Question

Find the price of a corporate bond maturing in 5 years that has a 5% coupon (annual payments), a $1,000 face value, and an AA rating. A local newspaper's financial section reports that the yields on 5 year bonds are: AAA = 6%, AA = 7%, and A = 8%.

Answer 1

$917.996

Step-by-step explanation:

First, we calculate price:

Price = 5% * 1000 = $50.

At the fifth year, Price = $1000 + $50 = $1050

The price of the Corporate bond is given as:

50/(1+.07) + 50/(1+.07)² + 50/(1+.07)³ + 50/(1+.07)⁴ + 1050/(1+.07)^5

= 917.9960512810481

=$917.996 ---- Approximated

Answer 2

$917.99

Step-by-step explanation:

BP = Sum of discounted annual coupon payment + discounted face value

Coupon = 1000 × 0.05 = $50

The bond is AA reted so we use the 7% yiled

Sum of coupons

50/1.07)^1 +50/(1.07)² + 50/(1.07)³ + 50/ (1.07)^4 + 50/ (1.07)^5

=$205

Discounted face value =1000/ 1.07^5

=$712.98

BP = 205 + 712.99

=$917.99