Question 1

Christian plans to initially contribute $3,000 and increase his yearly contributions by 5% each year for 20 years. If the rate of interest is 7% compounded annually, determine the amount of his payment in year 12.

Accepted Answer

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Question 2

Baba Lou plans to retire in 20 years. At that point he plans to collect payments at the end of every six months that are 2% larger than the previous payment and this is to continue for 30 years. The first payment will be $16,500. His retirement plan is expected to earn 7% compounded semi-annually after he retires and 10% compounded annually before he retires. What single investment should he make now to fund the whole retirement plan?

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Question 3

Nino plans to initially contribute $10,000 and increase his yearly contributions by 2% each year for 15 years. If the rate of interest is 4% compounded annually, determine how much the investment will be worth in 15 years.

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Question 4

A loan of $126,500,000 is to be repaid by annual payments for 25 years. The payments will form a constant growth annuity with each payment being 20% larger than the previous one. The interest rate charged on the loan is 11% compounded annually. What is the size of the first payment?

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Question 5

Calculate the present value of a 25-year annuity making semi-annual payments that grow at a rate of 4% compounded annually. The first payment is $25,000 and the funds earn 8% compounded semi-annually.

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Question 6

Edward wishes to have $450,000 in his retirement plans in 25 years. He plans to make annual contributions that will increase by 1% each year. If interest is earned at 5% compounded annually, determine the value of the initial payment in year 1.

Accepted Answer

The answer of Edward wishes to have $450,000 in his...

Quiz 12: Annuities: Special Situations

Christian plans to initially contribute $3,000 and increase his yearly contributions by 5% each year for 20 years. If the rate of interest is 7% compounded annually, determine the amount of his payment in year 12.

Nino plans to initially contribute $10,000 and increase his yearly contributions by 2% each year for 15 years. If the rate of interest is 4% compounded annually, determine how much the investment will be worth in 15 years.

A loan of $126,500,000 is to be repaid by annual payments for 25 years. The payments will form a constant growth annuity with each payment being 20% larger than the previous one. The interest rate charged on the loan is 11% compounded annually. What is the size of the first payment?

Calculate the present value of a 25-year annuity making semi-annual payments that grow at a rate of 4% compounded annually. The first payment is $25,000 and the funds earn 8% compounded semi-annually.

Edward wishes to have $450,000 in his retirement plans in 25 years. He plans to make annual contributions that will increase by 1% each year. If interest is earned at 5% compounded annually, determine the value of the initial payment in year 1.