+1}\big], ]

where (X_{t+1}) is next period’s payoff and (m_{t+1}) summarizes how the market values payoffs across states of the world.

What moves asset prices

Asset prices change when markets revise:

  • expected cash flows: earnings, default probabilities, rents, growth prospects,
  • discount rates: real rates, expected inflation, and term structure components,
  • risk premia: how much return investors require for bearing systematic risk,
  • liquidity conditions: how costly it is to trade or finance positions.

Macro and policy relevance

Because asset prices affect wealth and collateral, they feed back into the real economy:

  • higher asset prices can support consumption (wealth effects),
  • higher collateral values can relax borrowing constraints,
  • monetary policy changes can move discount rates and risk-taking incentives.

Practical example (bond pricing)

A plain bond’s price is tightly linked to interest rates: when yields rise, the present value of fixed coupons falls, so the bond price typically falls. Longer-maturity bonds are usually more sensitive because more of their value comes from distant cash flows.

Knowledge Check

### According to the article, asset prices are mainly driven by: - [x] Expected cash flows, discount rates, and risk premia - [ ] The current unemployment rate alone - [ ] The money supply alone - [ ] The number of trades per day alone > **Explanation:** The valuation logic is “discount expected payoffs,” and the discounting reflects both time value and risk compensation. ### Holding expected cash flows fixed, what is the usual effect of a higher discount rate on price? - [x] Price falls - [ ] Price rises - [ ] Price is unchanged by definition - [ ] Price becomes infinite > **Explanation:** A higher discount rate reduces present value, so the same future cash flows are worth less today. ### In \(P_t = E_t[m_{t+1}X_{t+1}]\), what does \(m_{t+1}\) represent? - [x] A stochastic discount factor (pricing kernel) that prices payoffs across states - [ ] The inflation rate - [ ] The unemployment rate - [ ] A firm’s accounting profit > **Explanation:** The pricing kernel summarizes how the market values payoffs in different states of the world (risk and timing). ### Why can rising asset prices matter for real economic activity? - [x] They can affect wealth and collateral, influencing spending and borrowing - [ ] They eliminate all recessions by definition - [ ] They make output independent of demand - [ ] They change the definition of GDP > **Explanation:** Asset values can change household wealth and borrowing capacity, feeding back into consumption and investment decisions.