Question: Problem 1: (20 points) You open an IRA account on your 25th birthday. You deposit $2000 that year and $2000 every year after that (on

Problem 1: (20 points) You open an IRA account on your

Problem 1: (20 points) You open an IRA account on your 25th birthday. You deposit $2000 that year and $2000 every year after that (on your birthday) up to and including your 64th birthday. Assume that the IRA account pays 6% interest (tax free), compounded annually (a) Write a difference equation for the account value on your birthday every year. Let r[k] represent the amount deposited to the account during the k-th year and y represent the account value on your birthday. Let k = 0 represent your 25th birthday. (b) Calculate, by hand, the first 5 output values; i.e., the account value on your 25th - 29th birthdays (c) Determine a general pattern for the account value and use this to find a closed-form equation for y . From this equation, determine the account value on your 65th birthday when you withdraw the money (d) Use the filter command in MATLAB to calculate the first 50 output terms of this system. Obtain a stem plot of both the input and output signals. Verify that the MATLAB values agree with your hand-calculated values in (b). What does this second-order difference equation appear to do? Turn in a hard-copy of the plots as well as your MATLAB codes. Problem 1: (20 points) You open an IRA account on your 25th birthday. You deposit $2000 that year and $2000 every year after that (on your birthday) up to and including your 64th birthday. Assume that the IRA account pays 6% interest (tax free), compounded annually (a) Write a difference equation for the account value on your birthday every year. Let r[k] represent the amount deposited to the account during the k-th year and y represent the account value on your birthday. Let k = 0 represent your 25th birthday. (b) Calculate, by hand, the first 5 output values; i.e., the account value on your 25th - 29th birthdays (c) Determine a general pattern for the account value and use this to find a closed-form equation for y . From this equation, determine the account value on your 65th birthday when you withdraw the money (d) Use the filter command in MATLAB to calculate the first 50 output terms of this system. Obtain a stem plot of both the input and output signals. Verify that the MATLAB values agree with your hand-calculated values in (b). What does this second-order difference equation appear to do? Turn in a hard-copy of the plots as well as your MATLAB codes

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Accounting Questions!

In 1997, Peter Zaccagnino sold to investors historical bonds-issued by railroad and foreign governments-that he claimed were high-yield secu rities. In reality, the bonds had no value to anyone other...

Problem 1: (20 points) You open an IRA account on your 25th birthday. You deposit $2000 that year and $2000 every year after that (on your birthday) up to and including your 64th birthday. Assume...

Part A New Trade Ltd is foreseeing a growth rate of 15% per annum in the next three years. It is likely to fall to 12 per cent in the fourth year. After that, the growth rate is expected to stabilize...

Question 2: Part A New Trade Ltd is foreseeing a growth rate of 15% per annum in the next three years. It is likely to fall to 12 per cent in the fourth year. After that, the growth rate is expected...

You are currently 25 years of age. You have developed a lifetime budget that includes $50,000 at age 40 for a college fund for your kids and $25,000 per year for 20 years to supplement your...

You are currently 25 years of age. You have developed a lifetime budget that includes RM50,000 at age 40 for a college fund for your kids and RM25,000 per year for 20 years to supplement your...

You are currently 25 years of age. You have developed a lifetime budget that includes Rs500,000 at age 40 for a college fund for your kids and Rs250,000 per year for 20 years to supplement your...

can you show me how to do this on paper? You are currently 25 years of age. You have developed a lifetime budget that includes $50,000 at age 40 for a college fund for your kids and $25,000 per year...

You are currently 25 years of age. You have developed a lifetime budget that includes $50,000 at age 40 for a college fund for your kids and $25,000 per year for 20 years to supplement your...

D. Presented below is the Trial Balance and Adjusted Trial Balance for Morning Jacket Company on December 31. (7 POINTS) MORNING JACKET Trial Balance December 31 Before Adjustment After Adjustment...

Galaga Company is considering expanding their existing vegetable processing operations with a new plant in Abbeville, SC. The plant is expected to produce 8,472,000 pounds of processed vegetables...

Question 3 of 5 0 . 3 3 1 Current Ruempt in Frogress Presented below is information related to equipment owned by Tamarisk Company at December 3 1 , 2 0 2 5 . Cost Accumulated depreciation to date...

const digitCount 1 = countDigits ( num 1 ) ; const digitCount 2 = countDigits ( num 2 ) ; / / Check if the digit counts are equal if ( Object . keys ( digitCount 1 ) . length ! = = Object.keys (...