Basic future values



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Chapter 2 Questions, Edition 11
Compounding intervals You are quoted an interest rate of 6% on an investment of $10 million. What is the value of your investment after four years if interest is compounded:

  1. Annually?

  2. Monthly? or

  3. Continuously?

Answer

INTERMEDIATE

12.

Present values What is the PV of $100 received in:

  1. Year 10 (at a discount rate of 1%)?

  2. Year 10 (at a discount rate of 13%)?

  3. Year 15 (at a discount rate of 25%)?

  4. Each of years 1 through 3 (at a discount rate of 12%)?

13.

Discount factors and present values

  1. If the one-year discount factor is .905, what is the one-year interest rate?

  2. If the two-year interest rate is 10.5%, what is the two-year discount factor?

  3. Given these one- and two-year discount factors, calculate the two-year annuity factor.

  4. If the PV of $10 a year for three years is $24.65, what is the three-year annuity factor?

  5. From your answers to (c) and (d), calculate the three-year discount factor.


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