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多乐登 · 2025年04月21日

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NO.PZ202410180200002403

问题如下:

Evaluate Patel’s ability to generate his retirement needs in 10 years after accounting for the effects of inflation on his small business income and his securities portfolio value

解释:

Patel requires EUR200,000 of real purchasing power throughout retirement. His pension income will adjust for inflation, so this amounts to EUR50,000 of real income. So, he needs EUR 150,000 of real income from his securities portfolio and his small business income. The effects of inflation on his small business income are as follows if it remains at a nominal amount of EUR120,000 per year: Real business income in 10 years = 120,000 x (1 - 0.05)^10 = 71,848 So, in 10 years, the inflation of 5% annually is expected to reduce the purchasing power of Patel's small business income to EUR71,848. Deducting this amount from EUR150,000 gives a subtotal of EUR78,152. Can the securities portfolio provide 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 = 1.27840

Multiplying this amount by the current portfolio value of EUR4 million gives EUR5,113,600. The securities portfolio generates a 2% pretax cash distribution taxed annually at a 40% rate; thus, the after-tax distribution is 1.2% of the portfolio value. Cash distribution in real terms in 10 years = 0.012 x 5,113,600 = EUR61,363 Thus, Patel faces an income shortfall in 10 years ofEUR16,789 (= 78,152— 61,363). To cover the shortfall, Patel may have to consider liquidating small portions of his securities portfolio to generate additional cash flow each year. Of course, such reductions will cause a decline in the value of his portfolio, thus also reducing future cash distributions from the portfolio, so these would have to be considered as well.

Accounting for inflation:

Patel’s retirement needs 200k 


Pension benefits 50k


The business income 

120K/1.05^10=73.66K


distributions from his portfolio 

4000k *(1.065/1.05)^10*(2%*60%)=55.31K


50+73.66+55.31=179<200


So Patel is unable to generate retirement needs 

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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

2025-04-05 21:06 1 · 回答

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2025-03-31 17:53 1 · 回答

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. 200,000-50,000=150,000120000/(1+5%)^10=73,669.594000000* [(1+6.5%)/(1+5%)]^ 10=4,609,598.284,609,598.28* 2%*(1-0.4)=55,315.1873,669.59+73,669.59=128,984.77 150,000so Patel can't generate his retirement nee in 10 years after accounting for the effects of inflation on his small business income anhis securities portfolio value,because the two sourof income (128,984.77) is less th150,000 whihe nee.老师,我感觉这题有bug,其实small business的income是每年都有,当年的不需要考虑扣减10年inflation,每年都有,又不是10年前的120000,谢谢老师

2025-02-05 20:26 1 · 回答

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2025-01-25 21:19 2 · 回答

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2025-01-19 17:50 1 · 回答