Paul Adams owns a health club in downtown Los Angeles. He charges his customers an annual fee of $850 and has an existing customer base of 925. Paul plans to raise the annual fee by 6 percent every year and expects the club membership to grow at a constant rate of 7 percent for the next five years. The overall expenses of running the health club are $420,000 a year and are expected to grow at the inflation rate of 3 percent annually. After five years, Paul plans to buy a luxury boat for $875,000, close the health club, and travel the world in his boat for the rest of his life. Assume Paul has a remaining life of 30 years after he retires and earns 7 percent on his savings. a. How much will Paul have in his savings on the day he starts his world tour assuming

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Vijay 

Paul Adams owns a health club in downtown Los Angeles. He charges his customers an
annual fee of $850 and has an existing customer base of 925. Paul plans to raise the
annual fee by 6 percent every year and expects the club membership to grow at a
constant rate of 7 percent for the next five years. The overall expenses of running the
health club are $420,000 a year and are expected to grow at the inflation rate of 3
percent annually. After five years, Paul plans to buy a luxury boat for $875,000, close the
health club, and travel the world in his boat for the rest of his life. Assume Paul has a
remaining life of 30 years after he retires and earns 7 percent on his savings.
a. How much will Paul have in his savings on the day he starts his world tour assuming
he has already paid for his boat? (Do not round intermediate calculations and round
your answer to 2 decimal places, e.g., 32.16.)
b. What is the annual amount that Paul can spend while on his world tour if he will have
no money left in the bank when he dies? (Do not round intermediate calculations
and round your answer to 2 decimal places, e.g., 32.16.)
a. Account value at retirement
b. Annual withdrawal
Transcribed Image Text:Paul Adams owns a health club in downtown Los Angeles. He charges his customers an annual fee of $850 and has an existing customer base of 925. Paul plans to raise the annual fee by 6 percent every year and expects the club membership to grow at a constant rate of 7 percent for the next five years. The overall expenses of running the health club are $420,000 a year and are expected to grow at the inflation rate of 3 percent annually. After five years, Paul plans to buy a luxury boat for $875,000, close the health club, and travel the world in his boat for the rest of his life. Assume Paul has a remaining life of 30 years after he retires and earns 7 percent on his savings. a. How much will Paul have in his savings on the day he starts his world tour assuming he has already paid for his boat? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. What is the annual amount that Paul can spend while on his world tour if he will have no money left in the bank when he dies? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) a. Account value at retirement b. Annual withdrawal
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