Question 1

Ken Tuckie is about to buy a 25-year annuity that will deliver end-of-month payments. The first payment will be $1,000. How much more will it cost to index the annuity so that payments grow at the rate of 2.4% compounded monthly? Assume the money used to purchase the annuity earns 5.4% compounded monthly.

Accepted Answer

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Question 2

The common shares of Unicorp. are forecast to pay annual dividends of $2 at the end of each of the next five years, followed by dividends of $3 per year in perpetuity. What is the fair market value of the shares if the market requires a 8% annually compounded rate of return on shares having a similar degree of risk?

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Question 3

Mr. Larsen's will directed that $200,000 be invested to establish a perpetuity making payments at the end of each month to his wife for as long as she lives and subsequently to the Canadian Heart Foundation. What will the payments be if the funds can be invested to earn 5.4% compounded monthly?

Accepted Answer

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Question 4

Mrs. McTavish wants to establish an annual $5,000 scholarship in memory of her husband. The first scholarship is to be awarded two years from now. If the funds can earn 6.25% compounded annually, what amount must Mrs. McTavish pay now to sustain the scholarship in perpetuity?

Accepted Answer

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Question 5

What percentage more money is required to fund an ordinary perpetuity than to fund a 30-year ordinary annuity if the funds can earn 5.8% compounded semi-annually? The perpetuity and the annuity each pay $1,000 semi-annually.

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Question 6

The dividends on the common shares of Mosco Inc. are forecast to grow at 10% per year for the next five years. Thereafter, the best guess is that the annual dividend will grow at the same 3% annual rate as the nominal GNP. A $2.00 dividend for the past year was recently paid. Assume that the required rate of return is 9% compounded annually. What is the fair market value of the shares if we ignore all dividends beyond a 30-year time horizon?

Accepted Answer

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Question 7

In this LO, does constant growth mean that each successive payment increases by the same dollar amount? If not, what does it mean?

Accepted Answer

In this LO constant growth means that each successive payment increases by the same percentage.

Question 8

Ida Ho is about to retire from a government job with a pension that is indexed to the Consumer Price Index (CPI). She is 60 years old and has a life expectancy of 25 years. Estimate the current economic value of her pension which will start at $20,000 per year? For the purpose of this estimation, assume that Ida will draw the pension for 25 years, the annual pension will be paid in a single year-end payment, the CPI will rise 2.5% per year, and money is worth 5% compounded annually. How much of the current economic value comes from indexing?

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Question 9

Dr. Pollard donated $100,000 to the Canadian National Institute for the Blind. The money is to be used to make semi-annual payments in perpetuity (after a period of deferral) to finance the recording of books on tape. The first perpetuity payment is to be made five years from the date of the donation. If the funds are invested at 5% compounded semi-annually, what will be the size of the payments?

Accepted Answer

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Question 10

The common shares of Bancorp Ltd. are forecast to pay annual dividends of $3 at the end of each of the next five years, followed by dividends of $2 per year in perpetuity. What is the fair market value of the shares if the market requires a 5% annually compounded rate of return on shares having a similar degree of risk?

Accepted Answer

The answer of The common shares of Bancorp Ltd. are...

Question 11

Suppose year-end contributions to an RRSP start at $3,000 and increase by 2.5% per year thereafter. What will be the amount in the RRSP after 25 years if the plan earns 9% compounded annually?

Accepted Answer

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Question 12

Determine the unknown value for the following deferred annuity. The annuity is understood to be an ordinary annuity after the period of deferral.

Accepted Answer

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Question 13

A legal dispute delayed for 18 months the disbursement of a $500,000 bequest designated to provide quarterly payments in perpetuity to a hospice. While under the jurisdiction of the court, the funds earned interest at the rate of 5% compounded semi-annually. The hospice has just invested the $500,000 along with its earnings in a perpetual fund earning 5.2% compounded semi-annually. What payments will the hospice receive beginning three months from now?

Accepted Answer

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Question 14

How much will it cost to purchase a 20-year indexed annuity in which the end-of-quarter payments start at $5,000 and grow by 2% compounded quarterly? Assume that the money used to purchase the annuity earns 6% compounded quarterly.

Accepted Answer

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Question 15

Determine the unknown value for the following deferred annuity. The annuity is understood to be an ordinary annuity after the period of deferral.

Accepted Answer

The answer of Determine the unknown value for the following...

Question 16

Mr. Chan has donated $1 million to a college to set up a perpetuity for the purchase of books and journals for a new library to be built and named in his honour. The donation will be invested and earnings will compound for three years, at which time the first of the quarterly perpetuity payments will be made. If the funds earn 6% compounded quarterly, what will be the size of the payments?

Accepted Answer

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Question 17

How much more money is required to fund an ordinary perpetuity than a 25-year ordinary annuity if the funds can earn 7% compounded quarterly and both pay $500 monthly?

Accepted Answer

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Question 18

A wealthy benefactor has donated $1,000,000 to establish a perpetuity that will be used to support the operating costs of a local heritage museum scheduled to open in 3 years' time. If the funds earn 4.8% compounded monthly, what monthly payments, the first occurring three years from now, can the museum expect?

Accepted Answer

The answer of A wealthy benefactor has donated $1,000,000 to...

Question 19

Randall wants to accumulate $750,000 in his RRSP by the end of his 30-year working career. What should be his initial year-end contribution if he intends to increase the contribution by 3% every year and the RRSP earns 5.25% compounded annually?

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Question 20

Dean has already implemented the first stage of his financial plan. Over a 30-year period, he will continue to increase his annual year-end RRSP contributions by 2% per year. His initial contribution was $2,000. At the end of the 30 years, he will transfer the funds to an RRIF and begin end-of-month withdrawals that will increase at the rate of 1.8% compounded monthly for 25 years. Assume that his RRSP will earn 6% compounded annually and his RRIF will earn 3% compounded monthly. What will be the size of his initial RRIF withdrawal?

Accepted Answer

The answer of Dean has already implemented the first stage...

Quiz 12: Annuities: Special Situations

Mr. Larsen's will directed that $200,000 be invested to establish a perpetuity making payments at the end of each month to his wife for as long as she lives and subsequently to the Canadian Heart Foundation. What will the payments be if the funds can be invested to earn 5.4% compounded monthly?

Mrs. McTavish wants to establish an annual $5,000 scholarship in memory of her husband. The first scholarship is to be awarded two years from now. If the funds can earn 6.25% compounded annually, what amount must Mrs. McTavish pay now to sustain the scholarship in perpetuity?

What percentage more money is required to fund an ordinary perpetuity than to fund a 30-year ordinary annuity if the funds can earn 5.8% compounded semi-annually? The perpetuity and the annuity each pay $1,000 semi-annually.

In this LO, does constant growth mean that each successive payment increases by the same dollar amount? If not, what does it mean?

Suppose year-end contributions to an RRSP start at $3,000 and increase by 2.5% per year thereafter. What will be the amount in the RRSP after 25 years if the plan earns 9% compounded annually?

Determine the unknown value for the following deferred annuity. The annuity is understood to be an ordinary annuity after the period of deferral.

How much will it cost to purchase a 20-year indexed annuity in which the end-of-quarter payments start at $5,000 and grow by 2% compounded quarterly? Assume that the money used to purchase the annuity earns 6% compounded quarterly.

Determine the unknown value for the following deferred annuity. The annuity is understood to be an ordinary annuity after the period of deferral.

How much more money is required to fund an ordinary perpetuity than a 25-year ordinary annuity if the funds can earn 7% compounded quarterly and both pay $500 monthly?

Randall wants to accumulate $750,000 in his RRSP by the end of his 30-year working career. What should be his initial year-end contribution if he intends to increase the contribution by 3% every year and the RRSP earns 5.25% compounded annually?