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Mathematics
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Business Mathematics
Quiz 11: Annuities: Periodic Payment, Number of Payments, and Interest Rate
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Question 101
Short Answer
Karen obtained a $20,000 loan at 8% compounded semi-annually. What monthly payment will repay the loan in 7½ years? How much interest will Karen pay over the life of the loan?
Question 102
Short Answer
Larissa is saving each month to accumulate $10,000 in six years. Her account pays 4.25% compounded quarterly. What amount should Larissa deposit monthly to reach her goal? How much interest does Larissa earn?
Question 103
Essay
Mr. Sandstrom's will directed that $20,000 be placed in each of two investment trusts for his grandchildren, Lena and Axel. On each grandchild's 18
th
birthday, he or she is to receive the first of a series of equal quarterly payments running for 15 years. Lena has just turned 13, and Axel's age is 8 years, 6 months. If the funds earn 9.25% compounded semi-annually, what size of payment will each grandchild receive?
Question 104
Short Answer
What monthly payment would be required to pay off a loan of $3,000 at 7.25% compounded monthly over three years?
Question 105
Short Answer
What payments can be expected at the end of each quarter from a 10-year annuity purchased for $100,000 if the funds earn a) 6% compounded quarterly? b) 8% compounded quarterly?
Question 106
Short Answer
The interest rate on a four-year $10,000 loan to purchase a car is 7.2% compounded monthly. What is the amount of the monthly payment? (Source: CIFP course on Personal Financial Planning.)