If you are buying or selling a US Treasury Bond, you can use this online tool to calculate the price for a $100 face value from a given YTM (Yield To Maturity). Other performance measures are also provided, including coupon payment dates, interest incomes and capital gain at maturity.

Buying/selling price and other information calculated by FYIcenter.com:

Unit price: $76.1635 for $100.00 face value.

Security Details:
  Security type: US Treasury Bond
  Unit price: $76.1635 for $100.00 face value
  Accrued interest: $0.00 for $1,000.00 face value.
  Totoal price: $761.6346 for $1,000.00 face value
  Current yield: 1.6202%
  Approximate YTM: 2.3030%
  YTM (Yield To Maturity): 2.3450%.
  Maturity date: 2055-12-15
  Days/months/years/weeks left: 10957/360.00/30.00/1,565.29
  Previous coupon date: 2025-12-15
  Next coupon date: 2026-06-15

Income Information:
  Interest income for 2026: $12.34
  Interest income for 2027: $12.34
  Interest income for 2028: $12.34
  Interest income for 2029: $12.34
  Interest income for 2030: $12.34
  Interest income for 2031: $12.34
  Interest income for 2032: $12.34
  Interest income for 2033: $12.34
  Interest income for 2034: $12.34
  Interest income for 2035: $12.34
  Interest income for 2036: $12.34
  Interest income for 2037: $12.34
  Interest income for 2038: $12.34
  Interest income for 2039: $12.34
  Interest income for 2040: $12.34
  Interest income for 2041: $12.34
  Interest income for 2042: $12.34
  Interest income for 2043: $12.34
  Interest income for 2044: $12.34
  Interest income for 2045: $12.34
  Interest income for 2046: $12.34
  Interest income for 2047: $12.34
  Interest income for 2048: $12.34
  Interest income for 2049: $12.34
  Interest income for 2050: $12.34
  Interest income for 2051: $12.34
  Interest income for 2052: $12.34
  Interest income for 2053: $12.34
  Interest income for 2054: $12.34
  Interest income for 2055: $12.34
  Interest income for 2056: $6.17
  Capital gain income for 2056: $238.37
  Total income: $614.74

--------------------------------------------
Sensibility Tests: 
        YTM    Chg Val |     Price    Chg Rate
  ---------  --------- |  ---------  ---------
    2.3450%   baseline |   $76.1635   baseline
    2.4450%     0.1000 |   $74.3618   -2.3656%
    3.3450%     1.0000 |   $60.2191  -20.9344%

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Related Conversion Tools:
  YTM (Yield To Maturity) to Price Converter for T-Bonds
  Price to YTM (Yield To Maturity) Converter for T-Bonds

The following formulas are used in the above calculations:

$\text{If n = 1,}\mathrm{PV}={\displaystyle \frac{\mathrm{Par}}{1+0.5\times \mathrm{YTM}\times f}}+{\displaystyle \frac{\mathrm{Coupon}}{1+0.5\times \mathrm{YTM}\times f}}$
$\text{If n > 1,}\mathrm{PV}={\displaystyle \frac{\mathrm{Par}}{{(1+0.5\times \mathrm{YTM})}^{n-1+f}}}+{\displaystyle \sum _{i=1}^n}{\displaystyle \frac{\mathrm{Coupon}}{{(1+0.5\times \mathrm{YTM})}^{i-1+f}}}$
$\mathrm{PV}=\text{Present Value (Investment)}$
$\mathrm{PV}=\text{Par*Price/100 + (Accrued Interest)}$
$\mathrm{Par}=\text{Par value (Face value)}$
$n=\text{Number of coupon periods}$
$f=\text{1 - Days/Period (first period fraction, 1 for full period)}$
$\mathrm{Days}=\text{Accrued days (days since the last payment date)}$
$\mathrm{Period}=\text{Days in the first period}$

For more information, see the following tutorials:

• YTM (Yield To Maturity) on US T-Note/T-Bond
• YTM with Fractional Period on US T-Note/T-Bond
• One-Period YTM on US T-Note/T-Bond

⇒ Price to YTM (Yield To Maturity) Converter for T-Bonds

⇐ Price to YTM (Yield To Maturity) Converter for T-Notes

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