1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
anzhelika [568]
3 years ago
8

At the end of this month, Les will start saving $200 a month for retirement through his company's retirement plan. His employer

will contribute an additional $.50 for every $1.00 that he saves. If he is employed by this firm for 30 more years and earns an average of 8.25% on his retirement savings, how much will he have in his retirement account 30 years from now?
a. $589,406.19 b. $401,005.25 c. $540,311.67 d. $470,465.70 e. $503,289.01
Business
1 answer:
aleksklad [387]3 years ago
7 0

Answer:

Amount per month (A) = $200 + $0.50 x $200 = $300

Interest rate (r) = 8.25% = 0.0825

Number of years (n) = 30 years

No of compounding periods in a year (m) = 12

Future value = ?

FV = A(1 + r/m)nm - 1)

               r/m

FV = $300(1 + 0.0825/12)30x12 - 1)

                       0.0825/12

FV = $300(1 + 0.006875)360 - 1)

                   0.006875

FV = $300(1.006875)360 - 1)

                 0.006875

FV = $300 x 1,568.218999

FV = $470,465.70

The correct answer is D

Explanation:

In this case, there is need to apply the formula for future value of an ordinary annuity on the ground that compounding is done monthly. In the formula, monthly deposit (A) is $300, number of years is 30 years and interest rate (r) is divided by 12 because compounding is done on monthly basis. The number of years is also multiplied by the number of times interest is compounded in a year.

You might be interested in
Bank A offers to lend you money at 10 percent compounded monthly, Bank B at 11 percent compounded quarterly, and Bank C at 12 pe
ahrayia [7]

Answer and Explanation:

The computation is given below:

For Bank A,

Effective annual rate is

= (1 + 0.10 ÷ 12)^12 - 1

= 10.47%

For Bank B,

Effective annual rate is

= (1 + 0.11 ÷ 4)^4 - 1

= 11.46%

And,

For Bank C,

Effective annual rate = 12%

Therefore, Bank A is best to borrow at lowest effective annual rate

8 0
3 years ago
Consider the following spot interest rates for maturities of one, two, three, and four years. r1 = 4.1% r2 = 4.5% r3 = 5.2% r4 =
Nuetrik [128]

Answer:

Consider the following calculations

Explanation:

According to this general formula

f1,k = [(1+rk+1)k+1/((1+r1)]1/k -1

f1,1 = [(1+ 4.9%)1+1/((1+4.4%)]1/1 -1 = 5.40%

f1,2 =  [(1+ 5.6%)2+1/((1+4.4%)]1/2 -1 = 6.21%

f1,3 =  [(1+ 6.4%)3+1/((1+4.4%)]1/3 -1 =7.08%

4 0
3 years ago
What were the main factors in both the North and South for the abandonment of Reconstruction?
OverLord2011 [107]
Social effects were bringing families back together, the Emancipation act, and churches and schools being available to former slaves. What were the main factors, in both the North and South, for the abandonment of Reconstruction?- Land, jobs, and establishing the Bureau were the main factors for both.
8 0
3 years ago
2. The European Union and the United States are trading partners. (a) If the current account balance is zero, will an increase i
nalin [4]

Answer: Deficit

Explanation:

The current account shows the difference between imports and exports as well as net income from outside.

If this balance is zero, it means that imports are equal to exports and income sent abroad equals income recovered from abroad.

If real income in the US was to increase, people would demand more goods and services including more imports. This will shift the current account to a deficit as the imports will surpass the exports.

3 0
3 years ago
How has Groupon effectively used personal selling, advertising, and public relations to market its products?
Rainbow [258]
Groupon effectively uses personal selling, advertising, and public relations to market its products and service by Maintaining a good relationship with the customers by providing easy usage on the application as the customers are convenience. Groupon will effectively use its marketing budget in this campaign to creatively reach consumers and achieve lasting brand loyalty
6 0
3 years ago
Other questions:
  • We are evaluating a project that costs $735,200, has an eight-year life, and has no salvage value. Assume that depreciation is s
    5·1 answer
  • A user has a credit card–sized card used to prove her identity with a pin. what is this card called?
    9·1 answer
  • If Joey purchased a $100,000 house with a 20 percent down payment and borrowed the rest on a 30-year mortgage at 5% interest, wh
    5·1 answer
  • Aaron questions whether there is consideration for his contract with Banquet Hall to exchange his musical performance of country
    9·1 answer
  • The flexible budget variance is the difference between the​ ________.
    13·1 answer
  • A company reported net income of $290,000. Beginning balances in Accounts Receivable and Accounts Payable were $18,000 and $21,0
    12·1 answer
  • The CEO from headquarters has just arrived. You make some opening comments and she replies, "I'm glad to be here. I look forward
    11·1 answer
  • 5. Michael told Greg to sell his collection of vintage heavy metal band t-shirts. He
    8·1 answer
  • The net income reported on the income statement for the current year was $212000. Depreciation recorded on plant assets was $355
    11·1 answer
  • a conflict of interest in research could result when a physician is paid as a consultant for a pharmaceutical company and also c
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!