nominal payment each year, forever. It is also a good approximation for the present discounted value of a stream of constant pa pose that i= 4%. Let $z = $500. present value of the consol is $ 12500. (Enter your response as a whole number.) the expected present discounted value of each of the following bonds. (Hint: Use the formula from the chapter but remember to a 4%, the expected present discounted value of a bond that pays $500 per year over the next 10 years is $. (Round your respo 4%, the expected present discounted value of a bond that pays $500 per year over the next 20 years is $. (Round your respo 4%, the expected present discounted value of a bond that pays $500 per year over the next 30 years is $. (Round your respo 4%, the expected present discounted value of a bond that pays $500 per year over the next 50 years is $ (Round your respo

Financial Management: Theory & Practice
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Chapter4: Time Value Of Money
Section: Chapter Questions
Problem 12MC: (1) What is the value at the end of Year 3 of the following cash flow stream if the quoted interest...
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MN.50.

 

The present value of an infinite stream of dollar payments of $z (that starts next year) is $z/i when the nominal interest rate, i, is constant. This formula gives the price of a consol-a bond paying a
fixed nominal payment each year, forever. It is also a good approximation for the present discounted value of a stream of constant payments over long but not infinite periods, as long as i is constant.
Suppose that i = 4%. Let $z= $500.
The present value of the consol is $ 12500. (Enter your response as a whole number.)
Find the expected present discounted value of each of the following bonds. (Hint: Use the formula from the chapter but remember to adjust for the first payment.)
If i = 4%, the expected present discounted value of a bond that pays $500 per year over the next 10 years is $
(Round your response to the nearest whole number.)
If i = 4%, the expected present discounted value of a bond that pays $500 per year over the next 20 years is $
(Round your response to the nearest whole number.)
(Round your response to the nearest whole number.)
If i = 4%, the expected present discounted value of a bond that pays $500 per year over the next 30 years is $
If i = 4%, the expected present discounted value of a bond that pays $500 per year over the next 50 years is $
(Round your response to the nearest whole number.)
Transcribed Image Text:The present value of an infinite stream of dollar payments of $z (that starts next year) is $z/i when the nominal interest rate, i, is constant. This formula gives the price of a consol-a bond paying a fixed nominal payment each year, forever. It is also a good approximation for the present discounted value of a stream of constant payments over long but not infinite periods, as long as i is constant. Suppose that i = 4%. Let $z= $500. The present value of the consol is $ 12500. (Enter your response as a whole number.) Find the expected present discounted value of each of the following bonds. (Hint: Use the formula from the chapter but remember to adjust for the first payment.) If i = 4%, the expected present discounted value of a bond that pays $500 per year over the next 10 years is $ (Round your response to the nearest whole number.) If i = 4%, the expected present discounted value of a bond that pays $500 per year over the next 20 years is $ (Round your response to the nearest whole number.) (Round your response to the nearest whole number.) If i = 4%, the expected present discounted value of a bond that pays $500 per year over the next 30 years is $ If i = 4%, the expected present discounted value of a bond that pays $500 per year over the next 50 years is $ (Round your response to the nearest whole number.)
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