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### Section 1: Problem Statement - Finance 302

John Smith is 30 years old and graduated from CSUSM with a Business degree and an emphasis in Marketing. John is currently employed as a Marketing Manager at a well-known corporation. He has progressed well in his career, with the ultimate goal of becoming the company’s CEO. John’s current salary of $78,000 has increased at an average rate of 5% per year, with routine merit raises, and he expects it to keep increasing.

John’s firm, ABC Corporation, has a defined contribution plan (401k) in place. Employees are allowed to contribute up to 15% of their gross annual salary pre-tax. Unfortunately, John has not yet taken his professor’s advice to “Save, Start Young, and Pay Yourself First.” Instead, John has enjoyed his post-college, nice-salary life by leasing a new car, renting an apartment, and going out every weekend. Now that he has wedding plans on the horizon, John has come to the realization (with help from his fiancée, Jane Doe) that it’s time to start saving while he’s still relatively young!

John expects that the couple's two largest future expenses will be the cost of a wedding (short-term) and the down payment on a house (intermediate-term). The couple plans to spend $10,000 of their own money on the wedding in twelve months. They also hope to purchase a $400,000 house within 5 years. Jane’s parents have promised to match their 10% down payment on the house, but only if they manage to save it within 5 years. Finally, John would like to retire at age 60, since his own father died at age 59 and did not get to enjoy the fruits of his labor in retirement. Both future spouses agree that John will automate his savings by setting up monthly contributions to his wedding fund, house fund, and 401k accounts.

### Section 2: Questions

1. John Smith is finally ready to take advantage of his employer’s 401k plan towards his retirement goal of age 60. Assume that John contributes 10% of his current salary every year, with an 8% annual return compounded annually. How much would he have saved at age 60?

2.
a) How much money would John have to save every year to achieve an age 60 balance of one million dollars?
b) What percentage of his current salary is that annual savings amount?

3. John’s fiancée, Jane Doe, is adamant about getting married in the next year. She is insisting that John makes saving towards the $10,000 needed their top priority. John recalls that his professor said, “don’t invest in long-term investments with short-term money.” Therefore, he plans to keep the wedding account in the bank and buy short-term (under 1-year maturity) CDs. Assuming John stays continuously invested in CDs yielding a 2% annual yield for the duration of each monthly deposit from the beginning month (Month 0), how much will he have to contribute to the wedding fund every month for the next 12 months?

4. Jane acknowledges that saving for a home down payment is not as big of a priority. But both future spouses agree that they should start putting money away towards the goal of $40,000 within five years. John recalls that an intermediate-term savings plan should not take as much risk, so he will plan to earn 4% annually with a conservative strategy for their house fund. How much money will he have to save every month for the next 60 months to accumulate $40,000?

5. Planning on an early retirement at age 60, John will start withdrawing from his 401k every month. He plans to start with $1,000,000 in his 401k, with a life expectancy of 85 years. Assuming a rate of return on his account of 6% annually, how much can he withdraw every month for his retirement expenses? (HINT: use I/Y = 6%/12 = 0.5% monthly)

### Instructions

Your assignment should begin with a “Data” section, documenting all of the numerical assumptions provided in this assignment.

Your calculations will require the use of a financial calculator. Please provide your detailed calculations, step-by-step, including calculator functions, in order to receive maximum credit – or partial credit if the final answer is incorrect.

Answer :

Data: John's current pay is $78,000. Annual salary increase rate: 5% Maximum 401k contribution: 15% of pre-tax gross yearly salary Every year, John intends to pay 10% of his current earnings to his 401k.

Annual compounded return on 401k investments is expected to be 8%.

$10,000 wedding money target in 12 months

Short-term CD interest rate: 2%

Goal for house down payment: $40,000 in 5 years

Annual expected return on housing fund investments: 4%

At the age of 60, your 401k balance is $1,000,000.

85 years is the average life expectancy.

0.5% (6%/12) monthly rate of return on retirement investments

To figure out John's 401k balance at age 60, do the following:

Compute John's annual contribution to his 401k: $78,000 x 10% = $7,800

Employ the financial calculator's future value (FV) function:

N (number) = 30 (number of years until retirement)

I/Y = 8% (annual rate of return)

PMT = -$7,800 (negative because it’s a cash outflow)

PV = 0 (no initial balance)

FV = $?

FV = $1,057,323.95

Therefore, John would have saved approximately $1,057,323.95 at age 60.

a) To achieve an age 60 balance of one million dollars:

Use the present value (PV) function on the financial calculator:

N = 30 (number of years until retirement)

I/Y = 8% (annual rate of return)

PMT = -$? (negative because it’s a cash outflow)

PV = 0 (no initial balance)

FV = $1,000,000

PMT = -$9,308.79

Therefore, John would have to save approximately $9,308.79 every year to achieve an age 60 balance of one million dollars.

b) To find the percentage of his current salary that the annual savings amount represents: Divide the annual savings amount by John’s current salary: $9,308.79 / $78,000 = 0.1194

Multiply by 100 to get the percentage: 0.1194 x 100 = 11.94%

Therefore, the annual savings amount represents approximately 11.94% of John’s current salary.

To calculate how much John will have to contribute to the wedding fund every month for the next 12 months:

Use the present value (PV) function on the financial calculator:

N = 12 (number of monthly deposits)

I/Y = 2%/12 = 0.1667% (monthly rate of return)

PMT = -$? (negative because it’s a cash outflow)

PV = 0 (no initial balance)

FV = $10,000

PMT = -$821.47 As a result, John will have to contribute $821.47 to the wedding fund each month for the following 12 months.

To determine how much John must save each month for the next 60 months in order to acquire $40,000:

Employ the financial calculator's future value (FV) function:

N = 60 (number of months) (number of months)

I/Y = 4%/12 = 0.3333% (monthly interest rate)

PMT = -$? (negative since it represents a monetary outflow)

PV = 0 (no starting balance) (no initial balance)

FV = $40,000

PMT = -$603.94

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