Ch 13 WS wo solution
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Apr 3, 2024
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A MULTIPLE-STEP PROBLEM IN PERSONAL FINANCIAL PLANNING
Victor and his financial adviser are checking whether Victor’s savings plan will allow him to achieve his retirement goals. Victor wishes to retire in 30 years at age 58. His plan is to use some of the funds in his RRSP at age 58 to purchase a 10-year annuity paying $5000 at the end of each month. Then, at age 68, he intends to use the balance of the funds in his RRSP to purchase a 20-year annuity paying at least $7000 at each month’s end.
Victor anticipates that he will be able to contribute $5000 to his RRSP at the beginning of each of the next 15 years and $10,000 at the beginning of each of the subsequent 15 years. Can Victor achieve the desired retirement income if the RRSP earns 8% compounded semiannually and the funds used to purchase the annuities earn 7.5% compounded monthly?
A magazine offers a one-year subscription rate of $63.80 and a three-year subscription rate
of $159.80, both payable at the start of the subscription period. Assuming that you intend to
continue to subscribe for three years and that the one-year rate does not increase
for the
next two years, what rate of “return on investment” will be earned by paying for a
three-
year subscription now instead of three consecutive one-year subscriptions?
PV=159.80, PMT= 63.80, N=3, C/Y=P/Y=1
The payments required on a contractual obligation are $500 per month. The contract was
purchased for $13,372 just before a regular payment date. The purchaser determined this
price based on his required rate of return of 9.75% compounded monthly. How many pay-
ments will he receive?
PV=13,372.
Pembroke Golf Club’s initiation fee is $5500. It offers an installment payment alternative of
$1000 down and $1000 at the end of each year for five years. What effective rate of interest
is being charged on the installment plan?
PV=4,500 (5,500-1,000), PMT=-1,000
No BGN mode
Felix has already accumulated $20,000 and plans to invest another $5000 at the beginning
of each year for the next 15 years. He expects to earn a return of 7.25% compounded annually
on his investments. What size monthly payments can be withdrawn from the matured
investment beginning in the 16th year if it earns 4.5% compounded monthly for the next
15 years? Assume that the monthly payments will deplete the fund after 15 years.
PMT=-5,000, PV=-20,000 , FV= 194,524.43 PV=-194,524.43 , N=180, CPT PMT=1,482.54
F. Ernest Jerome, Tracy Worswick. (2019). Business Mathematics in Canada (10th Canadian Edition) [Texidium version]. Retrieved from http://texidium.com
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