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And the trainees silently watched their account balances.
Some finally understood:
It turned out the helicopter belonged to Wang X-hong, not to them.
In a city where both investment and dance are called “promotional businesses,”
there was a man named Wang X-hong who called himself a thinker and investment educator.
Wang X-hong often said during his lectures, “The market is like dancing.” But no one was sure
whether he was talking about finance or Latin.
At a dance party 14 years ago, he recalled that an international teacher, H.K., had once said on stage:
“This wonderful music and dance do not belong only to Latin people; they belong to the whole world.”
Whenever Wang X-hong mentioned this passage, he would pause, his expression serious, as if
H.K. had actually been talking about the globalization of financial derivatives.
He would then add:
“So warrants do not belong only to professional investors either; they belong to the whole world.”
Some people in the audience vaguely felt that something was off, but could not say exactly what.
Wang X-hong’s business and “Teacher Sol”
Wang X-hong’s business was able to expand rapidly mainly because he often mentioned
his revered teacher, Sol.
In a promotional video, he said:
“Our beloved Teacher Sol has been gone for a year now. During this time,
I still often think of Teacher Sol’s presence and the things he said.”
Many newcomers may never have met Teacher Sol; they had only heard
that he was the teacher of teachers, even someone of grandmaster status.
So Wang X-hong said:
“This Friday, we will hold an online memorial for Teacher Sol.
We will share the inspiration Teacher Sol gave us and how he influenced
the development of the entire community.
At the same time, I will also share the stable and prosperous investment method
that Teacher Sol left me.”
In fact, this method consisted mainly of three elements:
Famous quotations
Warrants
Confidence
Wang X-hong’s “Stable and Prosperous Warrant Theory”
Wang X-hong presented the following narrative in his course:
“Suppose the market is a goldfish. Normally it looks very quiet,
but occasionally it surges like lightning.
Clever people board a helicopter and watch the goldfish swim from the sky.”
Many people in the audience nodded, but in reality no one was certain of the mathematical meaning of this statement.
Wang X-hong then wrote a financial model on the whiteboard.
Mathematical setup
A non-dividend-paying stock S(t) follows geometric Brownian motion:
dS = μS dt + σS dW
where:
S(0) = 100
Annual volatility σ = 40%
Risk-free interest rate r = 3%
There is a European call warrant in the market:
Maturity T = 1 year
Strike price K = 110
Each warrant allows the purchase of 0.5 shares of stock
Its Black–Scholes price is denoted by C.
Wang X-hong’s investment plan
Wang X-hong promoted the following strategy to the trainees:
The investor puts up $10,000 in inherited funds
Buy only warrants, not stocks
If the market rises, profit “like lightning”
If the market falls, “the loss is limited, and life remains stable and prosperous”
He also quoted an unattributed saying:
“A true investor does not swim in the water but watches the goldfish from a helicopter.”
Many people therefore believed this was a profound financial philosophy.
Questions
(1) Warrant pricing
Use the Black–Scholes model to calculate the price C of the call warrant.
Also calculate:
The price of one warrant, W = 0.5C
(2) Leverage effect
If the investor uses the entire $10,000 to buy warrants:
How many warrants can be purchased?
If the stock price after one year is:
S(T) = 150
Calculate:
The final value of the portfolio
The investment return
(3) Testing “stability and prosperity”
If after one year:
S(T) = 80
Calculate:
The value of the warrants
The investor’s final assets
And discuss:
Whether Wang X-hong’s claim that “the loss is limited but life remains stable and prosperous” holds mathematically.
(4) Helicopter perspective
Suppose a rational investor instead adopts a delta-hedging strategy:
Hold the warrants
At the same time, short Δ shares of stock
Answer:
What is the initial delta?
Why does this strategy more closely resemble “watching the goldfish from a helicopter”?
(5) Inheritance decision problem
An investor inherits $10,000 and originally only intends to buy risk-free bonds.
But after hearing Wang X-hong’s memorial lecture, the investor switches to warrants.
Analyze from the perspective of utility theory or behavioral finance:
Celebrity endorsement (H.K.)
Borrowed authority (Teacher Sol)
Conceptual substitution (dance → investment → globalization)
How do these factors influence the investor’s decision?
A final little story
One year later, the market really did fluctuate violently like lightning.
Wang X-hong posted on social media:
“The market is like a goldfish: sometimes quiet, sometimes leaping.
What matters is that you are in the helicopter.”