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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- For the following economic calculations, write the factors (multipliers) that should be used,in (i) using the parameter values, and in (ii) calculate the result by showing your computations. Write the results you find in the spaces left. (Use factors for your calculations.)EXAMPLE: If you deposit $ 100 to a bank account that earns 8% annual interest, how much money will you have in this account after five years?(i)(F/P, 8%, 5) (ii)146.93100 * (F/P, 8%, 5) = 100 * 1.4693 = 146.93 TLa. You plan to take a credit with $1500 installment size per year with an annual interest rate of 8% over six years from a bank. What is the amount of your current credit?(i) (ii)b. A bank is required to deposit money for four years with an interest rate 10%. The money deposited at the end of the first year is 6000 TL and the amount of money deposited in the next three years will be reduced by 500 TL every year. How much money will be in the bank at the end of the fourth year?(i) (ii)Find an exponential model for the account balance. (Let t be the time in months and B the savings balance in dollars. Round your parameters to three decimal places.) (e) Suppose that you made this investment on the occasion of the birth of your daughter. Your plan is to leave the money in the account until she starts college at age 17. How large a college fund will she have? (Round your answer to the nearest cent.)$ (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.) monthsI need help working this problem out. Figuring out what table to use, whether to use: compound value, present value, amount of annuity, present value of annuity, sinking fund value? Please explain in detail each step. Nina deposits $3400 into a savings account earning simple interest at 6.3% annually. She intends to leave the money in the bank for three years. How much money, including both principal and interest, can she withdraw at the end of this time?
- Samuel wants to make regular annual payments of size P dollars into an annuity that pays interest of an annual rate of 0.25 or 25%. He wants to have 1.5 times the invested amount in the account after 5 years. A) Determine the size, P of the required annual payment. B) Create a table and do a step by step calculation to verify your answer in part APLEASE, PERFORM THE EXERCISE IN EXCEL AND SHOW THE FORMULAS2.Alejandra Marrufo wants to know how much she should deposit today, so that in 10 years she will have the amount (VF) of 77,150.00, which she needs to make a pension payment for her domestic worker, a) if the account pays 8.125% interest compoundable semiannually; b) if the account pays 9.65% compoundable monthlSuppose 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 7%. The parents deposit $2000 on their daughter's first birthday and plan to increase the size of their deposits by 5% each year. Draw a timeline that details the amount that would be available for the daughter's college expenses on her 18th birthday, and identify the amount she would have for college.
- 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:Determine whether or not the following situation describes an annuity. If it is an annuity, determine whether the jackpot amount is the annuity's present value or future value. Also, determine whether it is an ordinary annuity or an annuity due.Sam won a lottery jackpot which will pay him $2250 every week for 20 years, starting immediately. Group of answer choices The situation describes a future value of an ordinary annuity. The situation describes a present value of an annuity due. The situation does NOT describe an annuity. The situation describes a future value of an annuity due. The situation describes a present value of an ordinary annuity.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?
- Consider the two savings plans below. Compare the balances in each plan after 6 years. Which person deposited more money in the plan? Which of the two investment strategies is better? Yolanda deposits $300 per month in an account with an APR of 4%, while Zach deposits $3600 at the end of each year in an account with an APR of 4%. The balane in Yolanda's savings place after 6 years was?? Roud to seven deciamal places as needed(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?Please answer using GUFSA method and please also use the formulas attached. 1. Mario would like to save P3,000 at the end of each month, for six months, in a fund that gives 9% interest compounded monthly: How much is the amount or future value of his savings after 6 months? 2. Gus purchased a laptop, and he would like to know the present value of his monthly payment of P3,000 when interest is 9% compounded monthly. How much is the present value of his payments at the end of 6 months? 3. Renato paid P200,000 as down payment for a car. The remaining amount is to be settled by paying P16,200 at the end of each month for 5 years. If interest is 10.5% compounded monthly what is the cash price of his car? 4. In order to save for her high school graduation, Mariglenn decided to save P200 at the end of each month. If the bank pays 0.250% compounded monthly how much will her money be at the end of 6 years? 5. The buyer of a car pays P169,000 cash and P12,000 every month for 5 years. If…