这个题没太懂，最后第十年少的最多，那么中间每一年怎么办？

NO.PZ202410180200002403 问题如下 Sharfepto Zik, a private wealth manager, is meeting with a 60-year-olclient, Garbanzo Patel, in orr to create IPS for Patel’s upcoming retirement in the next year. Patel estimates thhe will require EUR200,000 per year, with annuincreases for inflation, ring retirement. Patel’s primary spenng goals ring retirement are to provi for his family’s nee anmaintain his retirement lifestyle. His seconry goals are to funhis philanthropic activities anleave a significant inheritanto his chilen. ring his retirement, Patel will receive union pension payments of EUR50,000 per yewith annuincreases for inflation. In his spare time, Patel runs a small business thprovis him with annuincome of EUR120,000 anis valueEUR1 million. He will continue running his business ring retirement. Patel hol a portfolio of securities valueapproximately EUR4 million with a cost basis of EUR1 million. Patel expects annupretcapitgains return of 6.5% per yeon his securities portfolio. The capitgains trate is 20%. The portfolio primarily contains vinpaying stocks aninterest-bearing bon, anthe yielon the portfolio is 2%. Both stovinanboninterest are taxeannually a rate of 40%. In the past, Patel hreinvesteall these stributions bainto his portfolio but anticipates thafter retirement he mneeto use some of the stributions to funhis expenses. Aitionally, Patel plans to buy a vacation home to enjoy his early retirement years anexpects to holthe home for 10 years. His buet for the vacation home is approximately EUR1.7 million. He expects 8% annupretappreciation in the value of his vacation home anexpects to pcapitgains tof 20% on the sale of this vacation home. Patel is consiring selling half of his securities portfolio to funthe vacation home purchase. Patel is also worrieabout the effects of inflation. While his pension income will aust for inflation, he is concerneththe income from his small business is unlikely to aust with inflation. He asks Zik to analysis to assess whether his income sources are expecteto sufficient in 10 years to cover the effects of inflation of 5% per ye Evaluate Patel’s ability to generate his retirement nee in 10 years after accounting for the effects of inflation on his small business income anhis securities portfolio value Patel requires EUR200,000 of repurchasing power throughout retirement. His pension income will aust for inflation, so this amounts to EUR50,000 of reincome. So, he nee EUR 150,000 of reincome from his securities portfolio anhis small business income. The effects of inflation on his small business income are follows if it remains a nominamount of EUR120,000 per year: Rebusiness income in 10 years = 120,000 x (1 - 0.05)^10 = 71,848 So, in 10 years, the inflation of 5% annually is expecteto rethe purchasing power of Patel's small business income to EUR71,848. cting this amount from EUR150,000 gives a subtotof EUR78,152. Cthe securities portfolio provi this amount of income in 10 years? Applying the following formula to the value of the securities portfolio:FVIF tx,inflation==[l + r (1-tx）］^T— (1 —π）^ T=[1 + 0.065 (1 — 0)] ^10— (1 — 0.05) ^10 = 1.27840Multiplying this amount the current portfolio value of EUR4 million gives EUR5,113,600. The securities portfolio generates a 2% pretcash stribution taxeannually a 40% rate; thus, the after-tstribution is 1.2% of the portfolio value. Cash stribution in reterms in 10 years = 0.012 x 5,113,600 = EUR61,363 Thus, Patel faces income shortfall in 10 years ofEUR16,789 (= 78,152— 61,363). To cover the shortfall, Patel mhave to consir liquiting small portions of his securities portfolio to generate aitioncash flow eayear. Of course, surections will cause a cline in the value of his portfolio, thus also recing future cash stributions from the portfolio, so these woulhave to consirewell. 他不是卖了一半的组合去购买小屋了吗？为什么还是用4M在计算呢？

NO.PZ202410180200002403问题如下 Evaluate Patel’s ability to generate his retirement nee in 10 years after accounting for the effects of inflation on his small business income anhis securities portfolio value Patel requires EUR200,000 of repurchasing power throughout retirement. His pension income will aust for inflation, so this amounts to EUR50,000 of reincome. So, he nee EUR 150,000 of reincome from his securities portfolio anhis small business income. The effects of inflation on his small business income are follows if it remains a nominamount of EUR120,000 per year: Rebusiness income in 10 years = 120,000 x (1 - 0.05)^10 = 71,848 So, in 10 years, the inflation of 5% annually is expecteto rethe purchasing power of Patel's small business income to EUR71,848. cting this amount from EUR150,000 gives a subtotof EUR78,152. Cthe securities portfolio provi this amount of income in 10 years? Applying the following formula to the value of the securities portfolio:FVIF tx,inflation==[l + r (1-tx）］^T— (1 —π）^ T=[1 + 0.065 (1 — 0)] ^10— (1 — 0.05) ^10 = 1.27840Multiplying this amount the current portfolio value of EUR4 million gives EUR5,113,600. The securities portfolio generates a 2% pretcash stribution taxeannually a 40% rate; thus, the after-tstribution is 1.2% of the portfolio value. Cash stribution in reterms in 10 years = 0.012 x 5,113,600 = EUR61,363 Thus, Patel faces income shortfall in 10 years ofEUR16,789 (= 78,152— 61,363). To cover the shortfall, Patel mhave to consir liquiting small portions of his securities portfolio to generate aitioncash flow eayear. Of course, surections will cause a cline in the value of his portfolio, thus also recing future cash stributions from the portfolio, so these woulhave to consirewell. Accounting for inflation:Patel’s retirement nee 200k Pension benefits 50kThe business income 120K/1.05^10=73.66Kstributions from his portfolio 4000k *(1.065/1.05)^10*(2%*60%)=55.31K50+73.66+55.31=179 200So Patel is unable to generate retirement nee

NO.PZ202410180200002403 问题如下 Sharfepto Zik, a private wealth manager, is meeting with a 60-year-olclient, Garbanzo Patel, in orr to create IPS for Patel’s upcoming retirement in the next year. Patel estimates thhe will require EUR200,000 per year, with annuincreases for inflation, ring retirement. Patel’s primary spenng goals ring retirement are to provi for his family’s nee anmaintain his retirement lifestyle. His seconry goals are to funhis philanthropic activities anleave a significant inheritanto his chilen. ring his retirement, Patel will receive union pension payments of EUR50,000 per yewith annuincreases for inflation. In his spare time, Patel runs a small business thprovis him with annuincome of EUR120,000 anis valueEUR1 million. He will continue running his business ring retirement. Patel hol a portfolio of securities valueapproximately EUR4 million with a cost basis of EUR1 million. Patel expects annupretcapitgains return of 6.5% per yeon his securities portfolio. The capitgains trate is 20%. The portfolio primarily contains vinpaying stocks aninterest-bearing bon, anthe yielon the portfolio is 2%. Both stovinanboninterest are taxeannually a rate of 40%. In the past, Patel hreinvesteall these stributions bainto his portfolio but anticipates thafter retirement he mneeto use some of the stributions to funhis expenses. Aitionally, Patel plans to buy a vacation home to enjoy his early retirement years anexpects to holthe home for 10 years. His buet for the vacation home is approximately EUR1.7 million. He expects 8% annupretappreciation in the value of his vacation home anexpects to pcapitgains tof 20% on the sale of this vacation home. Patel is consiring selling half of his securities portfolio to funthe vacation home purchase. Patel is also worrieabout the effects of inflation. While his pension income will aust for inflation, he is concerneththe income from his small business is unlikely to aust with inflation. He asks Zik to analysis to assess whether his income sources are expecteto sufficient in 10 years to cover the effects of inflation of 5% per ye Evaluate Patel’s ability to generate his retirement nee in 10 years after accounting for the effects of inflation on his small business income anhis securities portfolio value Patel requires EUR200,000 of repurchasing power throughout retirement. His pension income will aust for inflation, so this amounts to EUR50,000 of reincome. So, he nee EUR 150,000 of reincome from his securities portfolio anhis small business income. The effects of inflation on his small business income are follows if it remains a nominamount of EUR120,000 per year: Rebusiness income in 10 years = 120,000 x (1 - 0.05)^10 = 71,848 So, in 10 years, the inflation of 5% annually is expecteto rethe purchasing power of Patel's small business income to EUR71,848. cting this amount from EUR150,000 gives a subtotof EUR78,152. Cthe securities portfolio provi this amount of income in 10 years? Applying the following formula to the value of the securities portfolio:FVIF tx,inflation==[l + r (1-tx）］^T— (1 —π）^ T=[1 + 0.065 (1 — 0)] ^10— (1 — 0.05) ^10 = 1.27840Multiplying this amount the current portfolio value of EUR4 million gives EUR5,113,600. The securities portfolio generates a 2% pretcash stribution taxeannually a 40% rate; thus, the after-tstribution is 1.2% of the portfolio value. Cash stribution in reterms in 10 years = 0.012 x 5,113,600 = EUR61,363 Thus, Patel faces income shortfall in 10 years ofEUR16,789 (= 78,152— 61,363). To cover the shortfall, Patel mhave to consir liquiting small portions of his securities portfolio to generate aitioncash flow eayear. Of course, surections will cause a cline in the value of his portfolio, thus also recing future cash stributions from the portfolio, so these woulhave to consirewell. 老师，请问这个思路是否可行？以下回答是否正确。pension = 50k x(1+5%)^10=81.44kbusiness = 120kv. = 4mx(1+2%x(1-40%))-4m=48kexpense=200kx(1+5%)^10=325.78kincome=81.44k+120k+48k=249.44k 325.78kincome cannot meet his retirement nee in 10 years

NO.PZ202410180200002403 问题如下 Sharfepto Zik, a private wealth manager, is meeting with a 60-year-olclient, Garbanzo Patel, in orr to create IPS for Patel’s upcoming retirement in the next year. Patel estimates thhe will require EUR200,000 per year, with annuincreases for inflation, ring retirement. Patel’s primary spenng goals ring retirement are to provi for his family’s nee anmaintain his retirement lifestyle. His seconry goals are to funhis philanthropic activities anleave a significant inheritanto his chilen. ring his retirement, Patel will receive union pension payments of EUR50,000 per yewith annuincreases for inflation. In his spare time, Patel runs a small business thprovis him with annuincome of EUR120,000 anis valueEUR1 million. He will continue running his business ring retirement. Patel hol a portfolio of securities valueapproximately EUR4 million with a cost basis of EUR1 million. Patel expects annupretcapitgains return of 6.5% per yeon his securities portfolio. The capitgains trate is 20%. The portfolio primarily contains vinpaying stocks aninterest-bearing bon, anthe yielon the portfolio is 2%. Both stovinanboninterest are taxeannually a rate of 40%. In the past, Patel hreinvesteall these stributions bainto his portfolio but anticipates thafter retirement he mneeto use some of the stributions to funhis expenses. Aitionally, Patel plans to buy a vacation home to enjoy his early retirement years anexpects to holthe home for 10 years. His buet for the vacation home is approximately EUR1.7 million. He expects 8% annupretappreciation in the value of his vacation home anexpects to pcapitgains tof 20% on the sale of this vacation home. Patel is consiring selling half of his securities portfolio to funthe vacation home purchase. Patel is also worrieabout the effects of inflation. While his pension income will aust for inflation, he is concerneththe income from his small business is unlikely to aust with inflation. He asks Zik to analysis to assess whether his income sources are expecteto sufficient in 10 years to cover the effects of inflation of 5% per ye Evaluate Patel’s ability to generate his retirement nee in 10 years after accounting for the effects of inflation on his small business income anhis securities portfolio value Patel requires EUR200,000 of repurchasing power throughout retirement. His pension income will aust for inflation, so this amounts to EUR50,000 of reincome. So, he nee EUR 150,000 of reincome from his securities portfolio anhis small business income. The effects of inflation on his small business income are follows if it remains a nominamount of EUR120,000 per year: Rebusiness income in 10 years = 120,000 x (1 - 0.05)^10 = 71,848 So, in 10 years, the inflation of 5% annually is expecteto rethe purchasing power of Patel's small business income to EUR71,848. cting this amount from EUR150,000 gives a subtotof EUR78,152. Cthe securities portfolio provi this amount of income in 10 years? Applying the following formula to the value of the securities portfolio:FVIF tx,inflation==[l + r (1-tx）］^T— (1 —π）^ T=[1 + 0.065 (1 — 0)] ^10— (1 — 0.05) ^10 = 1.27840Multiplying this amount the current portfolio value of EUR4 million gives EUR5,113,600. The securities portfolio generates a 2% pretcash stribution taxeannually a 40% rate; thus, the after-tstribution is 1.2% of the portfolio value. Cash stribution in reterms in 10 years = 0.012 x 5,113,600 = EUR61,363 Thus, Patel faces income shortfall in 10 years ofEUR16,789 (= 78,152— 61,363). To cover the shortfall, Patel mhave to consir liquiting small portions of his securities portfolio to generate aitioncash flow eayear. Of course, surections will cause a cline in the value of his portfolio, thus also recing future cash stributions from the portfolio, so these woulhave to consirewell. 组合价值400万在考虑通胀和CG之后的FV=4000000*【（1+6.5%）/(1+5%)】^10=4609598第十年现金分红税后价值=4609598*2%*（1-40%）=55315 这里为什么不考虑通胀了呢？