Trading Case
OP8
Case
Objective
To
manage of the exposure of your position to loss by constructing synthetic
securities.
Key
Concepts
Synthetic
securities.
Case
description
There
are three beer companies in the economy (BUD, CSP, and HEI).
The first sells medium quality beer at a medium price, while the second
sells an inexpensive lower quality beer, and the third sells an expensive high
quality beer. Expected cash flows
from operations for each company depend upon three factors:
exchange rates, factor input prices, and demand for premium products.
These factors are not independent from each other and the consensus of
analyst forecasts for the industry estimates the following relationships among
different factors to be equally probable:
Event 1: strong
exchange rate, very low factor input prices, strong demand for premium product.
Event 2: positive
change in the exchange rate, low factor input prices, strong demand for premium
product.
Event 3: no
change in the current exchange rate, low factor input prices, weak demand for
premium product.
Event 4: no
change in the current exchange rate, no change in existing factor input prices,
weak demand for premium product.
Event 5: weakening
of the current exchange rate, no change in factor input prices, very weak demand
for premium product.
Event 6: weak exchange rate, high factor prices, very weak demand for
premium product.
Projected
marked event contingent values for each stock are given in table 1.
Three
FTS stock markets plus five FTS derivative markets are open for the first
trading day of the three month period. The
stock markets allow shares to be traded in the three beer companies. Current stock prices for BUD, CSP and HEI are $14, $22, $21
respectively. The options markets
are European options defined as
follows:
A call option on BUD (Stock 1) with a
strike price of 20
A put option on BUD (Stock 1) with a strike
price of 10
A call option on CSP (Stock 2) with a
strike price of 25
A call option on CSP (Stock 2) with a
strike price of 30
A call option on HEI (Stock 3) with a
strike price of 40
End
of quarter expiration values for each option are provided in Table II, and all
options are automatically exercised if they finish in-the-money.
Finally,
each trader has a money market account for market cash that can be accessed at
any time. The cost of funds is a
fixed 16% per annum compounded quarterly. If
you are long market cash at the end of the quarter interest will automatically
be accrued to your account at the rate of 4%.
Similarly, if you are short market cash at the end of the quarter, prior
to all option settlements, your account is automatically be charged interest at
the above rate. Any cash transfers
from option settlements will accrue (be charged) zero interest.
Your
trading objective in this market is to manage the exposure of your position to
the three economic factors (exchange rate fluctuations, factor input price
changes, and demand for premium product changes).
Your initial endowment will consist of market cash plus some endowment of
stock in BUD, CSP or HEI. Each
trader must take a position in the first trading day that protects the downside
exposure to the three economic factors. After
the first trading day no other trading is permitted and then, at the end of the
four month time horizon, a trader will receive zero grade cash if their position
falls below $5000 when marked to the realized market prices that prevail at this
time. That is, dynamic
hedging strategies cannot be employed in this case.
Any increase over $5000 is rewarded in the following manner:
At
$5000 you earn $5 grade cash and greater than or equal to $9999 earns $10 grade
cash. Any intermediate market value
earns grade cash in the following linear increasing relationship.
Your
performance will be measured over a number of independent trials in terms of
your cumulative grade cash. Your
trading type (i.e., initial position) can change from trial to trial.
1. Each
trader type is prohibited from trading the stock that they initially own.
All other securities may be traded.
ii. All
traders are "market takers"
in the stock markets that they are permitted to trade in.
That is, any quantity may be purchased shorted at the current market
prices (BUD 14, CSP 22, and HEI 21). The
possible four monthly returns from these prices will be consistent with the
consensus of analyst forecasts provided in exhibits 1 through 4.
Furthermore within-day fluctuations are not expected.
iii. All
traders are "market takers" in the call option market opened for stock
three (HEI). This option is
expected to trade unchanged at $1 for the first trading day.
iv. In
all other markets all traders can both "make market" and "take
market".
v. All
traders can borrow and shortsell in
any market that they are permitted to trade in.
Projected
marked event contingent values for each stock:
Events |
1 |
2 |
3 |
4 |
5 |
6 |
BUD |
5 |
10 |
10 |
25 |
25 |
40 |
CSP |
15 |
15 |
20 |
20 |
30 |
60 |
HEI |
45 |
45 |
20 |
20 |
10 |
10 |
Option
payoffs from each stock can be computed as follows:
Events |
1 |
2 |
3 |
4 |
5 |
6 |
BUDC20 |
0 |
0 |
0 |
5 |
5 |
20 |
BUDP10 |
5 |
0 |
0 |
0 |
0 |
0 |
CSPC25 |
0 |
0 |
0 |
0 |
5 |
35 |
CSPC30 |
0 |
0 |
0 |
0 |
0 |
30 |
HEIC40 |
5 |
5 |
0 |
0 |
0 |
0 |
© OS Financial Trading System 2001