Financial markets, expectations and their relevance for monetary policy Flashcards
Discount factor
1 /1+it
The expected present discounted value of a sequence of future payments is
is the value today of this expected sequence of payments. Once the manager has computed the expected present discounted value of the sequence of profits, her problem becomes simpler.
The higher the interest it, the lower is
the present value of a payment in the future
Nominal
Present value = V_t = ∑ z_t+n / (1 + i_t)(1 + i_{e t+1})…(1 + i_{e t+n})
Discount rate
The rate at which you discount in this case the nominal interest i
Real
voir page 21: formule
Present value depends:
-positively on payment flows
-negatively on level of the interest rates
Important for the interest rate of a bond:
maturity, default risk (abstracted from for simplicity)
n-year maturity
Pnt = 100 (1+int )^n
Expectations hypothesis:
investors only care about the expected return
Price for the n-year bond equals…
the present value of the expected price of a one-year bond purchased in period n -1
yield curve
Une courbe de rendement est une ligne qui représente les rendements ou les taux d’intérêt d’obligations ayant la même qualité de crédit mais des dates d’échéance différentes
–> Relation between bond and interest rate
The yield curve is the relation between the yield of bonds and their maturity.
Upward sloping yield curve
financial markets expect higher short-term interest rates
Downward sloping yield curve
financial markets expect lower short-term interest rates (indicator for recessions)
▶ But: long-term interest rates also include liquidity- and risk-premium
⇒ Changes in these premia over time constrain what one can learn from the yield curve about interest-rate expectations
Forward Guidance Influence the yield curve by…
guiding interest-rate expectations
Quantitative easing as unorthodox monetary-policy option
▶ Zero lower bound for short-term interest rate
▶ Reduce interest of long-term bonds (given imperfect arbitrage
Quantitative easing
a form of monetary policy in which a central bank, like the U.S. Federal Reserve, purchases securities in the open market to reduce interest rates and increase the money supply.
Quantitative easing in the IS-LM Model
▶ ”Perfect trap”
- Liquidity trap
- Fiscal policy not effective or not (politically) feasible
▶ Role for quantitative easing as unorthodox monetary policy option
Fundamental value Q of a stock is
the present value of future dividend payments D
real interest includes
risk premium: is the investment return an asset is expected to yield in excess of the risk-free rate of return
Stock price
- decreases if interest rates are higher (today and in the future)
- decreases if the risk premium is higher
Efficient-market hypothesis
stock prices cannot be predicted systematically (random walk)
Rational speculative bubbles
based on expectations of price increases
Possible that things (possibly without much fundamental value such as tulip bulbs) realize …
big capital gains through price increases
expansionary monetary policy and stock prices: Effect on stock prices
increase if monetary policy not anticipated
- unchanged if monetary policy anticipated
The Net Present Value (NPV) of an asset
is the sum of all future cash flows discounted to their present value
Decrease of cash flow impact on NPV ?
The present value of that cash flow will be lower. So the NPV will decrease
zt
payement flow
zte
expected payement flow of that year
How does the present value of future payments change with interest rates?
Present value decreases as interest rates increase.
Arbitrage
is a financial strategy where an investor takes advantage of price differences of the same asset in different markets
For example, if stock is priced at $100 on one exchange and $102 on another, an arbitrageur could buy the stock for $100 and immediately sell it for $102, making a $2 profit per share.
What is the role of arbitrage in determining the yield curve?
Arbitrage ensures that the price of a bond equals the expected price of future one-year bonds.
What is the expectations hypothesis regarding bond prices?
Bond prices reflect the expected return over time, equal to the present value of future bonds.
How does an upward-sloping yield curve affect interest rate expectations?
It suggests that financial markets expect higher short-term interest rates in the future
How can monetary policy influence the yield curve?
Through forward guidance and quantitative easing, affecting interest-rate expectations.
What is the fundamental value of a stock?
The present value of expected future dividend payments, adjusted for real interest and risk.
How does the risk premium affect stock prices?
The present value of expected future dividend payments, adjusted for real interest and risk.
How does the risk premium affect stock prices?
Higher risk premiums lead to lower stock prices, while lower premiums increase stock prices.
What is the efficient-market hypothesis regarding stock prices?
Stock prices cannot be systematically predicted as they follow a random walk.