Final answer:
The final value of the bond is $76,127.91.
Step-by-step explanation:
To calculate the final value of a treasury bond, we need to use the formula for compound interest:
Final Value = Principal * (1 + Interest Rate)^Number of Years.
In this case, the principal is $15,000, the interest rate is 7.5%, and the number of years is 26. Plugging these values into the formula, we get:
Final Value = $15,000 * (1 + 0.075)^26 = $76,127.91
Therefore, the final value of the bond is $76,127.91.