You deposit $1.2 million into your account to cover expenses in the next 12 years. The account earns interest at the rate of 4%, compounded annually. Assume you expect the balance of the account to be $0 at the end of the 12th year. a) What annual level of living expenses will your initial deposit support? (e.g., what equal annual withdrawal can you make for the next 12 years)? b) Suppose you realize your living expenses will increase at an annual rate of 2% due to inflation. Determine the updated annual spending plan in line with this model: how much can you withdrawal at the end of the first year, knowing that your withdrawal will increase by 2% each year? c) Suppose the initial deposit is still planned to support your equal annual expenses in the next 10 years as in part a), but don't need to withdraw any money from your account for the first 6 years. You will withdraw from your account annually starting from the end of year 7 till the end of year 12. What annual level of living expenses will your initial deposit support?
You deposit $1.2 million into your account to cover expenses in the next 12 years. The account earns interest at the rate of 4%, compounded annually. Assume you expect the balance of the account to be $0 at the end of the 12th year. a) What annual level of living expenses will your initial deposit support? (e.g., what equal annual withdrawal can you make for the next 12 years)? b) Suppose you realize your living expenses will increase at an annual rate of 2% due to inflation. Determine the updated annual spending plan in line with this model: how much can you withdrawal at the end of the first year, knowing that your withdrawal will increase by 2% each year? c) Suppose the initial deposit is still planned to support your equal annual expenses in the next 10 years as in part a), but don't need to withdraw any money from your account for the first 6 years. You will withdraw from your account annually starting from the end of year 7 till the end of year 12. What annual level of living expenses will your initial deposit support?
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 44P
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