Question

In: Finance

You are contributing money to an investment account so that you can purchase a car in...

You are contributing money to an investment account so that you can purchase a car in five years. You plan to contribute six payments with $2,000 each year. The first payment will be made today (t = 0), and the final payment will be made five years from now (t = 5). If you earn 8% in your investment account, how much will you have in the account six years from now (t= 6)? Note: This is an annuity due problem.

$15,721.3

$15,845.6

$16,843.2

$17,786.3

Solutions

Expert Solution

Future value of annuity due=(1+rate)*Annuity[(1+rate)^time period-1]/rate

=1.08*2000*[(1.08)^6-1]/0.08

=2000*7.92280336

which is equal to

=$15845.6(Approx)


Related Solutions

Making Money, Inc. is considering the purchase of a new truck so it can make more...
Making Money, Inc. is considering the purchase of a new truck so it can make more money. The truck costs $120,000. Making Money, Inc. had been renting the truck every week for $500 per week plus $1.20 per mile. On average, the truck is traveling 75 miles per week. If Making Money, Inc. purchases the truck, it will only have to pay for diesel fuel and maintenance, at about $.50 per mile. Insurance costs for the new truck are $5,000...
You wish to buy a car worth $20,000. You have the money in your savings account....
You wish to buy a car worth $20,000. You have the money in your savings account. Should you go ahead and pay cash for the car (out of your savings account) or should you get a car loan from the dealer or from your bank to pay for the car? How do your expectations about interest rates have an impact on your decision? Please give an explanation.
When you make a large purchase (say, a house or a car) you typically borrow money...
When you make a large purchase (say, a house or a car) you typically borrow money from lenders (e.g. banks, mortgage brokers, credit unions, etc.) who frequently quote the interest you are going to pay in two ways. First, they quote an annual 'interest rate' - the number they widely advertise (but which is often inaccurate), and then a higher (sometimes, much higher) "APR"- which they don't advertise but HAVE to disclose in the fine print because of regulation. The...
When you make a large purchase (say, a house or a car) you typically borrow money...
When you make a large purchase (say, a house or a car) you typically borrow money from lenders (e.g. banks, mortgage brokers, credit unions, etc.) who frequently quote the interest you are going to pay in two ways. First, they quote an annual 'interest rate' - the number they widely advertise (but which is often inaccurate), and then a higher (sometimes, much higher) "APR"- which they don't advertise but HAVE to disclose in the fine print because of regulation. The...
Suppose you purchase a new car for $27,000. You do not have money in your bank...
Suppose you purchase a new car for $27,000. You do not have money in your bank today but since you have just graduated from UTSA and have a job with high five figure annual salary, you see no problems in taking a five-year loan from your dealer. After looking at your options, you agree to the following terms: 0% down payment with 6.75% APR (compounded monthly). The loan must be paid back in monthly payments over the five years. (Round...
After deciding to buy a new car, you can either lease the car or purchase it...
After deciding to buy a new car, you can either lease the car or purchase it on a two-year loan. The car you wish to buy costs $36,000. The dealer has a special leasing arrangement where you pay $101 today and $501 per month for the next two years. If you purchase the car, you will pay it off in monthly payments over the next two years at an APR of 5 percent. You believe you will be able to...
The car you wish to purchase, costs $12000 today. A bank has a deposit account for...
The car you wish to purchase, costs $12000 today. A bank has a deposit account for the purchase of automobiles with an interest of 12% anually. It is expected that the cost of the car will increase at a rate of 3% anually. a. Indicate the inflation rate b. Indicate what is the market rate c. Indicate what is the real interest rate d. Determine the cost of the car in 5 years e. Determine how much you will need...
7. After deciding to buy a new car, you can either lease the car or purchase...
7. After deciding to buy a new car, you can either lease the car or purchase it on a three-year loan. The car you wish to buy costs $44,000. The dealer has a special leasing arrangement where you pay $1,000 per month, at the beginning of each month, for the next three years. If you purchase the car, you will pay it off in monthly payments over the next three years at a 3.6% APR. You believe you will be...
You can invest your money in either investment ONE or investment TWO. You will invest for...
You can invest your money in either investment ONE or investment TWO. You will invest for 2 years. Investment ONE yields 6% he first year and 65% the second year. Investment TWO yields 65% the first year and 6% the second year. Interest is compounded the same for both investments. Also, interest is compounded the same for both years. Which investment leads to the higher return? a. investment ONE b. investment TWO c. the return on investment ONE = the...
Your grandparents put $12,000 into an account so that you would have spending money in college....
Your grandparents put $12,000 into an account so that you would have spending money in college. You put the money into an account that will earn 4.55 percent compounded monthly. If you expect that you will be in college for 4 years, how much can you withdraw each month?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT