Question

A portfolio manager is considering the purchase of a bond with a 5.5% coupon rate that pays interest annually and matures in three years. If the required rate of return on the bond is 5%, the price of the bond per 100 of par value is closest to:

Answer 1

Answer:

The price of the bond is closest  $101.36  

Explanation:

It is noteworthy that a rational investor pays for a bond today the cash flows derivable from the bonds in future discounted to today's terms.

The future cash flows comprise of the yearly coupon interest of $5.5(5.5% *$100) for 3 years as well as the repayment of the principal $100 at the end of year 3.

To bring the cash inflows today's term, we multiply them  them by the discounting factor 1/(1+r)^N , where is the yield to maturity of 5% and N is the relevant the cash flow is received.

The discounting is done in attached spreadsheet leading $ 101.36  present value today.

Download xlsx