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)

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