Questions: What is the price (expressed as a percentage of the face value) of the Treasury bond?
Transcript text: What is the price (expressed as a percentage of the face value) of the Treasury bond?
Solution
Solution Steps
Solution Approach
Identify the face value of the Treasury bond.
Determine the current market price of the Treasury bond.
Calculate the price of the Treasury bond as a percentage of its face value using the formula: \(\text{Price Percentage} = \left(\frac{\text{Market Price}}{\text{Face Value}}\right) \times 100\).
Step 1: Identify Given Values
We are given the face value and the market price of the Treasury bond:
Face Value (\(FV\)) = 1000
Market Price (\(MP\)) = 950
Step 2: Calculate the Price as a Percentage of the Face Value
The price of the Treasury bond as a percentage of its face value is calculated using the formula:
\[
\text{Price Percentage} = \left(\frac{\text{Market Price}}{\text{Face Value}}\right) \times 100
\]
Substituting the given values:
\[
\text{Price Percentage} = \left(\frac{950}{1000}\right) \times 100 = 95.00\%
\]
Final Answer
The price of the Treasury bond as a percentage of the face value is:
\[
\boxed{95.00\%}
\]