Comprehensive and Detailed In-Depth Explanation:
Gain sharing is a compensation program where employees receive bonuses tied directly to the company's cost- saving measures and productivity improvements. This approach aligns employees' interests with organizational goals by rewarding them for identifying and implementing efficiencies that reduce costs.
Unlike profit sharing, which is based on overall profitability, gain sharing focuses specifically on performance improvements that lead to cost savings. Commissions are typically related to sales performance, and pensions are long-term retirement benefits not directly linked to immediate cost-saving efforts. Therefore, gain sharing is the most indicative of targeting cost-saving objectives.

The market interest rate (yield to maturity, YTM) is calculated using the following formula:
YTM=Coupon Payment+(Face Value#Market PriceYears to Maturity)Face Value+Market Price2YTM = \frac
{\text{Coupon Payment} + \left( \frac{\text{Face Value} - \text{Market Price}}{\text{Years to Maturity}}
\right)}{\frac{\text{Face Value} + \text{Market Price}}{2}}
YTM=2Face Value+Market PriceCoupon Payment+(Years to MaturityFace Value#Market Price) Given:
* Face Value (F) = $250,000
* Coupon Payment (C) = $30,000
* Market Price (P) = $265,000
* Time to Maturity = 1 year
* Calculate the Yield to Maturity (YTM) using the Approximation Formula:
Step-by-Step Calculation:YTM=30,000+(250,000#265,0001)250,000+265,0002YTM = \frac{30,000 + \left(
\frac{250,000 - 265,000}{1} \right)}{\frac{250,000 + 265,000}{2}}YTM=2250,000+265,00030,000+ (1250,000#265,000) YTM=30,000+(#15,000)250,000+265,0002YTM = \frac{30,000 + (-15,000)}{\frac
{250,000 + 265,000}{2}}YTM=2250,000+265,00030,000+(#15,000) YTM=15,000257,500YTM = \frac
{15,000}{257,500}YTM=257,50015,000 YTM=0.0583 or 5.83% (Current Yield)YTM = 0.0583 \text{ or }
5.83\% \text{ (Current Yield)}YTM=0.0583 or 5.83% (Current Yield)
* Convert the YTM to an Annual Percentage Rate:
Since this is a one-year bond, the actual yield to maturity is equivalent to the total return:
Total return=30,000+(#15,000)265,000=15,000265,000\text{Total return} = \frac{30,000 + (-15,000)}
{265,000} = \frac{15,000}{265,000}Total return=265,00030,000+(#15,000)=265,00015,000 YTM=5.66%
+250,000#265,000265,000=12.26%YTM = 5.66\% + \frac{250,000 - 265,000}{265,000} = 12.26\%YTM=5.
66%+265,000250,000#265,000=12.26%
Final Answer:Since 12.26% falls between 12.01% and 12.50%, option (C) is correct.
* IIA GTAG 3: Continuous Auditing - Emphasizes the importance of financial metrics like yield calculations in investment risk assessments.
* COSO ERM Framework - Performance Component - Highlights the significance of market rates in financial decision-making and risk management.
* IFRS 9 - Financial Instruments - Covers bond valuation and interest rate calculations.
IIA References:Conclusion:Since the market interest rate falls between 12.01% and 12.50%, option (C) is the correct answer.