Questions from Business Mathematics


Q: Mr. O’Connor set up a trust account paying $500 per

Mr. O’Connor set up a trust account paying $500 per month in perpetuity to the local SPCA. These payments consume all of the interest earned monthly by the trust. Between what amounts does the balance...

See Answer

Q: What sum of money, invested today in a perpetual fund earning

What sum of money, invested today in a perpetual fund earning 5.5% compounded semiannually, will sustain quarterly perpetuity payments of $1000 if the first payment is made 1. three months from today?...

See Answer

Q: The common shares of Unicorp. are forecast to pay annual dividends

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...

See Answer

Q: Mr. Chan has donated $1 million to a college to

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 earn...

See Answer

Q: A wealthy benefactor has donated $1,000,000 to

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 three years’ time. If the funds e...

See Answer

Q: A legal dispute delayed for 18 months the disbursement of a $

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 e...

See Answer

Q: What amount is required to fund a perpetuity that pays $10

What amount is required to fund a perpetuity that pays $10,000 at the beginning of each quarter? The funds can be invested to earn 5% compounded quarterly.

See Answer

Q: A perpetuity is to pay $10,000 at the end

A perpetuity is to pay $10,000 at the end of every six months. How much less money is required to fund the perpetuity if the money can be invested to earn 5% compounded semiannually instead of 4% com...

See Answer

Q: In 1752, the British government converted all of its outstanding bonds

In 1752, the British government converted all of its outstanding bonds to perpetual bonds that paid a fixed interest rate. These bonds paid only the interest every three months—the principal amount of...

See Answer

Q: How much more money is required to fund an ordinary perpetuity than

How much more money is required to fund an ordinary perpetuity than a 30-year ordinary annuity if both pay $5000 quarterly and money can earn 5% compounded quarterly?

See Answer