To calculate Peter’s net federal tax liability for the year, we need to follow these steps:

Step 1: Calculate Peter’s taxable income. This is the amount of income that is subject to federal income tax. It is equal to his earned income from employment plus his net capital gain plus his grossed-up dividend income. A net capital gain is 50% of the capital gain realized from selling an asset. A grossed-up dividend income is the actual dividend received plus a percentage of the dividend that reflects the corporate tax paid by the issuer. According to the image, the dividend gross-up rate is 15.02%. Therefore, Peter’s taxable income is:

50000+0.5×15000+(500×2)×(1+0.1502)=68251.00

Step 2: Apply the federal tax rates to Peter’s taxable income according to the tax brackets shown in the image. The federal tax rates are progressive, meaning that higher income is taxed at higher rates. Therefore, Peter’s federal tax before credits is:

0.15×(48535−0)+0.205×(68251−48535)=11293.69

Step 3: Subtract the federal tax credits from Peter’s federal tax before credits. A tax credit is an amount that reduces the tax payable by a taxpayer. There are two types of federal tax credits: non-refundable and refundable. Non-refundable tax credits can only reduce the tax payable to zero, but not below zero. Refundable tax credits can reduce the tax payable below zero, resulting in a refund to the taxpayer. In this question, we assume that Peter only has two non-refundable tax credits: the basic personal amount and the dividend tax credit. The basic personal amount is a fixed amount that every taxpayer can claim to reduce their taxable income. According to this site, the basic personal amount for 2021 is $13,808. The dividend tax credit is a percentage of the grossed-up dividend income that reflects the corporate tax paid by the issuer and avoids double taxation. According to this site, the federal dividend tax credit rate for eligible dividends in 2021 is 15.0198%. Therefore, Peter’s federal tax credits are:

0.15×13808+0.150198×(500×2)×0.1502=2100

Step 4: Subtract Peter’s federal tax credits from his federal tax before credits to get his net federal tax liability. This is the amount of federal income tax that Peter has to pay or has overpaid for the year. Therefore, Peter’s net federal tax liability is:

11293.69−2100=9193.69

Hence, option B is correct. References: Canadian Investment Funds Course (CIFC) | IFSE Institute, Federal Income Tax Rates for Canada - TurboTax Canada Tips, Capital Gains Tax in Canada | Wealthsimple, Dividend Tax Credit | TurboTax Canada Tips, Basic Personal Amount (BPA)