Expectations Flashcards
expected present discounted value
the value today of a sequence of future payments
discount factor
1/1+it
If payments today or expected future payments increase what is the effect on the present value?
It increases
What is the effect if the current and future interest rates increase?
Decrease in the present value
present value for a constant sequence of payments
€Vt=€z/i
Two ways of writing the present value
By finding the present value in nominal terms and dividing by the price level or compute the present value in real terms
Default risk
the risk that the issuer of the bond will not pay back the full price promised by the bond
Maturity
the length of time over which the bond promises to make payments
Yield to maturity
the interest rate associated with the bond. that constant rate annual interest rate that makes the bond price today equal to the present value of future payments on the bond
Yield curve
the relation between the % yield of the bond and the maturity of the bond. Can also be deemed a term structure
Price of a one year bond
€P1t=FV/1+i1t
The price of the one-year bond varies inversely with the one year nominal interest rate
Price of a two year bond
€P2t=FV/(1+i1t)(1+iet+1)
Price of the two year bond depends inversely on both the current one year rate and one year expected rate
expectations hypothesis
investors care only about the expected return
arbitrage
the fact that two relations must be equal. should be no profit from doing nothing
the approximation relation between a two year interest rate and then current one year interest rate and the the expected one year interest rate?
(1+i2t)^2=(1+i1t)(1+iet+1)
by using this we get the approximation
i2t≈1/2 (i1t+ie1t+1)
i.e the average of the two
When the yield curve is upward sloping it tells us….
long term interest rates are higher than short term interest rate
When the yield curve is downward sloping it tells us that…
short term interest rates are higher than long term
ex-dividend price of a stock
Det+1 + Qet+1 /Qt
Price of a stock today
Due to arbitrage must be equal to the present value of the expected dividend plus the present value of the expected stock price next year
Higher expected future dividends leads to…
higher real stock price
Higher current and expected future one-year real interest rates lead to…
a lower real stock price
What effect does expansionary policy have if the central banks move was only partly expected?
as expansionary monetary policy implies lower interest rates for a time and also a higher output. With a lower output and greater dividend stock prices will increase.
What happens to the stock price when there is a shift in the LM curve?
Leads to higher output which would increase stock prices but also higher interest rate which would lead to lower stock prices. Depending on the slope of the LM curve determines which effect dominates. Steeper LM curve means small increase in output but large increase in the interest rate therefore stock prices are more likely to decrease
How the central could react to the shift in the IS curve (increased consumption)
- Accommodate the shift in the IS by increasing the money supply to avoid an increase in the interest rate and increase output higher also increasing stock prices
- Leave the LM curve unchanged and just move along it and what happens to stock prices will be ambiguous
- Worry that an increase in output will cause too high of inflation to shift the LM curve upwards to big output back down but increasing interest rates in the process. and stock prices will surely go down
How stock prices respond to a change in output depend on three things…
- What the market expected in the first place
- the source of the shocks behind the change in output
3 how the market expects the central bank to react to the change in output
equity premium
the risk premium investors require in order to hold stocks rather than bonds due the fact that people are generally risk averse.
The higher the equity premium…
the lower the stock price do to it being incorporated in the discount factor.
rational speculative bubbles
stocks prices may increase purely because investors expect them to