In: Finance
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**
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% | ||||||||||