Find the amount to which semi-annual deposits of $200.00 will grow in four years at 6.6% p.a. compounded semi-annually. PMT = $ IY = CY = Please answer with steps. i = n = Amount = $
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- 1) 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.When an initial amount of P dollars is invested at r% annual interest compounded n times per year, the value of the account (4) after years is given by the equation nt A=P(1 + =)** n Write an equation that represents the value in an account that starts out with an initial investment of $5000 and pays 10% interest compound monthly. Then use that equation to fill the table and use the table to graph the equation. Years (1) Value (4) 0 5 10 15 20 oo → KIWhat amount of money invested today at 3.54% compounded monthly will have an accumulated value of $452,000 in 6 years from now. Round all answers to two decimal places if necessary. A P/Y = C/Y = N = I/Y = PMT = $ FV = $ PV = $
- Consider each of the following deposit cash flow series. What will the final balance be (future equivalent value) after the final deposit? Assume the account earns 9% interest compounded annually *Use excel*Complete the table to find the amount P that must be invested at rate r to obtain a balance of A = $300,000 in t years. (Round your answers to the nearest cent.) r = 7%, compounded daily t 1 10 20 30 40 50 P $ $ $ $ $ $Calculate the future value of the following single amounts. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use tables, Excel, or a financial calculator. Round your answers to 2 decimal places.) 1. 2 3. Initial Annual Investment Rate $ 7,200 5,200 8,200 8% 8% 8% Interest Compounded Annually Semiannually Quarterly Period Invested 9 years 6 years 3 years Future Value
- What will the deposited amount be at the end of 5 years if P15,000 is deposited in an account earning 4% per year compounded quarterly? Follow the format. 1. Given: 2. Formula: 3. Required: 4. Cash flow Sketch: 5. Solution:When $8,600 is invested in a savings account paying simple interest for the year, the interest, i in dollars, can obtained from the equation i=8,600r, where r is the rate of interest in decimal form. Graph i=8,600r, for r up to including a rate of 16%. If the rate is 7%, how much interest is earned? OA. $6,020 OB. $602 O C. $586 OD. $622 IThe equation, A = P(1 + 0.037t), represents the amount of money earned on a savings account with 3.7% annual simple interest. If the amount after 5 years is equal to $1,422, what is the amount of the principal investment? $1,200 $1,422 $274.25 $294.86
- How much time will be needed for $20,000 to grow to $24,635.11 if deposited at 6% compounded quarterly? The amount $20,000 will grow to $24,635.11 in 3.5 () year(s). (Do not round until the final answer. Then round to the nearest tenth as needed.) kt For calculating use the formula A =P 1+Please show in Excel Suppose that you deposit $200 at the end of each month into an account paying an expected annual rate of return of 3%, compounded monthly. How much money will you have in the account in 10 years? AnswerN I PV PMT FVWhat interest rate would be necessary for $6,550 investment to grow to $9,300 in an account compounded continuously for 5 years? Number % your & percentage rounded to be decimal place
