Corporate Finance
Corporate Finance
3rd Edition
ISBN: 9780132992473
Author: Jonathan Berk, Peter DeMarzo
Publisher: Prentice Hall
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Chapter 5, Problem 29P

Suppose the term structure of risk-free interest rates is as shown below:

Chapter 5, Problem 29P, Suppose the term structure of risk-free interest rates is as shown below: a. Calculate the present

  1. a. Calculate the present value of an investment that pays $1000 in two years and $2000 in five years for certain.
  2. b. Calculate the present value of receiving $500 per year, with certainty, at the end of the next five years. To find the rates for the missing years in the table, linearly interpolate between the years for which you do know the rates. (For example, the rate in year 4 would be the average of the rate in year 3 and year 5.)
  3. c. Calculate the present value of receiving $2300 per year, with certainty, for the next 20 years. Infer rates for the missing years using linear interpolation. (Hint: Use a spreadsheet.)
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Students have asked these similar questions
The yield curve indicates that the two-year interest rate will be a function of what variables? Include in your answer an explanation of how changes in these variables will affect the two-year interest rate.
Suppose we observe the 3-year Treasury security rate (1R3) to be 8 percent, the expected 1-year rate next year—E(2r1)—to be 4 percent, and the expected one-year rate the following year—E(3r1)—to be 6 percent. If the unbiased expectations theory of the term structure of interest rates holds, what is the 1-year Treasury security rate, 1R1?
Construct a spreadsheet to convert a nominal interest rate compounded m times per year i(m) and convert it to an effective rate jn per 1/n of a year. On the same spreadsheet, also start with an effective rate jm per 1/m of a year and convert it to a nominal rate i(n) compounded n times per year. Use your spreadsheet to solve the following two problems: Given the nominal rate i(12) = 5.700%, find the equivalent effective semi-annual rate. Given the effective semi-annual rate j2 = 2.884%, find the equivalent nominal rate ¡(12).

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Corporate Finance

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