Consider two fixed coupon bonds with the same maturity 10Y and same face value F = 100. Bond 1 pays yearly coupons with coupon rate C₁ = 5% and bond 2 has coupon rate C₂ = 7%. Which of the two bonds has a larger duration? (a) Bond 1. (b) Bond 2. Consider two exchange rates X/Y and Z/Y. (For example EUR/USD and JPY/USD.) They both follow perfectly correlated geometric Brownian motions with parameters (μ₁,01) and (µ₂,0₂). Does the cross-exchange rate X/Z (for example EUR/JPY) also follows a geometric Brownian motion? (a) Yes (b) No

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
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**Question 29:**

Consider two fixed coupon bonds with the same maturity of 10 years and the same face value \( F = 100 \). Bond 1 pays yearly coupons with a coupon rate \( C_1 = 5\% \) and Bond 2 has a coupon rate \( C_2 = 7\% \).

Which of the two bonds has a larger duration?
- (a) Bond 1.
- (b) Bond 2.

---

**Question 30:**

Consider two exchange rates \( X/Y \) and \( Z/Y \). (For example, EUR/USD and JPY/USD.) They both follow perfectly correlated geometric Brownian motions with parameters \((\mu_1, \sigma_1)\) and \((\mu_2, \sigma_2)\).

Does the cross-exchange rate \( X/Z \) (for example EUR/JPY) also follow a geometric Brownian motion?
- (a) Yes
- (b) No

---

*Note: There are no graphs or diagrams provided in this text.*
Transcribed Image Text:**Question 29:** Consider two fixed coupon bonds with the same maturity of 10 years and the same face value \( F = 100 \). Bond 1 pays yearly coupons with a coupon rate \( C_1 = 5\% \) and Bond 2 has a coupon rate \( C_2 = 7\% \). Which of the two bonds has a larger duration? - (a) Bond 1. - (b) Bond 2. --- **Question 30:** Consider two exchange rates \( X/Y \) and \( Z/Y \). (For example, EUR/USD and JPY/USD.) They both follow perfectly correlated geometric Brownian motions with parameters \((\mu_1, \sigma_1)\) and \((\mu_2, \sigma_2)\). Does the cross-exchange rate \( X/Z \) (for example EUR/JPY) also follow a geometric Brownian motion? - (a) Yes - (b) No --- *Note: There are no graphs or diagrams provided in this text.*
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