Question

In: Finance

CompU has become a success over the past few years, and Bill and Melinda Jobs decide...

CompU has become a success over the past few years, and Bill and Melinda Jobs decide it is time to meet with a financial planner to make certain his personal finances are in order. Bill has the following questions he needs help in answering regarding his current and future financial goals.

If they deposit $1,000 today in a savings account earning 4% compounded annually, how much will they have in 10 years?

If they have an opportunity cost of 10%, how much should they be willing to invest now to have $8,000 accumulated in 10 years?

Bill’s mother passed away and left them $32,976. They plan to put the entire amount into an account earning 8% compounded annually and to withdraw an equal amount at the end of each year for 14 years. How much will they be able to withdraw each year?

Bill originally borrowed $50,000 to begin CompU from a local bank. He is required to pay $10,955.89 per year for seven years. What is the annual interest rate on the loan?

Bill and Melinda are interested in buying a vacation house and want to save $8,048.45 for a down payment. If they deposit $500 per month in a savings account which pays 1% per month, how many months will it take them to save the $8,048.45?

Bill just purchased a new car; the selling price was $26,000 and he put $1,000 down. He took out a 4 year loan at an annual interest rate of 8%. What will be his monthly payments on the loan?

Bill is thinking about taking out a home equity loan of $10,000 with an interest rate of 12%. If he agrees to pay off the loan with a lump sum of in 5 years, how much will the payoff be?

Bill has $20,000 in an account that pays 5%. He plans to withdraw $12,500 in five years to send his son Bill Jr. to college. His daughter Linda will start college in eight years. How much will be in the account at that time?

A retirement plan guarantees to pay them a fixed amount for 20 years. At the time of retirement they will have $31,360 to their credit in the plan. The plan anticipates earning 8% interest annually over the period they receive benefits. How much will their annual benefits be assuming the first payment occurs 1 year from their retirement date?

How much money must they pay into an account at the beginning of each of the next 20 years in order to have $10,000 at the end of the 20^th year? Assume that the account pays 10% per annum.

If their opportunity cost is 10%, how much should they pay for an investment promising $750 per year for the first four years and $450 for the next six?

Consider an investment that has cash flows of $500 the first year and $400 for the next 4 years. If their opportunity cost is 10%, how much should they pay for the investment?

If their required return is 12%, how much should they pay for a bond that pays $100 per year forever?

What will his $2,000 money market account be worth in 4.5 years if the account pays 6% interest compounded quarterly?

If they deposit $2,000 in a bank account that pays 6% interest, how many periods will it take for the deposit to grow to $3,720.59 if the interest is compounded semi-annually?

If they deposit $2,000 in a bank account that pays 12% interest annually and if the interest is compounded continuously, how much money will be in the account at the end of 20 years?

CompU’s earnings per share grew constantly from $2.00 in 2010 to $2.52 in 2013. What was the compound annual growth rate in earnings per share over the period?

If they pay $100 into an account at the beginning of each of the next 40 years (the account pays 12%), how much will be in the account at the end of year forty?

At the beginning of the 41^st year they plan to put the money from the previous question in a 30 year annuity whose first payment comes at the end of the 41^st year (the account pays 12%). How much will they receive at the end of the 41^st year (i.e. the first annuity payment)?

Assume it is January 1^st and Bill has just established an IRA (Individual Retirement Account). He will put $1,000 into the account on December 31^st of this year and at the end of each year for the following 39 years (40 years total). How much money will Bill have in his account at the beginning of the 41^st year? Assume that the account pays 10% interest compounded annually.

Expert Solution


1)
Opening Balance	1,000.00
Rate ,r yearly	4.00%
Time in Years	10.00
Year	Opening Balance	Interest(Opening bal*Intt rate)	Closing Balance(Op bal + Intt + Invt)
1.000	1,000.00	40.00	1,040.00
2.000	1,040.00	41.60	1,081.60
3.000	1,081.60	43.26	1,124.86
4.000	1,124.86	44.99	1,169.86
5.000	1,169.86	46.79	1,216.65
6.000	1,216.65	48.67	1,265.32
7.000	1,265.32	50.61	1,315.93
8.000	1,315.93	52.64	1,368.57
9.000	1,368.57	54.74	1,423.31
10.000	1,423.31	56.93	1,480.24

At the end of 10 Years there will be $1,480.24
Q11
Particulars	Time	PVF@10%	Amount	PV(Amount *PVF)
Deposits	1.000	0.9091	750.00	681.82
Deposits	2.000	0.8264	750.00	619.83
Deposits	3.000	0.7513	750.00	563.49
Deposits	4.000	0.6830	750.00	512.26
Deposits	5.000	0.6209	450.00	279.41
Deposits	6.000	0.5645	450.00	254.01
Deposits	7.000	0.5132	450.00	230.92
Deposits	8.000	0.4665	450.00	209.93
Deposits	9.000	0.4241	450.00	190.84
Deposits	10.000	0.3855	450.00	173.49
PV of Cash inflows or Amount to be paid for investment				3,716.01

Q12
Particulars	Time	PVF@10%	Amount	PV(Amount *PVF)
Deposits	1.000	0.9091	500.00	454.55
Deposits	2.000	0.8264	400.00	330.58
Deposits	3.000	0.7513	400.00	300.53
Deposits	4.000	0.6830	400.00	273.21
Deposits	5.000	0.6209	400.00	248.37
PV of Cash inflows or Amount to be paid for investment				1,607.22

Q13
Amount to be paid for Bond = 100/12%
Amount to be paid for Bond = 833.33

jeff jeffy answered 2 years ago

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