Sean will need $5,500 to go on holidays in 5 years' time. He decides to deposit...

Sean will need $5,500 to go on holidays in 5 years' time. He decides to deposit $1,000 into a savings account at the end of every year for the next 5 years. This savings account pays 7.5% p.a. interest compounded annually. Will Sean have enough money to go on holidays?

Solutions

Expert Solution

Future value of anuity = P * [(1+R)^N -1]/R

Where, P = Payment

R = Rate of interest per period

N = Number of periods

So, Future value of annuity

= 1000 * [(1+7.5%)^5-1]/7.5%

= 1000 * [(1.075)^5 -1]/0.075

= 1000 * (1.43562932617 -1)/0.075

= 1000 * 5.8083910156

Future value of annuity = 5808.839
The Future value of deposits is higher than Vacation cost, so, yes, he will able to go to vacations.

jeff jeffy answered 2 years ago

Next > < Previous

Related Solutions

Sean has to go to a hospital for an inpatient procedure. If he goes to St....

Sean has to go to a hospital for an inpatient procedure. If he goes to St. Bob’s Hospital he will pay a lower copayment than if he goes to St. Theresa’s Hospital. By varying the cost-sharing responsibility Sean will have to pay, the health plan is driving him to a preferred provider (in this case St. Bob’s Hospital). This is an example of? Geo-access mapping Hospital tiering Hospital consolidation All answers are correct Which of the following regulates health insurance...

Peter intends to retire in 25 years time. he decides to save 500 at the start...

Peter intends to retire in 25 years time. he decides to save 500 at the start of each month until he retires. The pension fund is offering him a rate of 5.2% AER. (A) (i) Find the rate of interest compounded monthly that would be equivalent to an AER of 5.2%, correct to 6 significant figures. (ii) What lump sum will peter receive on his retirement? (B) Peter uses his retirement fund to purchase an annuity at 4.2% AER. This...

a) Kenny wishes to buy a house for $3,500,000 in 10 years and decides to deposit...

a) Kenny wishes to buy a house for $3,500,000 in 10 years and decides to deposit a fixed amount in an investment account at the end of each year of the coming 10 years. Assume that his investment account earns an average yearly return of 16% over the next 10 years. How much should he deposit every year so that he will have enough money in his investment account to purchase the house at the end of 10 years? b)...

A 80kg T-Rex decides to go skiing. He starts at the base of the mountain and...

A 80kg T-Rex decides to go skiing. He starts at the base of the mountain and rides the ski lift up to the top of the mountain at 600m above the base. The ski lift ride takes 4 minutes. a. What is the power of the process used to lift him up the mountain? b. If he starts at the top of the mountain and skis all the way down, how fast would he be moving at the base of...

Lisa Richter made a one time deposit of $5,000 at 4% compounded semiannually for 5 years....

Lisa Richter made a one time deposit of $5,000 at 4% compounded semiannually for 5 years. What would her balance be at the end of five years assuming she is still earning 4% compounded semiannually?

Doug wants to go on vacation to Disneyland with his family every 5 years. He figures...

Doug wants to go on vacation to Disneyland with his family every 5 years. He figures that travel costs today are $3,000 for all expenses associated with the trip, and he expects these costs to increase with inflation. Assume inflation is 2%, compound quarterly. He wants to take his family on their next Disneyland trip in exactly 5 years, and he wants to do these trips for the next 50 years. If he can earn 6.6% APR, compounded monthly, on...

If Amazon Go decides to expand globally and even dominate a domestic market, would they need...

If Amazon Go decides to expand globally and even dominate a domestic market, would they need to acquire information through direct perception? Why or why not? Take into consideration both the Xbox and TOMs examples in the text.

1) Eddie, an overweight 40-year-old, decides it’s time for his first physical in ten years. He...

1) Eddie, an overweight 40-year-old, decides it’s time for his first physical in ten years. He has no history of heart issues, but his father died of a myocardial infarction at age 41 and his mother is diabetic. What tests would the MD order to get a read on his heart? The doctor would also tell him to take a daily over the counter anticoagulant. What should he buy at the drug store? 2) Explain why mature red blood cells...

He decides go through with making his experiment a repeated-measures design. Each of the 20 subjects...

He decides go through with making his experiment a repeated-measures design. Each of the 20 subjects take part in both conditions, and he finds a mean of the difference scores is 12 (MD = 12) with a standard deviation of the difference scores of 8 (SD = 8). Please find the t-critical and the test statistic (assuming alpha = .052 tail). Then describe what the found. tcrit = t-statistic = Conclusion: Finally, he wants to know the magnitude of the effect...

The factory manager estimates that P2,500,000 will be needed in 73/2 years. He decides

The factory manager estimates that P2,500,000 will be needed in 73/2 years. He decides that the factory should anvest a sum every 6 months in a fund. Interest is earned at 6% converted semi-annually.a. How much is the semiannual investment?b. How much will be in the fund after the 12th deposit?c. How much interest is earned on the 6th deposit date?d. How mach will the fund increase be on the 11th deposit date?e. Construct the first 4 lines of the...

Subjects