Question

Wenjing purchases a bond for $2,000 with 12 remaining $40 quarterly coupon payments. The bond broker who sells her the bond reassures her that she will earn a return of 3% per quarter but does not disclose the bond's par value. What par value would result in the return the bond broker promises

Answer 1

Wenjing

The par value that would result in the return the bond broker promises is:

= $1,333.

Step-by-step explanation:

a) Data and Calculations:

Bond amount paid = $2,000

Quarterly coupon payments = $40

Remaining coupon payments = 12

Bond maturity period = 3 years (12/4)

Promised returns per quarter = 3%

Par value of bond = Quarterly premium/Quarterly returns in percentage = $1,333 ($40/0.03)

Check: 3% of $1,333 = $40

This implies that the bond's annual interest rate = 12% (3% * 4)