Question

In: Finance

you wish to retire in 12 years and currently have $50,000 in a savings account yielding...

you wish to retire in 12 years and currently have $50,000 in a savings account yielding 5% annually and $100,000 in quality blue Chip stocks yielding 10% if you expect to add $30,000 at the end of each year to your stock before lose how much will you have in your retirement fund when you retire use appendix a and appendix eat answer the question round your answer to the nearest dollar

what rate of return must you earn on your retirement funds if you want to withdraw $102,000 per year for the next 15 years after retiring. use appendix d to answer the question. round your answer to the nearest whole number.

not stock before lose. it's should have said stock portfolio**
not appendix eat. should have said appendix b**

Solutions

Expert Solution

Future Value (Fv) =Cash Flow*((1+i)^N)
i=Annual Yield
i=5%=0.05 for Savings account: i=10%=0.1 for Stock
N=Number of years to the future=12
A Future Value on retirement of $50000 in Savings Account $89,793 (50000*(1.05^12)
B Future Value on retirement of $100000 in Stock portfolio $313,843 (100000*(1.1^12)
Future Value of $ 30000 per year investment in stock portfolio
t N=12-t CF FV=CF*(1.1^N)
Year from today Years to retirement Cash Flow Future Value
1 11 $30,000 $85,594
2 10 $30,000 $77,812
3 9 $30,000 $70,738
4 8 $30,000 $64,308
5 7 $30,000 $58,462
6 6 $30,000 $53,147
7 5 $30,000 $48,315
8 4 $30,000 $43,923
9 3 $30,000 $39,930
10 2 $30,000 $36,300
11 1 $30,000 $33,000
12 0 $30,000 $30,000
SUM $641,529
C Amount accumulated from annual investment at retirement $641,529
D=A+B+c Total amount in retirement Fund $1,045,164
RATE OF RETURN REQUIRED DURING RETIREMENT:
Pv Amount available in retirement fund $1,045,164
Nper Number of annual withdrawal 15
Pmt Amount of annual withdrawal required $102,000
RATE Rate of return required 5.19% (Using RATE function of excel with Nper=15,Pmt=102000, Pv=-1045164)
Rate of return required 5%

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