Question

In: Finance

Mr. S. P. Johnson is creating a college fund for his daughter. He plans to make...

Mr. S. P. Johnson is creating a college fund for his daughter. He plans to make 7-yearly payments of $10,000 each with the first payment deposited today on his daughter’s 6th birthday (happy birthday!) Assuming his daughter will need three equal withdrawals from this account to pay for her law-school education beginning when she is twenty-two (i.e. 22, 23, 24), how much will she have on a yearly basis for her law school career? Mr. Johnson expects to earn a constant 10% annual return for the time interval of this problem.

Solutions

Expert Solution

Particulars Amount
Annual payment $                         10,000
× FVAF for 7 payments                      10.435888
Future value by age 12 $                 104,358.88
× FVF until age 22                          2.59374
Future value by age 22 $                 270,680.06
× PMT factor for 3 years                          0.36556
Annual return $                   98,949.51

Answer is 98,949.51


Related Solutions

Mr. Johnson, much to his parents’ dismay, has decided to quit college and to become a...
Mr. Johnson, much to his parents’ dismay, has decided to quit college and to become a professional skateboarder. In order to bring attention to himself, Mr. Johnson decided to film himself performing a trick and then to submit it to a cable channel program featuring various ‘daredevils’. Mr. Johnson planned to ride a stair railing at the local strip mall. Unfortunately the trick failed and Mr. Johnson suffered fractures in his frontal bone as well as several facial bones making...
QUESTION ONE Mr. Kumi Johnson suspects that he has worm infestation in his gastrointestinal tract. He...
QUESTION ONE Mr. Kumi Johnson suspects that he has worm infestation in his gastrointestinal tract. He has reported to a nearby clinic for the necessary laboratory test to be done on him to enable him get some drugs to eliminate the worms in his digestive system. Dr. Osei prior to prescribing an anti-helminthic (de-wormer) for Mr. Kumi, understands that a stool sample needs to be taken to confirm the diagnosis of worm infestation. Use the information to answer the following...
Mr. Rashid plans to purchase the electronics itemsbased on his budget. So he needs a...
Mr. Rashid plans to purchase the electronics items based on his budget. So he needs a purchase planner which will help to calculate the price of electronics items, he can purchase based on the available amount. If Mr. Rashid enters his budget amount and chooses the numbers of electronic items from the list of available electronic items, the purchase planner will calculate the cost of electronics items based on the number of items selected, the total cost of all the...
Mr. Ambitious is celebrating his 30th birthday today. He plans to retire shortly after his 50th...
Mr. Ambitious is celebrating his 30th birthday today. He plans to retire shortly after his 50th birthday and estimates that he can live comfortably off a pension of $50,000 per year, paid annually for 40 years starting with his 51st birthday. He reckons that in order to achieve this, he only needs to invest $50,000 into his retirement fund every two years until he retires. The first investment will be made on his 32nd birthday and the last on his...
Mr. Morris had $100,000 in his account. Using this fund, he made a portfolio of two...
Mr. Morris had $100,000 in his account. Using this fund, he made a portfolio of two NYSE listed stocks – Johnson and Johnson (J&J) and IBM on 01 Jan 2019 in the ratio of 60:40, i.e. 60% funds in J&J & 40% funds in IBM. The daily stock data of both stocks can be found on market websites such as finance.yahoo.com. Download daily data for 1 year from 1 Jan 2019 – 1st Jan 2020. Using the stock data of...
Suppose you invest $15,000 in an S&P 500 Index fund (S&P fund) and $10,000 in a...
Suppose you invest $15,000 in an S&P 500 Index fund (S&P fund) and $10,000 in a total bond market fund (Bond fund). The expected returns of the S&P and Bond funds are 8% and 4%, respectively. The standard deviations of the S&P and Bond funds are 18% and 7% respectively. The correlation between the two funds is 0.40. The risk-free rate is 2%. What is the expected return on your portfolio? What is the standard deviation on your portfolio? What...
Warren plans to retire in 16 years. He will make 192 equal montly contributions to his...
Warren plans to retire in 16 years. He will make 192 equal montly contributions to his retirement account. One month after his last contribution, he will begin the first of 240 equal monthly withdrawals from the account. He expects to withdraw $2800 per month. How large must his monthly contributions be in order to accompish his goal if his account is assumed to earn interest at the APR of 6 %, compounded monthly througout the life of this problem? Round...
Kevin deposits $1220.33 each quarter into an annuity account for his child's college fund. He wishes...
Kevin deposits $1220.33 each quarter into an annuity account for his child's college fund. He wishes to accumulate a future value of $95,000 in 15 years. Assuming an APR of 3.4%, how much of the $95,000 will Kevin ultimately deposit in the account, and how much is interest earned? Round your answers to the nearest cent, if necessary. Deposit:_______ Interest Earned:_______
Time value of money A parent is setting up a trust fund for his daughter which...
Time value of money A parent is setting up a trust fund for his daughter which is expected to be worth GH¢200,000 in ten years when she is ready to marry. Given that the relevant discount rate is 12% per annum, what should be the onetime investment that this parent should make today to achieve his perceived target. Assume monthly compounding. The parent has the alternative of making ten annual contributions into the fund that will grow to GHS 200,000...
A father is now planing a savings program to put his daughter through college. She is...
A father is now planing a savings program to put his daughter through college. She is 13, plans to enroll at the university in five years, and should graduate four years later. The annual cost is expected to be $15,000 when the daughter starts college, and is expected to remain the same for the four years when the daughter is in college. The college requires the payment at the start of each year. The father will make five equal annual...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT