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  • 17-07-2020
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What is the price of a perpetual bond that pays a $45 per year into perpetuity, and has a 3.5% yield to maturity (YTM)

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Kolawole845
Kolawole845 Kolawole845
  • 21-07-2020

Answer:

Price =$1,285.71

Explanation:

A perpetual bond is that which pays a fixed amount of interest income for the foreseeable future. It issuer does not always have an obligation for redemption under the terms of loan contract.

The price of   perpetual bond can be determined as the present value of a perpetuity. An perpetuity is an annuity that pays a fixed amount of cash flow for a certain number of years

PV = A/r

PV- price of bond- ?

A- annual interest - 45

r- Yield to maturity- 3.5%

Price = 45/0.035=1,285.714

Price =$1,285.71

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