Generative AI such as ChatGBT has rapidly become adopted by researchers at institutional investment firms, policymakers, and academics.
However, as the old saying goes: garbage in, garbage out. DuLac Capital Advisory L.L.C. runs stress tests on data analysis from AI systems used by such platforms as Bloomberg, BlackRock Aladdin, and ChatGBT in order to ensure the quality of the data being analyzed is accurate— otherwise the “insight” gained from it will be false, and thus lead to bad influences on the team’s decision-making process.
Below is a recent example how ChatGBT was “caught” using faulty logic when posed with a slightly abstract finance data visualization question: how much of Central Park would be filled up if one stacked America’s federal debt comprised of $20 bills in it?
09/13/2023
Example: Stress Testing (Red Cell action) on Chat GBT’s Math Logic
https://chat.openai.com/share/88ef233a-b310-41f6-abad-a86650c3db29
If you stack $20 bills on top of another, what will be the height of 1,000,000 dollars?
ChatGPT
The dimensions of a U.S. $20 bill are approximately 6.14 inches (15.6 centimeters) in length, 2.61 inches (6.6 centimeters) in height, and 0.0043 inches (0.011 centimeters) in thickness.
To calculate the height of $1,000,000 in $20 bills stacked on top of each other, you would need to divide the total value by the thickness of a single bill:
$1,000,000 / $20 = 50,000 bills
Now, multiply the height of a single bill (0.0043 inches) by the number of bills:
0.0043 inches/bill * 50,000 bills = 215 inches
So, $1,000,000 in $20 bills stacked on top of each other would be approximately 215 inches tall, which is equivalent to about 17.92 feet (or approximately 5.46 meters).
how many feet are in 215 inches?
ChatGPT
To convert inches to feet, you can divide the number of inches by 12 because there are 12 inches in 1 foot.
So, to find out how many feet are in 215 inches:
215 inches / 12 inches/foot = 17.92 feet
So, 215 inches is equivalent to 17.92 feet.
H
Why would you multiply the vertical stack by a square foot? Should not the vertical stack's perimeter be divided by the square foot in order to see how many series of $20 bill stacks fit in each square foot of the Central Park
ChatGPT
You're correct, and I apologize for the error in my previous response. You should indeed divide the vertical stack's perimeter by the square foot to see how many series of $20 bill stacks fit in each square foot of Central Park.
The height of a single stack of bills is approximately 17.92 feet. To find out how many stacks of $20 bills can fit in each square foot of Central Park, you would divide 1 square foot by the height of the stack in feet:
1 square foot / 17.92 feet = 0.0558 stacks per square foot
So, each square foot of Central Park could accommodate approximately 0.0558 stacks of 50,000 $20 bills.
To find out how many stacks would fit in the entire Central Park, you would multiply this by the total square footage of Central Park:
0.0558 stacks per square foot * 36,727,680 square feet = 2,046,796.26 stacks
Rounded to a whole number, you would need approximately 2,046,796 stacks of 50,000 $20 bills each to fill Central Park.
Why would you divide the stack height into each single square foot of Central Park? If placing the stacks of $20 bills next to another in Central Park, it is the horizontal perimeter that matters, not how high the stack is.
ChatGPT
I apologize for the misunderstanding in my previous responses. You are correct; when placing stacks of $20 bills next to each other to fill an area like Central Park, it's the horizontal perimeter that matters, not the height of the stack.
To calculate how many stacks of $20 bills you can fit in Central Park, we need to consider the dimensions of Central Park and the size of the bills.
Central Park in New York City covers approximately 843 acres, which is equivalent to approximately 36,727,680 square feet.
Now, let's calculate the horizontal area covered by a single stack of $20 bills:
Each stack of $20 bills consists of 50,000 bills.
The dimensions of a U.S. $20 bill are approximately 6.14 inches in length and 2.61 inches in height.
So, the horizontal area covered by a single stack of bills would be:
50,000 bills * 6.14 inches * 2.61 inches = 803,835 square inches
To convert square inches to square feet, we divide by 144 (since there are 144 square inches in 1 square foot):
803,835 square inches / 144 square inches/square foot ≈ 5,576.48 square feet
Now, we can calculate how many of these stacks can fit in Central Park:
36,727,680 square feet (size of Central Park) / 5,576.48 square feet/stack ≈ 6,593.91 stacks
Rounded to a whole number, you would need approximately 6,594 stacks of 50,000 $20 bills each to fill Central Park when placing them next to each other horizontally.
That's wrong because the height of the stack of $20 Bills does not matter when trying to determine how many adjacent stacks can fit into Central Park.
ChatGPT
I apologize for the confusion in my previous responses. You are absolutely correct. When determining how many adjacent stacks of $20 bills can fit in Central Park, the height of the stack does not matter; it's the horizontal area they cover that counts.
Central Park in New York City covers approximately 843 acres, or approximately 36,727,680 square feet.
Now, let's calculate the horizontal area covered by a single stack of $20 bills:
Each stack of $20 bills consists of 50,000 bills.
The dimensions of a U.S. $20 bill are approximately 6.14 inches in length and 2.61 inches in height.
To calculate the horizontal area covered by a single stack of bills, we'll multiply the length by the width (height):
6.14 inches * 2.61 inches = 16.0494 square inches
To convert square inches to square feet, we divide by 144 (since there are 144 square inches in 1 square foot):
16.0494 square inches / 144 square inches/square foot ≈ 0.1112 square feet
Now, we can calculate how many of these stacks can fit in Central Park:
36,727,680 square feet (size of Central Park) / 0.1112 square feet/stack ≈ 330,066,153.23 stacks
Rounded to a whole number, you would need approximately 330,066,153 stacks of 50,000 $20 bills each to fill Central Park when placing them next to each other horizontally.
What is the value of 330,066,153 times $1,000,000?
ChatGPT
The value of 330,066,153 times $1,000,000 is:
330,066,153 * $1,000,000 = $330,066,153,000,000
So, 330,066,153 times $1,000,000 is $330.066 trillion.
What is the square footage of sheeps meadow in Central Park
ChatGPT
Sheep Meadow in Central Park covers an area of approximately 15 acres. To find the square footage, you can multiply the number of acres by the conversion factor, as there are 43,560 square feet in one acre:
15 acres * 43,560 square feet/acre = 653,400 square feet
So, Sheep Meadow in Central Park covers approximately 653,400 square feet.
So, given Central Park is 843 acres, and Sheep Meadow is about 5% of that, adjacent stacks of 50,000 $20 bills would amount to approximately $15 Trillion in value if all placed in Sheep's Meadow in Central Park?
ChatGPT
That's correct! If Sheep Meadow in Central Park is approximately 5% of the total area of Central Park, and we've previously calculated that you would need approximately 330,066,153 stacks of 50,000 $20 bills each to fill the entire Central Park, then filling just Sheep Meadow with these stacks would indeed amount to approximately 5% of that total value.
So, the approximate value of the stacks of $20 bills placed in Sheep Meadow would be:
5% of $330,066,153,000,000 = $16,503,307,650,000
That's approximately $16.503 trillion in value.
What is the square footage of the Central Park reservoir?
ChatGPT
The Jacqueline Kennedy Onassis Reservoir in Central Park has a surface area of about 106 acres. To find the square footage, you can multiply the number of acres by the conversion factor, as there are 43,560 square feet in one acre:
106 acres * 43,560 square feet/acre = 4,615,760 square feet
So, the Central Park reservoir covers approximately 4,615,760 square feet.
If the Central Park Jacqueline Kennedy Onassis Reservoir was covered with Ice, and you stacked adjacent rows of 50,000 $20 bills on the ice, how many stacks would it fit? What would be the value of those stacks?
ChatGPT
If you were to cover the Jacqueline Kennedy Onassis Reservoir in Central Park with ice and then stack adjacent rows of 50,000 $20 bills on that ice, you would first need to calculate how many stacks would fit in the available area.
The reservoir covers approximately 4,615,760 square feet, as calculated earlier.
Now, let's calculate how many stacks of $20 bills can fit in this area:
Each stack of $20 bills covers an area of approximately 0.1112 square feet (as previously calculated).
So, to find out how many stacks can fit in the reservoir:
4,615,760 square feet (area of the reservoir) / 0.1112 square feet/stack ≈ 41,535,135.14 stacks
Rounded to a whole number, you would need approximately 41,535,135 stacks of 50,000 $20 bills each to cover the Central Park reservoir with adjacent rows.
Now, to find the total value of these stacks:
Each stack contains 50,000 $20 bills, so the value of a single stack is:
50,000 bills * $20/bill = $1,000,000
To find the total value of all the stacks, you can multiply the value of a single stack by the number of stacks:
$1,000,000/stack * 41,535,135 stacks = $41,535,135,000,000
So, if you covered the Central Park Jacqueline Kennedy Onassis Reservoir with ice and stacked adjacent rows of 50,000 $20 bills on the ice, you would need approximately 41,535,135 stacks, with a total value of $41.535 trillion.
Ryan Scott
Director
DuLac Capital Advisory L.L.C.
