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Treasury Note Calculator

Bond Price Formula:

\[ Price = \sum \left[ \frac{C}{(1 + y)^t} \right] + \frac{FV}{(1 + y)^n} \]

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1. What is a Treasury Note Calculator?

Definition: This calculator estimates the price of a Treasury note based on coupon payments, yield to maturity, face value, and time to maturity.

Purpose: It helps investors determine the fair value of Treasury notes based on current market conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Price = \sum \left[ \frac{C}{(1 + y)^t} \right] + \frac{FV}{(1 + y)^n} \]

Where:

Explanation: The formula discounts all future cash flows (coupon payments and face value) to their present value using the yield to maturity as the discount rate.

3. Importance of Bond Pricing

Details: Accurate bond pricing helps investors make informed decisions about buying or selling Treasury notes in the secondary market.

4. Using the Calculator

Tips: Enter the coupon payment (annual amount), yield to maturity (as decimal, e.g., 0.05 for 5%), face value (typically $1,000), and number of years to maturity.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between coupon rate and yield?
A: Coupon rate is fixed and determines the payment amount, while yield changes with market conditions and reflects current return.

Q2: Why does price change inversely with yield?
A: As yields rise, existing bonds with lower coupons become less attractive, so their prices fall to match the new yield environment.

Q3: What's a typical face value for Treasury notes?
A: Most Treasury notes have a face value of $1,000, though prices are often quoted per $100 of face value.

Q4: How often are coupon payments made?
A: Treasury notes pay semiannual coupons, but this calculator uses annual compounding for simplicity.

Q5: What happens if I enter a yield of 0?
A: The calculator will simply sum all future cash flows without discounting, which isn't realistic in normal markets.

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