Question

Assume that, starting next year, you will make deposits of $210 each year into a savings...

Assume that, starting next year, you will make deposits of $210 each year into a savings account. You will make a total of 5 annual deposits. If the savings account interest rate is 9%, what is the present value of this savings plan? Enter your answer in dollars, rounded to the nearest cent (2 decimals).

Homework Answers

Answer #1

Present value of the savings plan

The Present Value of an Ordinary Annuity is calculated by using the following formula

Present Value of an Ordinary Annuity = P x [{1 - (1 / (1 + r) n} / r]

Annual Payment (P) = $210 per year

Annual Interest Rate (r) = 9% per year

Number of years (n) = 5 Years

Therefore, the Present Value of an Ordinary Annuity = P x [{1 - (1 / (1 + r) n} / r]

= $210 x [{1 - (1 / (1 + 0.09)5} / 0.09]

= $210 x [{1 - (1 / 1.538624)} / 0.09]

= $210 x [(1 – 0.649932) / 0.09]

= $210 x [0.350069 / 0.09]

= $210 x 3.889651

= $816.83

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A) Assume that, starting next year, you make annual deposits of $ 950 into a savings...
A) Assume that, starting next year, you make annual deposits of $ 950 into a savings account that pays 6% interest. How much will you have in your account after 11 years? B) You made an investment over the past year, and your nominal return was 7.3%. Over the same year, the rate of inflation was 3.9%. What was the real rate of return for this investment? C) Assume that, starting next year, you will make deposits of $572 each...
Starting at the end of this year, you plan to make annual deposits of $5,000 for...
Starting at the end of this year, you plan to make annual deposits of $5,000 for the next 10 years followed by deposits of $13,000 for the following 10 years. The deposits earn interest of 4.6%. What will the account balance be by the end of 33 years? Round to the nearest cent.
1. You opened a savings yesterday by depositing $10,000. You then continued to make deposits of...
1. You opened a savings yesterday by depositing $10,000. You then continued to make deposits of $4,000 a year. You plan on taking a vacation once the account reaches a balance of $100,000. How many deposits will you need to make if the account is expected to earn 4% per year? (HARD) 2.You opened a savings yesterday by depositing $10,000. You would like to be able to withdraw $2,000 per year for each of the next 4 years of college...
Starting next year you plan to deposit $1000 each year into an account earning 9.25% effective...
Starting next year you plan to deposit $1000 each year into an account earning 9.25% effective annual return. How many years will it take for your account to grow to $20,000, if you increase your deposit each year by 5%? (Hint: use excel goal seek). Enter answer in years, rounded to the nearest first decimal, as in "4.6" years
Starting next year you plan to deposit $1000 each year into an account earning 9.25% effective...
Starting next year you plan to deposit $1000 each year into an account earning 9.25% effective annual return. How many years will it take for your account to grow to $20,000, if you increase your deposit each year by 5%? (Hint: use excel goal seek). Enter answer in years, rounded to the nearest first decimal, as in "4.6" years
Question 1 "Consider the following deposits made into a savings account that earns a constant interest...
Question 1 "Consider the following deposits made into a savings account that earns a constant interest compounded annually. 'An' represents the actual deposits made at the end of year n. 'Pn' represents the present value of the deposit in year n. The present value 'Pn' of $790 in year 2 is $707.40. Assuming there are only 4 deposits made, calculate the total amount in the savings account at the end of year 4. 'An' in $ (Years 0 through 4):...
Suppose that you decide to make annual deposits into your savings account for a long-term goal...
Suppose that you decide to make annual deposits into your savings account for a long-term goal of big purchases after getting a job, with the first deposit being made on year 2023 and the last deposit being made on year 2032. Then, starting on year 2035, the withdrawals start with \$2,800 and increment by \$600 until the end of year 2038. If the effective annual interest rate is 5\% during this period of time, what are the annual deposits in...
(1) A couple have a 3-year-old child; they decided to make annual deposits into a savings...
(1) A couple have a 3-year-old child; they decided to make annual deposits into a savings account to fund his 4-year university education. With the first deposit being made on his fourth birthday and the last deposit being made on his 15th birthday. Then, starting on his 18th birthday, 4 withdrawals are required, starting at $4000 and increasing at a rate of 11%. If the effective annual interest rate is 25% during the whole period of time, what are the...
All are apart of a three-piece problem 7. A) It is now the beginning of the...
All are apart of a three-piece problem 7. A) It is now the beginning of the year. Assume that, starting at the end of the year, you will make deposits of $204 each year into a savings account. You will make a total of 4 annual deposits. If the savings account interest rate is 8%, how much money will you have at the end of year 4? (In other words, what is the future value of this annuity?) B) Assume...
You currently have $1000 in your savings account. The APR on your savings account is 9%,...
You currently have $1000 in your savings account. The APR on your savings account is 9%, and the interest is compounded monthly. If the annual inflation rate is 6%, how much your current savings will become in real terms (i.e., in today's dollars) one year from now? Round your answer to the nearest cent; do not use the $ sign (i.e., if the result is $1,234.5678, enter it as 1,234.57).