lo find out the balance in your account just after you make deposit whereby you will deposit $400 at the end of each the next 5 years at a nominal rate of 12% p.a. compoundec annually, you can also apply which of the following formula the accumulated amount manually:
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![To find out the balance in your account just after you make your last
deposit whereby you will deposit $400 at the end of each 6 months for
the next 5 years at a nominal rate of 12% p.a. compounded semi-
annually, you can also apply which of the following formula to solve for
the accumulated amount manually:
Select one:
O a. FV= PV(1+i)"
FV = PV(1+i)"
O b. PVn = PMT[1-(1+ i)*"] /i
1-(1+1)
PV = PMT|
FVn = PMT[(1+ i)" -1] / i
(1+i)"-1
FV = PMT
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- For each of the following situations involving annuities, solve for the unknown Assume that interest is compounded annually and that all annuity amounts are received at the end of each period. (=interest rate, and n number of years) Note: Use tables, Excel, or a financial calculator. Round your final answers to nearest whole dollar amount. (FV of $1. PV of $1. EVA of $1. PVA of $1, EVAD of $1 and PVAD of $1) 1 2 3. 4. 5 Present Value 368,041 714,457 600,000 200,000 Annuity Amount $ 4,000 105,000 110.000 96,048 8% 10% 10% n= 5 4 9 41) Let y be the balance in an account if you deposit $5000 for x years at 4% APR compounded monthly. USE ALL DECIMALS except in e and fand h! a) Write the formula for y = f(x) b) Then rewrite the formula as an annual compounding (APY) formula as shown in the Lecture 16 notes. y = (rewritten). c) The APY (clear from part b) is: d) Then use the 2âd version of y to write y ' - e) How much is the investment worth after 7 years? f) How fast is the investment growing after 7 years? g) What is the percentage rate of growth (PROC) after 7 years as a percent? USE ALL DECIMALS! h) Write a sentence translating into English your answer for f' (7) : i) Show the second way to find the derivative of your formula in a) using the chain rule (as found in the chain rule lecture): j) Find y'(7) from your answer in j and confirm it is the same (at least to 7 decimals) as using the formula in d.a. Use the appropriate formula to determine the periodic deposit. b. How much of the financial goal comes from deposits and how much comes from interest? Periodic Deposit Rate Time Financial Goal $? at the end of each month 6.25% compounded monthly 45 years $1,000,000 a.The periodic deposit is $______. (Do not round until the final answer. Then round up to the nearest dollar asneeded.)
- | (a) Find the amount of an original one-time deposit to make into an account that pays 1.2% APR compounded monthly, in order to have a balance in the account after 20 years of $4,000. Show the work and steps being sure to have two sides of any formula or equation from start to finish. End with an equation stating your exact answer. Then, skip two lines. (b) Interpret your answer from (a) to write a short direct sentence equivalent. Then, skip three or four blank lines as space before the next problem.Assume you deposit $5,700 at the end of each year into an account paying 11. interest. a. How much money will you have in the account in 19 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g b. How much will you have if you make deposits for 38 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g а. Future value $ 324,555.08 b. Future value $ 2,462,818.38You plan to deposit into your bank account $100 two years from now, $200 three years from now and then to withdraw your full balance at the end of year 4. If you can earn 2% per year, how much would have in your account by the end of year 4? O A. $308 O B. $318 Oc. $310 O D. $312
- Suppose you deposit $1,751.00 into an account today that earns 5.00%. It will take ___ years for the account to be worth $2,806.00. Answer format: Number: Round to: 2 decimal places.If you were to use the TVM Solver to determine how much money would be in an account (that earns 1.2% interest compounded monthly) after 32 years when $175 was deposited into the account at the end of each month, then you would enter N = 1% = PV = PMT = FV = and P/Y = C/Y = Which of the variables above did you solve for (N, 1%, PV, PMT, or FV)?a. Use the appropriate formula to determine the periodic deposit. b. How much of the financial goal comes from deposits and how much comes from interest? Periodic Deposit Rate Time Financial Goal $? at the end of each year 3% compounded annually 18 years $140,000 a.The periodic deposit is $_______. (Do not round until the final answer. Then round up to the nearest dollar asneeded.)
- Every year you deposit $3,500 into an account that earns 19% interest per year, What will be the balance of your account immediately after the 40th deposit? Click the icon to view the interest and annuity table for discrete compounding when / 1% per year. Choose the correct answer below. O A. $165,837 O B. $123,795 OC. $171,102 OD. $172,813 OE. $140,000You decide to invest $7,500 into an account that pays 1.1% annual compound interest. Write an equation for the balance of the account (B) after t years.please solve all part i need answers all Q3): Fill in the entire chart for the below annuities by filling in all the blanks. # Payment and frequency (PMT) Time in years (n) Interest rate and compound frequency (I/Y) Present Value (PV) Future Value (FV) a. $5,682.04 per quarter (end) 5 years 5% compounded quarterly ______________ Not Applicable b. $241.63 per month (end) 69 payments 6 ¼ % compounded monthly Not Applicable _______________ c. $____________ per quarter 7 years and 3 months 3 % compounded semi-annually $7,795.89 Not Applicable d. $445.30 per month __________years 7.45 % compounded quarterly Not Applicable $24,788.40 e. $2,000 beginningof every six months 12 ½ years _______compounded quarterly $37,708.30 Not Applicable f. $2,789.58 beginning of every 3 months 60 months 2.75% compounded quarterly Not Applicable…
