Question

In: Finance

You are saving $6000 for a bike that you will buy 6 years from now (t=6)....

You are saving $6000 for a bike that you will buy 6 years from now (t=6). You plan
to deposit $X a year, at the end of every year for the 6 years. You are so eager that
you make your first deposit today (at t=0). Your dad is so impressed with you that
he matches your first deposit (the one at t=0) to help you save the money. Find the
$X that you need to deposit each year to raise the money for the bike. (Note that
your last deposit is at t=6)

Solutions

Expert Solution

Its a simple question of division

suppose if you have to save $6000 in 6 years of time

than if you will divide your amount in the course of 6 years than we will get 6000/6 = 1000

i.e one must have to save $1000 every year for 6 years to get the final amount of $6000 to purchase the bike


Related Solutions

You wish to buy a car in 2.5 years and would like to start saving now...
You wish to buy a car in 2.5 years and would like to start saving now for the down payment. Figure a 15 % down payment. Target price will be $65000. You currently have the ability to earn an after tax rate of 9.5% on investments. When you purchase the car you plan to finance it at 2.9% for 4 years. How much will you be financing when the time comes? How do you find that amount? What calculation will...
A total debt of $ 1,000 due now, $4000 due 2 years from now, and $6000...
A total debt of $ 1,000 due now, $4000 due 2 years from now, and $6000 due 5 years from now is to be repaid by 3 payments. (1) The first payment is made now. (2) The second payment, which is 80% of the first, is made at the end of 30 months from now. (3) The third payment, which is 60% of the second, is made at the end of 4 years from now. The annual interest rate is...
Two years ago, on July 2nd, 2018 you started saving for a bike. At that time,...
Two years ago, on July 2nd, 2018 you started saving for a bike. At that time, you made your first of a sequence of 5 consecutive equal deposits to pay for the bike. Today, on July 2nd 2020, your dad is chipping in $500 to help you along your way to your goal of having $10,000 in four years time (which will be July 2nd, 2024). Today, you made your third, out of the five deposits. Figure out what the...
Jimmy deposits $4,000 now, $2,500 3 years from now, and $5,000 6 years from now. Interest...
Jimmy deposits $4,000 now, $2,500 3 years from now, and $5,000 6 years from now. Interest is 5% for the first 3 years and 7% for the last 3 years. a) What is the uniform series equivalent of the fund (uniform cash flow at end of years 1 through 6)?
You want to buy a house 5 years from now, and you plan to save $4100...
You want to buy a house 5 years from now, and you plan to save $4100 per year. beginning Immediately. You will make 5 deposits in an account that pays 4.3% interest. Under these assumptions, how much will you have 5 years from today? Company XYZ soustanding bonds have a $1.000 value and they mature in 25 years. Their nominal yield to maturity is 9.66 % they pay interest semiannually, and they sell at a price of $850. What is...
You want to buy a new sports car 3 years from now, and you plan to...
You want to buy a new sports car 3 years from now, and you plan to save $4,000 per year, beginning one year from today.  You will deposit your savings in an account that pays 6.5% interest.  How much will you have just after you make the 3rd deposit, 3 years from now? Group of answer choices $12,986 $12,635 $12,364 $12,486
You want to buy a new sports car 3 years from now, and you plan to...
You want to buy a new sports car 3 years from now, and you plan to save $4,200 per year, beginning immediately from today. You will deposit your savings in an account that pays 9.5% interest. How much will you have 3 years from now? a.   $11,973 b.   $12,603 c.   $13,267 d.   $13,835 e.   $15,149
You want to buy a car for cash 5 years from now. The car price at...
You want to buy a car for cash 5 years from now. The car price at that time will be 20000 dollars. To this end you want to make an annuity deposit each year so that you accumulate the required amount. Interest rate is 6%. How much do you have to deposit each year if (i) deposits are made at the end of each year (ii) deposits are made at the beginning of each year.
You want to buy a car for cash 5 years from now. The car price at...
You want to buy a car for cash 5 years from now. The car price at that time will be 20000 dollars. To this end you want to make an annuity deposit each year so that you accumulate the required amount. Interest rate is 6%.  How much do you have to deposit each year if (i) deposits are made at the end of each year (ii) deposits are made at the beginning of each year.
6. You are saving up to buy a car. If you deposit $125 a month, every...
6. You are saving up to buy a car. If you deposit $125 a month, every month, into a savings account earning 3% interest, compounded monthly, what is the balance after 2 years?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT