In the case that the result is decimal, you will round it to two decimal places. 4. New grandparents decide to invest $ 200 a month in an annuity for their grandchild. The account will pay 5% interest per year, which is compounded monthly. How much will be in the child's account when he turns 21?
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In the following exercises and problems you will be able to:
• model investment and
• explain the difference between sequences and series;
• solve exercises applying concepts of the sum of sets of terms of a sequence, and
• solve problems related to
In the case that the result is decimal, you will round it to two decimal places.
4. New grandparents decide to invest $ 200 a month in an annuity for their grandchild. The account will pay 5% interest per year, which is compounded monthly. How much will be in the child's account when he turns 21?
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- In the following exercises and problems you will be able to:• model investment and annuity problems;• explain the difference between sequences and series;• solve exercises applying concepts of the sum of sets of terms of a sequence, and• solve problems related to annuities using sequences or seriesIn the case that the result is decimal, you will round it to two decimal places. 3. The new parents decide to invest $ 100 a month in an annuity for their young daughter. The account will pay 5% interest per year, which is compounded monthly. How much will be in the child's account when he turns eighteen?In the following exercises and problems you will be able to:• model investment and annuity problems;• explain the difference between sequences and series;• solve exercises applying concepts of the sum of sets of terms of a sequence, and• solve problems related to annuities using sequences or seriesIn the case that the result is decimal, you will round it to two decimal places. 5. Arturo just got his first full-time job after graduating from college at age 27. He decided to invest $ 200 a month in an IRA (an annuity). The interest on the annuity is 8%, which is compounded monthly. How much will be in Arturo's account when he retires at sixty-seven?Compute the value for each of the following independent situations. Note: Use Excel or a financial calculator. Round your answers to 2 decimal places. 1. To save for their new child's college education, a couple places $28,400 in an account. What amount will accumulate in the account at the end of 18 years, assuming an interest rate of 7.25% compounded annually? 2. An individual has just inherited a piece of land. The individual plans to hold the land for three years and then expects the land to sell for $208,500. What is the value today of inheriting the land, assuming an interest rate of 8.5% compounded annually? 3. To save money for the down payment on a house, an individual places $6,700 in an account at the end of each quarter. What amount will accumulate in the account at the end of four years, assuming an interest rate of 9.75% compounded quarterly? 4. To purchase a car, an individual agrees to pay $1,140 at the end of each month for the next six years. What is the cost of the…
- A couple wants to begin saving money for their daughter's education. $16,000 will be needed on the child’s 18th birthday, $18,000 on the 19th birthday, $20,000 on the 20th birthday, and $22,000 on the 21st birthday. Assume 5% interest with annual compounding. The couple is considering two methods of accumulating the money. a. How much money would have to be deposited into the account on the child's first birthday to accumulate enough money to cover the education expenses? (Note: A child’s “first birthday” is celebrated 1 year after the child is born.) b. What uniform annual amount would the couple have to deposit each year on the child’s first through seventeenth birthdays to accumulate enough money to cover the education expenses?Find an exponential model for the account balance. (Let t be the time in months and B the savings balance in dollars. Round your parameters to three decimal places.) (e) Suppose that you made this investment on the occasion of the birth of your daughter. Your plan is to leave the money in the account until she starts college at age 17. How large a college fund will she have? (Round your answer to the nearest cent.)$ (f) How long does it take your money to double in value? (Round your answer to two decimal places.) monthsHow much longer does it take it to double in value again? (Round your answer to two decimal places.) months(Solving for r with annuities) Nicki Johnson, a sophomore mechanical engineering student, receives a call from an insurance agent, who believes that Nicki is an older woman ready to retire from teaching. He talks to her about several annuities that she could buy that would guarantee her an annual fixed income. The annuities are as follows in the popup window: LOADING... . If Nicki could earn 11 percent on her money by placing it in a savings account, should she place it instead in any of the annuities? Which ones, if any? Why? a. What rate of return could Nicki earn on her money if she place it in annuity A with $7,000 payment per year and 10 years duration? nothing% (Round to two decimal places.) Help Me Solve ThisView an Example Get More Help Clear All Check Answer Data Table ANNUITY INITIAL PAYMENT INTO ANNUITY (AT t = 0) AMOUNT OF MONEY RECEIVED PER YEAR DURATION OF ANNUITY (YEARS) A $40,000…
- For TVM calculator: Write each known variable’s value as it appears in the calculator and use a question mark for the missing variable. Then, in the space provided write the missing variable’s value, as it appears in the calculator. Finally, write your final answer in context, with units, as a complete sentence. Herman is looking to invest $5,000 in an account that earns 3.7% annual interest compounded semi-annually. If Herman plans to regularly deposit semi-annual payments of $1,575 into the account, how much is the account worth after 30 years? N=60 I= 3.7 PV=5000 PMT= 1575 FV= ? P/Y=2 C/Y=2 Missing Variable Value __________________ Context Sentence:Specific Instructions: Solve each problem NEATLY and SYSTEMATICALLY. Show your COMPLETE solutions, INDICATE the given, and BOx your final answers. Express all your answers in 2 decimal places. 1. The value of perpetuity per year is Php 10 000 and the annuity is Php 5 000. What is the Rate of Interest?Suppose that a young couple has just had their first baby and they wish to insure that enough money will be available to pay for their child's college education. They decide to make deposits into an educational savings account on each of their daughter's birthdays, starting with her first birthday. Assume that the educational savings account will return a constant 4% per year. The parents deposit $ 10,000 on their daughter's first birthday and plan to increase the size of their deposits by 2% each year. Assuming that the parents have already made the deposit for their daughter's 18th birthday, then the amount available for the daughter's college expenses on her 18th birthday is closest to: $1,012,908 $ 147,489 $500,000 $298,785
- Explain to a friend or relative how you would use the TVM concept to achieve their desired retirement amount. How much would they need to retire? How would you develop a savings plan using that number? Use Excel to calculate and explain the numbers when posting to the forum. Include the interest rate and investment. Starting amount is 45,000 at age 30 with the retirement age of 67(Solving for r with annuities) Nicki Johnson, a sophomore mechanical engineering student, receives a call from an insurance agent, who believes that Nicki is an older woman ready to retire from teaching. He talks to her about several annuities that she could buy that would guarantee her an annual fixed income. The annuities are as follows If Nicki could earn 11 percent on her money by placing it in a savings account, should she place it instead in any of the annuities? Which ones, if any? Why? a. What rate of return could Nicki earn on her money if she place it in annuity A with $6500 payment per year and 16 years duration?Suppose that a young couple has just had their first baby and they wish to ensure that enough money will be available to pay for their child's college education. They decide to make deposits into an educational savings account on each of their daughter's birthdays, starting with her first birthday. Assume that the educational savings account will return a constant 7%. The parents deposit $2000 on their daughter's first birthday and plan to increase the size of their deposits by 5% each year. Assuming that the parents have already made the deposit for their daughter's 18th birthday, then what is the amount available for the daughter's college expenses on her 18th birthday?