Question

Vangaurd Health System bonds have an annual coupon rate of 8 percent and a par value of $1,000 and will mature in 20 years. If you require a 7 percent return, what price would you be willing to pay for a Vangaurd bond

Answer 1

Answer:

Price willing to pay=$1105.94

Explanation:

Annual Coupon Payment=$1,000*0.08

Annual Coupon Payment=$80

Calculating Present Value (PV) of Par Value:

$PV=\frac{FV}{(1+i)^{20}}$

Where:

i is the rate of return.

FV is par value

$PV=\frac{\ 1000}{(1+0.07)^{20}}$

PV= $258.419.

Calculating PV of annual Coupon Payment:

$PV=A\frac{1-(1+i)^{-20}}{i}$

i is the coupon rate

A is the annual Payment

$PV=\ 80\frac{1-(1+0.07)^{-20}}{0.07}$

PV=$847.521

Price willing to pay= Present Value (PV) of Par Value+ PV of annual Coupon Payment

Price willing to pay=$258.419+$847.521

Price willing to pay=$1105.94