1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Aleksandr [31]
2 years ago
15

You are a financial advisor helping a young family create a college fund to provide for their daughter Mary’s education. Mary ju

st turned 5. Her parents expect that she will go to Harvard University, starting school on her 18th birthday. She will only take four years to complete her degree. Currently, tuition and housing costs total $65,000 per year, which are paid at the beginning of each school year. These expenses are expected to increase at the rate of inflation which will run 4% annually for the next 25 years. In each year until Mary enters Harvard University, Mary’s parents will make a deposit into the college fund to exactly provide for all of the costs of her education when she enters college (the first deposit will be made one year from today). Since her parents expect their income to grow at the rate of 2% annually, they would like the amount that they put each year into the fund to increase in nominal terms at the rate of 2% annually. Mary’s parents can earn a rate of 10% annually on their investments and they face a 30% tax rate.
A. What do you expect tuition and housing to cost during Mary’s first year at Harvard University?
B. How much must be in the savings account on Mary’s 18th birthday after the last deposit has been made but before the first payment to Harvard University?
C. What should be the amount of the first payment?
D. Alternatively, Mary’s parents could open a 529 account that allows college savings to grow tax-free. If they saved in this account rather than in a normal investment fund, and still earned the same pre-tax return, how much should be their first deposit?
Business
1 answer:
stiv31 [10]2 years ago
7 0

Answer:

a. Tuition and housing costs today = $65,000 per year

Inflation rate = 4%

Tuition and housing costs in 13 years = 65,000 * (1 + 0.04)^13

Tuition and housing costs in 13 years = $108,229.78

b. Amount to be in the savings account can be calculated using the present value of a growing annuity due formula

After tax rate of return = 10 * (1 - 0.3) = 7%, Growth rate = 4%, Number of year = 4

PV = P x (1 + r) * [1 - (1 + g)^n * (1 + r)^-n] / (r - g)

PV = 108,229.78 * (1 + 0.07) * [1 - (1 + 0.04)^4 * (1 + 0.07)^-4] / (0.07 - 0.04)

PV = $415,050.16

c. Amount of the first payment can be calculated using FV of a growing annuity

FV = $415,050.16, Number of years = 13, Growth rate = 2%, Rate of return = 10%

FV = P * [(1 + r)^n - (1 + g)^n] / (r - g)

415,050.16 = P * [(1 + 0.07)^13 - (1 + 0.02)^13] / (0.07 - 0.02)

P = $18,591.47

d. If the investments are tax free, the rate of return = 10%

Amount to be in the savings account = PV = P * (1 + r) * [1 - (1 + g)^n * (1 + r)^-n] / (r - g)

= 108,229.78 * (1 + 0.1) * [1 - (1 + 0.04)^4 * (1 + 0.1)^-4] / (0.1 - 0.04)

= $398,768.92

FV = P * [(1 + r)^n - (1 + g)^n] / (r - g)

398,768.92 = P * [(1 + 0.1)^13 - (1 + 0.02)^13] / (0.1 - 0.02)

P = $14,778.36

You might be interested in
Having just one typo on your resume can eliminate you from a job pool
scoundrel [369]
Not necessarily, but the chances of you getting the position are seriously impeded, even for small mistakes.
4 0
3 years ago
Read 2 more answers
On December 31 of the current year, the unadjusted trial balance of a company using the percent of receivables method to estimat
Ymorist [56]

Answer: $4,811

Explanation:

Assuming 6% of outstanding accounts receivable at the end of the current year are estimated to be uncollectible that would be,

= 6% * 98,700

= $5,922

The Allowance for Doubtful Accounts acts as a buffer for the business when bad debts are incurred.

Bad debts are taken from the Allowance as the Allowance has already been removed from the Receivables.

In cases where Bad debts exceed the buffer in the Allowance for Doubtful Debt Account we take everything in it and the remaining bad debt amount is debited to Bad Debt expense.

That would be,

= 5,922 - 1,111

= $4,811

$4,811 is the amount that should be debited to Bad Debts Expense.

3 0
3 years ago
What is the diffrence between actual and proposed selling price
Orlov [11]

Actual means the real selling price for the product paid by the customer whereas proposed selling price is the price which was suggested to be set for the product.

4 0
3 years ago
The market for chewing gum is in equilibrium with a current price of 50 cents per pack and a quantity of 100,000 packs per day.
frez [133]

Answer:

A) an increase in the price of other kinds of candy

Explanation:

If the price of substitute products (other types of candy) increases, then the suppliers of chewing gum can increase their price without the quantity demanded decreasing. If the decrease in the price of chewing gum is smaller than the increase in the price of substitute products, the quantity demanded will increase.

If there was a price increase of the main ingredients used to produce chewing gum, then the supply curve would shift to the left (option B is wrong).

If the workers signed an agreement that lowered their wages, then the supply curve would shift to the right (option C is wrong).

A decrease in the number of young people in the market would decrease the quantity demanded for chewing gum, which in turn would decrease the equilibrium price (option D is wrong).

A decrease in income would also decrease the quantity demanded, which would in turn decrease the equilibrium price (option E is wrong).

5 0
3 years ago
How many days after missing a student loan payment do your loans go into default?.
Anna35 [415]

Answer:270 day past due

Explanation:

4 0
1 year ago
Other questions:
  • Connie stepped in to assist her friend Fred to conduct his research plan for his business. He is trying to see where he should o
    14·1 answer
  • At the end of 2001, Lehnhoff Inc. had $75 million in cash on its balance sheet. During 2002, the following events occurred: The
    6·1 answer
  • Outline the roles of double-stranded RNA (dsRNA) in eukaryotic gene regulation. Select all that apply. (A) dsRNA can inhibit gen
    7·1 answer
  • Sekelow Enterprises is a debt collection agency. It uses postcards to contact consumer debtors it is attempting to collect from
    13·1 answer
  • This problem has been solved!
    12·1 answer
  • A Not-for-Profit Organization
    15·1 answer
  • If product costs are misclassified as selling costs, the average cost per unit will be understated.a. Trueb. False
    6·1 answer
  • Wall Drugs offered an incentive stock option plan to its employees. On January 1, 2021, options were granted for 75,000 $1 par c
    15·1 answer
  • What are measurements that evaluate results to determine whether a project is meeting its goals?.
    9·1 answer
  • When microwaves were new, they typically cost over $300, were bulky and required extensive counter space, and had limited styles
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!