1) Let y be the balance in an account if you deposit $5000 for x years at 4% APR compoundedmonthly. 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 Lecture16 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 ALLDECIMALS!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 foundin 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 theformula in d.

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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 f and 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:

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 f and 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:

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Suppose you deposit $1,016.00 into an account 4.00 years from today. Exactly 13.00 years from today the account is worth $1,741.00. What was the account's interest rate? Submit Answer format: Percentage Round to 3 decimal places (Example: 9.243%, % sign required. Will accept decimal format rounded to 5 decimal places (ex. 0.09243))
principal, r is interest rate, n is number of compounding periods per year, t is time, in years, and A is account balance. Use the compound-interest formula to find the account balance A, where P P compounded 1 $55,716 4-% Quarterly 85 The account balance is approximately $ (Simplify your answer. Type an integer or decimal rounded to two decimal places as needed.) esc 80 F2 F3 F4 F10 FII F12 @ 2# $ % & * 2 4 5 6 7 Q W E R Y P
Suppose you deposit D dollars at the beginning of each month into an account that pays a monthly rate of r as a decimal. Then, the balance B of the account after t months is given by B = D(1 + r) (1 + r)t − 1 r dollars. Suppose you deposit $160 at the beginning of each month into an account that pays a monthly rate of r = 0.005, which corresponds to an APR of 6%. How long does it take for the account balance to build to $2600? Report your answer to the nearest whole month. months
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 I
The principal P is borrowed at simple interest rate r for a period of time t. Find the loan's future value, A, or the total amount due at time t. P=$4000, r= 7.5%, t= 9 months The future value is $ (Simplify your answer. Type an integer or a decimal.)
A sum d is held on deposit for a year at a rate of interest of r. Interest is paid n times throughout the year and is calculated such that the 0 payment varies with the proportion of the year that has passed since the last paymnent. Which is the correct formula for the end of year balance, d ? 1 a. Ob. C. d. d₁=d_(1+n) d₁= (1+ r n n 1/n r d₁=d_ (1+ — )" n n d₁=d_ (1+ -) " n
Consider the problem below... Find the accumulated balance after 3 years when $6500 is deposited into an account that compounds monthly with an APR of 4% compounding monthly. Match the values given in the problem with the correct notation. Question 2 options: 1234 0.04 1234 3 1234 12 1234 6500 1. P 2. APR 3. n 4. Y
Exercise (1.77) You deposit an amount X into an account at time 0 and 2X into the same account at time 3. The account balance at time 5 is 5,000. If the account has earned a 4% annual effective rate, what is the value of X? Answer: 1,479.35
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…
From this partial advertisement: $86.83 per month for 60 months $3,700 used car cash price $50 down payment a. Calculate the amount financed. Amount financed Finance charge $ b. Calculate the finance charge. Note: Round your answer to the nearest cent. 3,650 Deferred payment price S 1,559 80 c. Calculate the deferred payment price, Note: Round your answer to the nearest cent. S 5.250.00
Compute the future values of the following annuities first assuming that payments are made on the last day of the period and then assuming payments are made on the first day of the period: (Do not round intermediate calculations. Round your answers to 2 decimal places. (e.g., 32.16)) Future Value (Payment Payment Years Interest Rate (Annual) made on last day of period) $ 243 15 12 % 5,755 10 11 75,684 7 13 168,532 11 4 Future Value (Payment made on first day of period)
If you deposit $150 in an account with an APR of 6% and continuous compounding, the balance after 2 years is O a. $150 x e0.12 O b. $250 x (1 + 0.06)² O c. $250 xe0.12 Od. $150 x e2

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