Let's break the problem into the following steps: ### 1. **Determine Total Compensation Cost (Fair Value Adjusted for Forfeitures)** - **Total options granted:** 68,000 - **Fair value per option:** $8.70 - **Total fair value:** 68,000 × $8.70 = **$591,600** - **Estimated forfeiture rate:** 10% - **Expected to vest:** 68,000 × (1 – 0.10) = 61,200 options - **Adjusted compensation cost:** 61,200 × $8.70 = **$532,440** --- ### 2. **Calculate Annual Compensation Expense** **Vesting Period:** 2 years **Annual expense (straight-line):** $532,440 ÷ 2 = **$266,220 per year** However, actual forfeitures must be considered each year to adjust the expense. --- ### 3. **Actual Forfeitures by Year** - **2022:** 2,500 options forfeited - **2023:** 28,000 options forfeited #### **Cumulative Forfeitures:** - End of 2022: 2,500 - End of 2023: 2,500 + 28,000 = 30,500 #### **Options actually vested:** - 68,000 – 30,500 = **37,500** #### **Actual compensation cost:** 37,500 × $8.70 = **$326,250** #### **Annual allocation over vesting period (2 years):** - $326,250 ÷ 2 = **$163,125 per year** --- ### 4. **Calculate and Allocate Compensation Expense, by Year** #### **2022** - **Options remaining at year-end:** 68,000 – 2,500 = **65,500** - **Expected compensation cost (2022):** - 65,500 × $8.70 = **$570,850** - Annual allocation: $570,850 × (1/2) = **$285,425** - **Journal entry for 2022:** - Dr. Compensation Expense $285,425 - Cr. Additional Paid-in Capital – Stock Options $285,425 #### **2023** - **Options remaining at year-end:** 65,500 – 28,000 = **37,500** - **Total compensation cost:** 37,500 × $8.70 = **$326,250** - **Total compensation expense to be recognized:** $326,250 (over 2 years) - **Cumulative expense recognized by end of 2023:** $326,250 - **Expense already recognized in 2022:** $285,425 - **Expense to recognize in 2023:** $326,250 – $285,425 = **$40,825** - **Journal entry for 2023:** - Dr. Compensation Expense $40,825 - Cr. Additional Paid-in Capital – Stock Options $40,825 --- ### 5. **Summary Table** | Year | Options Expected to Vest | Fair Value per Option | Total Comp. Cost | Cumulative Rate of Amortization | Cumulative Expense | Less: Prior Years | Current Year Expense | |------|-------------------------|----------------------|------------------|------------------------------|-------------------|-------------------|---------------------| |2022 | 65,500 | $8.70 | $570,850 | 1/2 (50%) | $285,425 | $0 | $285,425 | |2023 | 37,500 | $8.70 | $326,250 | 2/2 (100%) | $326,250 | $285,425 | $40,825 | --- ### 6. **Journal Entries** **2022:** ``` Dec 31, 2022 Dr. Compensation Expense $285,425 Cr. Additional Paid-in Capital – Stock Options $285,425 ``` **2023:** ``` Dec 31, 2023 Dr. Compensation Expense $40,825 Cr. Additional Paid-in Capital – Stock Options $40,825 ``` --- ## **Final Summary / Explanation** - The company estimated stock compensation based on 10% expected forfeiture but updated the calculation each year for actual forfeitures. - In 2022, after 2,500 options were forfeited, the compensation expense was $285,425. - In 2023, an additional 28,000 options were forfeited, leaving only 37,500 options to vest. - The total recognized compensation expense for both years was $326,250, allocated as $285,425 in 2022 and $40,825 in 2023. - The company recognized the expense over the service (vesting) period, adjusting each year for actual forfeitures, in accordance with ASC 718. **If you need the calculations for each step shown in a spreadsheet form, just let me know!**

Certainly! Here's a detailed step-by-step approach to determine the stock-based compensation expense and journal entries for 2022 and 2023: --- ### **Step 1: Gather the given data** - **Number of options granted:** 68,000 - **Exercise price:** $5.90 - **Market price at grant:** $5.90 (no intrinsic value) - **Fair value per option (Black-Scholes):** $8.70 - **Total fair value (before forfeiture adjustment):** 68,000 × $8.70 = **$591,600** - **Vesting period:** 2 years - **Option expiration:** 5 years - **Estimated forfeiture rate:** 10% - **Actual forfeitures:** - 2022: 2,500 options - 2023: 28,000 options --- ### **Step 2: Adjust total compensation for expected forfeitures** - **Expected options to vest:** 68,000 × (1 - 10%) = 68,000 × 0.90 = **61,200 options** - **Adjusted total compensation cost:** 61,200 options × $8.70 = **$532,440** --- ### **Step 3: Determine total expense to be recognized over vesting period** - The total expected compensation expense is **$532,440**, to be recognized over 2 years. - **Annual expense (before actual forfeitures):** $532,440 ÷ 2 = **$266,220 per year** --- ### **Step 4: Adjust for actual forfeitures** Actual forfeitures reduce the number of options that will vest, so the expense must be recalculated each year based on remaining options. - **At the end of 2022:** - Options remaining: 68,000 – 2,500 = **65,500** - Adjusted compensation cost for 2022: 65,500 × $8.70 = **$570,850** - **At the end of 2023:** - Options remaining: 65,500 – 28,000 = **37,500** - Adjusted compensation cost for 2023: 37,500 × $8.70 = **$326,250** --- ### **Step 5: Determine expense recognition per year** - **Total compensation expense over vesting period (2 years):** Since total options that vest are 37,500, the total expense is: 37,500 × $8.70 = **$326,250** - **Expense recognition:** - 2022: Recognize $570,850 × (1/2) = **$285,425** - 2023: Recognize remaining: $326,250 – $285,425 = **$40,825** --- ### **Step 6: Prepare journal entries** **For 2022:** ``` Dec 31, 2022 Dr. Compensation Expense $285,425 Cr. Additional Paid-in Capital – Stock Options $285,425 ``` **For 2023:** ``` Dec 31, 2023 Dr. Compensation Expense $40,825 Cr. Additional Paid-in Capital – Stock Options $40,825 ``` --- ### **Summary** - The company adjusts the estimated compensation expense each year based on actual forfeitures. - The total expense recognized over the vesting period is approximately **$326,250**. - Expense allocation: - **2022:** $285,425 - **2023:** $40,825 - The journal entries reflect the recognition of the stock-based compensation expense and the increase in additional paid-in capital. --- This step-by-step method ensures accurate accounting for stock options considering forfeitures and vesting over time.