1 | FV=PV*((1+i)^N) | ||||
PV=Present Value =$10 | |||||
i= interest rate=6%=0.06 | |||||
N=Number of Years=(30-1)=29 | |||||
Fv=Future Value =10*(1.06^29)= | $54.18 | ||||
Amount in account on 30th birthday | $54.18 | ||||
2 | PV=Present Value =$9000 | ||||
i= interest rate=12%=0.12 | |||||
N=Number of Years=2 | |||||
Fv=Future Value =9000*(1.12^2)= | $11,289.60 | ||||
Maximum amount can be spent =2*11289.60 | $22,579.20 | ||||
3 | FV=Future Value =$8000 | ||||
i= interest rate=6%=0.06 | |||||
N=Number of Years=13 | |||||
Pv=Present Value =8000/(1.06^13)= | $3,750.71 | ||||
Amount to be invested today | $3,750.71 | ||||
4 | FV=Future Value =$10,000,000 | ||||
i= interest rate=5%=0.05 | |||||
N=Number of Years=3 | |||||
Pv=Present Value =10000000/(1.05^3)= | $8,638,376 | ||||
Amount to be received right now | $8,638,376 | ||||
please answer all in full 1. On your 1st birthday, you received a $10 savings account...
answer both please 12. Now let's work backwards. Assume that you will all live until 100 (a good news!), but will have to retire by 65 (a bad news^^). You estimate that you will need to draw at least $3,000 per month of living expenses out of your retirement account after you retire (assume no inflation). Suppose that your retirement account will keep earning 6% APR after you retire. If you want to ensure that your retirement account will not...
You fell that you can retire, if you have the equivalent of $2 million of today’s purchasing power in your retirement account when you retire. Currently, you have $50,000 in this account and you anticipate that your investments will earn an average return of 6% per year (APR with monthly compounding). You expect to inflation to average 2% per year (also APR with monthly compounding). You want to retire exactly 30 years from today. You plan to start putting the...
A couple will retire in 20 years. Currently, they have $225,000 in savings and invest $2,000 in a mutual fund each month that pays a 9% APR (monthly compounding) on average. (assume end of month contributions) A couple wishes to retire in Florence, Italy. The couple will need to withdraw $12,000 per month (beginning of the month) in retirement to live in a nice pension (apartment) near the Ufezi Museum. Their money will earn 3.6% APR with monthly compounding in...
Suppose you have 25 years until you retire, and that you desire a retirement nest-egg of $2,500,000 on the day you retire. Suppose also that you’ve saved $100,000 toward your retirement so far, and that your investment account earns a nominal rate of 7.5% per year, compounded monthly. In addition, suppose you expect a windfall inheritance of $200,000 five years from now that you will invest in this account. a) What is the effective interest rate, or annual percentage yield,...
c.)“Give me $10,000 today and I'll return $16,000 to you in five years," offers your investment broker. To the nearest tenth of a percent, what annual interest rate is being offered? d.)How much money would you have to put away at the end of each year to have $1,600,000 when you retire 26 years from now if you can earn 4% on your money? e.)How much can be accumulated if $2,375 is deposited at the end of each month for...
You receive $4,000 from your
aunt when you turn 21 and you immediately invest the money in a
saving account. The account earns 12% annual rate, with continuous
compounding. You get your first job after 5 years. a. Determine the
accumulated saving in this account at the end of 5 years. b. You
want to retire from work in 20 years. If you deposit $100 into your
account every month for the first 10 years, and $200 every month
for...
When you start your first full-time job, you plan to open a retirement savings account. Your goal is to retire 25 years from the day you start working. You will use a retirement investment account that pays 5.5% nominal interest, compounded annually, and you want to have exactly $400,000 in that account when you retire. You will make end of year deposits every year for the 25 years working, and you expect your income will increase 4% per year throughout...
You are planning your retirement in 10 years. You currently have $166,000 in a bond account and $606,000 in a stock account. You plan to add $7,400 per year at the end of each of the next 10 years to your bond account. The stock account will earn a return of 11 percent and the bond account will earn a return of 7.5 percent. When you retire, you plan to withdraw an equal amount for each of the next 24...
Show the excel formulas used
Ex. 1 You have $5,000 in your savings account that pays 4% interest. How much will you have in your account after 20 years, a) if your bank pays annually compounded interest? b) if your bank pays monthly compounded interest? c) if your bank pays daily compounded interest? Current balance Interest Years Compounding Annually Monthly Daily a) FV b) FV c) FV Ex. 2 If you need $10,000 in 7 years and you can earn...
QUESTION 5 You would like to plan for your retirement. You have gathered or assumed the following information: You just turned 30 years of age, and currently have zero savings. You plan to work until you turn 50 years old, at which time you would like to retire. During retirement, assume that you will have no sources of income other than what you can earn on the money that you have saved up for retirement. For the...