# Answer to Question #64214 in Macroeconomics for Teresa

Question #64214

Assume that risk neutral investors decide whether to invest in a risk-free bond with interest rate i0 or a government bond with default risk. With probability ω investors lose their investment in the government bond (including the interest payment). With probability 1 − ω investors receive interest rate i. Mark the correct statements.

In addition, suppose that the default risk of the government bond is increasing in the interest rate as follows: ω = ω0 + βi.

5. Assume that ω0 = 0, β = 1 and i0 = 0. Mark the correct statements.

(a) There are multiple equilibrium interest rates i for government-bonds. (b) There are exactly two equilibrium interest rates i.

(c) There is a unique equilibrium interest rate i = 0%.

(d) There is a unique equilibrium interest rate i = 100%.

(e) There are two equilibria: i = 0 % and i = 100 %.

In addition, suppose that the default risk of the government bond is increasing in the interest rate as follows: ω = ω0 + βi.

5. Assume that ω0 = 0, β = 1 and i0 = 0. Mark the correct statements.

(a) There are multiple equilibrium interest rates i for government-bonds. (b) There are exactly two equilibrium interest rates i.

(c) There is a unique equilibrium interest rate i = 0%.

(d) There is a unique equilibrium interest rate i = 100%.

(e) There are two equilibria: i = 0 % and i = 100 %.

Expert's answer

The correct statements of all statements is (e) that there are two equilibria: i = 0 % and i = 100 %.

## Comments

Assignment Expert19.12.16, 17:50Dear Teresa, obviously answer b) isn't correct since it states only one equilibrium rate.

Teresa18.12.16, 01:38How do you get 0 and 100% .. And wouldnt be b) also then correct??

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