To find the bond's yield to maturity (YTM), we'll need to solve the following equation, which equates the bond's current price to the present value of its future cash flows:

$P = \sum \left( \frac{C}{(1 + r/2)^{2t}} \right) + \frac{\text{Par Value}}{(1 + r/2)^{2N}}$

Where:

• $P$ is the bond's market price
• $C$ is the semiannual coupon payment
• $r$ is the annual yield to maturity (YTM) we're solving for
• $t$ is the period number (from 1 to $N$)
• $N$ is the number of years to maturity

Given Data:

• Market price $P = \$750$
• Par value $= \$1,000$
• Annual coupon rate $= 12\%$
• Coupon payment $= 12\% \times 1,000 / 2 = \$60$ per semiannual period

We'll need to solve for $r$ using iterative methods, as there is no closed-form solution for YTM. We'll calculate the YTM for three different maturities:

1. Maturity of 6 years (12 semiannual periods)
2. Maturity of 12 years (24 semiannual periods)
3. Maturity of 3 years (6 semiannual periods)

Let's calculate the YTM for each scenario.