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Mathematics
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Business Mathematics Study Set 1
Quiz 10: Annuities: Future Value and Present Value
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Question 221
Short Answer
Monty expects to contribute $300 at the end of every month to his RRSP for the next five years. For the subsequent 10 years, he plans to contribute $2,000 at the end of each calendar quarter. How much will be in his RRSP at the end of the 15 years if the funds earn 8% compounded semi-annually?
Question 222
Short Answer
An investment consists of deposits of $500 per quarter for 10 years. How much will be in the account after 10 years if interest is 5.5% compounded semi-annually?
Question 223
Short Answer
Joshua wants to structure a 20-year annuity so that its end-of-quarter payments are $2,000 for the first 10 years and $2,500 for the next 10 years. Pacific Life Insurance Co. offers to sell this annuity with a 4.8% compounded monthly rate of return to the annuitant. What amount must Joshua pay to Pacific for the annuity?
Question 224
Short Answer
An investment plan requires year-end contributions of $1,000 for 25 years. What will be the future value of the plan if it earns 7½% compounded monthly for the first 10 years and 8% compounded semi-annually thereafter?
Question 225
Short Answer
Cliff has a business bank loan in which he makes quarterly payments of $2821.40. The loan is for five years, at 4.75% compounded semi-annually. What was the amount of the loan? What amount of interest will Cliff pay on his loan?
Question 226
Short Answer
Sam is saving $100 per month. How much will he have in his account at the end of five years if his account earns 3.8% compounded quarterly?
Question 227
Short Answer
A preferred share pays a dividend of $3.25 per quarter until it is redeemed, at which time the value of the share is $60. What is the fair market value of the share if the redemption date is in 10 years, and shares of this type are currently generating a rate of return of 8% compounded semi-annually?
Question 228
Short Answer
What is the value of a contract that will pay $500 at the end of each month for 2 years and $2,000 at the end of each quarter for the subsequent 3 years? Use a discount rate of 6% compounded semi-annually.