3. Question 3 (unbiased expectations theory). Assume the unbiased expecta- tions theory (Chap 2, L-G 2-7) is true throughout this question. (a) The current one-year Treasury bill rate is 5.2 percent and the expected one- year rate 12 months from now is 5.8 percent. What should be the current rate for a two-year Treasury security? (b) Suppose we observe the following rates: R1 = 8%, R: = 10%. What is the one-year interest rate expected one year from now, E(:r)? (c) Suppose the yield curve is inverted (i.e., interest rates/yields of longer maturity 5 Treasuries are lower than that of shorter maturity Treasuries). What does this imply about the expectation of the movement of short-term interest rate in the future? Will it go up, go down, or stay roughly unchanged?

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
Section: Chapter Questions
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3. Question 3 (unbiased expectations theory). Assume the unbiased expecta-
tions theory (Chap 2, L-G 2-7) is true throughout this question.
ns mak
(a) The current one-year Treasury bill rate is 5.2 percent and the expected one-
year rate 12 months from now is 5.8 percent. What should be the current rate
for a two-year Treasury security?
ke 4 ee
(b) Suppose we observe the following rates: R1 = 8%, iR2 = 10%. What is the
one-year interest rate expected one year from now, E(2rı)?
5,000
(c) Suppose the yield curve is inverted (i.e., interest rates/yields of longer maturity
vings
needs
he
nd the
Treasuries are lower than that of shorter maturity Treasuries). What does this
imply about the expectation of the movement of short-term interest rate in
the future? Will it go up, go down, or stay roughly unchanged?
5The same is not true about most other forms of loans. For instance, there is no tax deduction from
credit card interest payments. As you work through this question, think about what is the motivation
for the government to adopt this policy for mortgages.
6Compare with a hypothetical world in which there is no mortgage interest tax deduction.
e 5 of 6
1574 words
English (United States)
O Focus
170%
口國 E
19
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Transcribed Image Text:Word File Edit View Insert Format Tools Table Window Help A 1)) 20% [4) Sun 3:22:27 PM 合日ら, 凸 a HW1 (1) [Compatibility Mode] Q. Search in Document + ne Insert Draw Design Layout References Mailings Review View + Share a B Up PMingLiU - 12 A- A- Aa A AaBbCcDdEe AaBbCcDdEc AaBbCcDdEe AaBbCcDdEe AaBbCcDdEe AaBbCcDd AaBbCcDdE 国Re В - abe X, x2 A . A List Paragraph No Spacing Table Paragr. Styles Pane Normal Body Text Heading 1 Heading 2 3. Question 3 (unbiased expectations theory). Assume the unbiased expecta- tions theory (Chap 2, L-G 2-7) is true throughout this question. ns mak (a) The current one-year Treasury bill rate is 5.2 percent and the expected one- year rate 12 months from now is 5.8 percent. What should be the current rate for a two-year Treasury security? ke 4 ee (b) Suppose we observe the following rates: R1 = 8%, iR2 = 10%. What is the one-year interest rate expected one year from now, E(2rı)? 5,000 (c) Suppose the yield curve is inverted (i.e., interest rates/yields of longer maturity vings needs he nd the Treasuries are lower than that of shorter maturity Treasuries). What does this imply about the expectation of the movement of short-term interest rate in the future? Will it go up, go down, or stay roughly unchanged? 5The same is not true about most other forms of loans. For instance, there is no tax deduction from credit card interest payments. As you work through this question, think about what is the motivation for the government to adopt this policy for mortgages. 6Compare with a hypothetical world in which there is no mortgage interest tax deduction. e 5 of 6 1574 words English (United States) O Focus 170% 口國 E 19 étv **.
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