Basic future values


Perpetuities and continuous compounding



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Chapter 2 Questions, Edition 11
Perpetuities and continuous compounding If the interest rate is 7%, what is the value of the following three investments?

  1. An investment that offers you $100 a year in perpetuity with the payment at the end of each year.

  2. A similar investment with the payment at the beginning of each year.

  3. A similar investment with the payment spread evenly over each year.

25.

Perpetuities and annuities Refer back to Sections 2-3 through 2-4. If the rate of interest is 8% rather than 10%, how much would you need to set aside to provide each of the following?

  1. $1 billion at the end of each year in perpetuity.

  2. A perpetuity that pays $1 billion at the end of the first year and that grows at 4% a year.

  3. $1 billion at the end of each year for 20 years.

  4. $1 billion a year spread evenly over 20 years.

 

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