Showing posts with label California State Lottery. Show all posts
Showing posts with label California State Lottery. Show all posts

Wednesday, July 7, 2021

Congratulations. You just won the California State Lottery. The amount awarded is paid in 20 equal annual installments

Congratulations. You just won the California State Lottery. The amount awarded is paid in 20 equal annual installments, at the beginning of each year. You can invest your money at 6.6%, compounded annually. You have calculated that the lottery is worth $20,975,400 today. How much was the amount awarded?
A) $75,310,294
B) $36,000,000
C) $81,047,770
D) $42,000,000

A friend of yours borrows $19,500 from the bank at 8% annually to be repaid in 10 equal annual end-of-year installments. The interest paid on this loan in year three is

A) $1,336.01.
B) $1,560.00.
C) $2,906.11.
D) $1,947.10.


If a loan of $10,000 is paid back in equal annual end-of-year payments of $2,570.69 during the next five years, what is the annual interest rate on the loan?
A) 2%
B) 5%
C) 9%
D) 12%

What is the present value of an investment that pays $10,000 every year at year-end for the next five years and $15,000 every year at year-end for years six through 10? The annual rate of interest for the investment is 9%.
A) $125,000.00
B) $97,250.00
C) $135,173.00
D) $76,827.50


If you have $375,000 in an account earning 9% annually, what constant amount could you withdraw each year and have nothing remaining at the end of 20 years?
A) $7,500
B) $18,750
C) $66,912
D) $5,575
E) $41,080

You wish to borrow $12,000 to be repaid in 60 monthly installments of $257.93. The annual interest rate is
A) 10.50%.
B) 12.75%.
C) 15.25%.
D) 6.50%.
E) 8.80%.

You wish to purchase a condo at a cost of $175,000. You are able to make a down payment of $35,000 and will borrow $140,000 for 30 years at an interest rate of 7.25%. How much is your monthly payment? To solve this problems with an EXCEL spreadsheet, you would enter
A) =PMT(7.25/12,360,140000,0,1)
B) =PMT(.0725/12,360,140000,0,1)
C) =PMT(7.25,30,140000,0,1) /12
D) =PMT(.0725/12,360,175000,0,1)

Tuesday, July 6, 2021

Francis Peabody just won the $89,000,000 California State Lottery. The lottery offers the winner a choice of receiving

Francis Peabody just won the $89,000,000 California State Lottery. The lottery offers the winner a choice of receiving the winnings in a lump sum or in 26 equal annual installments to be made at the beginning of each year. Assume that funds would be invested at 7.65%. Francis is trying to decide whether to take the lump sum or the annual installments. What is the amount of the lump sum that would be exactly equal to the present value of the annual installments? Round off to the nearest $1.
A) $89,000,000
B) $38,163,612
C) $13,092,576
D) $41,083,128

When comparing annuity due to ordinary annuities, annuity due annuities will have higher

A) present values.
B) annuity payments.
C) future values.
D) both A and C.
E) all of the above.

Gina Dare, who wants to be a millionaire, plans to retire at the end of 40 years. Gina's plan is to invest her money by depositing into an IRA at the end of every year. What is the amount that she needs to deposit annually in order to accumulate $1,000,000? Assume that the account will earn an annual rate of 11.5%. Round off to the nearest $1.
A) $1,497
B) $5,281
C) $75
D) $3,622


As time increases for an amortized loan, the ________ decreases.
A) interest paid per payment
B) principal paid per payment
C) the outstanding loan balance
D) both A and C
Answer:  D

Bull Gator Industries is considering a new assembly line costing $6,000,000. The assembly line will be fully depreciated

Bull Gator Industries is considering a new assembly line costing $6,000,000. The assembly line will be fully depreciated by the simplified s...