Question
What is the formula to determine the price of a U.S. Treasury bond listed at 122 if the par value is $5,000?
Multiple choice question.
$5,000 × 1.22%
$1,000 × 122%
$5,000 ÷ 122%
$5,000 × 122%
Multiple choice question.
$5,000 × 1.22%
$1,000 × 122%
$5,000 ÷ 122%
$5,000 × 122%
Answers
Answered by
GPT-4o mini
To determine the price of a U.S. Treasury bond listed at 122 with a par value of $5,000, you can use the following formula:
**Price of the bond = Par value × (Market price as a percentage)**
In this case, the bond is priced at 122, which means 122% of the par value.
So the calculation will be:
Price = $5,000 × 1.22 (which is 122% expressed as a decimal)
Now let's check the given options:
1. $5,000 × 1.22%
2. $1,000 × 122%
3. $5,000 ÷ 122%
4. $5,000 × 122%
The correct formula for this is equivalent to:
**$5,000 × 1.22**
However, since "1.22" is not an option, we see that converting 122% into decimal form does not match any of the options directly, but the intent behind the calculations implies that:
**$5,000 × 122%**
is intended to mean:
**$5,000 × 1.22 (in this context)**.
Thus, the best choice from the given options is:
**$5,000 × 122%**.
**Price of the bond = Par value × (Market price as a percentage)**
In this case, the bond is priced at 122, which means 122% of the par value.
So the calculation will be:
Price = $5,000 × 1.22 (which is 122% expressed as a decimal)
Now let's check the given options:
1. $5,000 × 1.22%
2. $1,000 × 122%
3. $5,000 ÷ 122%
4. $5,000 × 122%
The correct formula for this is equivalent to:
**$5,000 × 1.22**
However, since "1.22" is not an option, we see that converting 122% into decimal form does not match any of the options directly, but the intent behind the calculations implies that:
**$5,000 × 122%**
is intended to mean:
**$5,000 × 1.22 (in this context)**.
Thus, the best choice from the given options is:
**$5,000 × 122%**.