Question

In: Finance

Humana Inc. is a for-profit American health insurance company based in Louisville, Kentucky. The company has...

Humana Inc. is a for-profit American health insurance company based in Louisville, Kentucky. The company has a series of $1,000 par value bonds outstanding. Each bond pays interest annually and carries an annual coupon rate of 8%. Some bonds are due in five (10) years while others are due in thirty (30) years. If the required rate of return on bonds is 10%, what is the current value of: (PLEASE SHOW YOU RWORK).

a) The bonds with 10 years to maturity?

b) The bonds with 30 years to maturity?

Solutions

Expert Solution

Answer-

a) Current value of bond with 10 years of  maturity

YEAR PARTICULARS

CASH

FLOW

(a)

DISCOUNTING

FACTOR @ 10%

(b)

DISCOUNTED

CASH FLOW

(c=a*b)

1-10 Interest $80 6.145 $491.60
10 Maturity $1000 0.3855 $385.50
TOTAL $877.10

b) Current value of bond with 30 years of maturity

YEAR PARTICULARS

CASH

FLOW

(a)

DISCOUNTING

FACTOR @ 10%

(b)

DISCOUNTED

CASH FLOW

(c=a*b)

1-30 Interest $80 9.427 $754.16
30 Maturity $1000 0.0573 $57.30
TOTAL $811.46

Note- Assuming that bonds are redeemable at par value i.e. $1000


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