1. Hope you would enjoy the following mathematical answer. Please understand one simple clue used in finance.
2. When we need to find the future value of an asset (with continuous compounding), we use ert
3. When we need to find the present value of an asset (with continuous compounding), we use e-rt
The question is again repeated with the following information.
Q1B: Assume that the
trader entered into a short forward contract and the trader is already holding
the asset. The spot price of the asset is 710 cents per bushel. If the asset does not pay any dividends on the investment, but if
the investor needs to spend on storage cost, calculate the storage cost (in
yield terms) included in the March 2014 forward price by the trader with short
position? The march 2014 forward price agreed by the trader with short position is 743.20
Solution:
The solution for the Q1A is already given yesterday.
The
spot price of the asset
|
710.00
(cents per bushel)
|
Risk
free rate
|
4.25%
per annum
|
If
the trader with short position includes only the risk-free rate, then he
would have charged an amount of:
|
S0e0.0425x1
710
x e0.0425 x1
740.83 (cents per
bushel)
|
But
the quoted price of the trader with short position in futures / forward
market
|
743.20
|
What
does it indicate?
|
The
trader included an additional 2.37 cents per bushel as the storage cost.
|
If
it is expressed in % terms, how much it comes
|
S0e0.0457x1
710
x e0.0457x1
743.20
|
What
does it imply?
|
The
trader included 0.32% as the
storage cost, while quoting his futures prices.
|
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