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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What would be the annual percentage yield for a savings account that earned $54 in interest on $750 over the past 365 days? (Enter your answer as a percent rounded to 1 decimal place.)
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Determine the interest rate earned on a $1,400 deposit when $1,800 is paid back in one year. (Round your answer to 2 decimal places.)
Wise indicated, answers should be given to at least 6 decimals. Problem #1: A loan is amortized over 9 years, with monthly payments at a nominal rate of 9% compounded monthly. The first payment is $1000, paid one month from the date of the loan. Each succeeding monthly payment will be 4% lower than the prior one. What is the outstanding balance immediately after the 30th payment is made? Problem #1: 992.56 Answer correct to 2 decimals.
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