Question

Cost of debt with fees. Kenny Enterprises will issue a bond with a par value of ​$1,000, a maturity of twenty​ years, and a coupon rate of 7.5 ​% with semiannual​ payments, and will use an investment bank that charges ​$25 per bond for its services. What is the cost of debt for Kenny Enterprises at the following market​ prices?
a. ​$982.48
b. ​$1,004.93
c. ​$1,068.15
d. ​$1,171.91

Answer 1

Answer:

Kenny Enterprises

Cost of Debt with fees:

Market Prices                    $982.48     $1,004.93     $1,068.15       $1,171.91

Cost of debt   (b- a)             $48.59          $26.14        ($37.08)     ($140.84)

Cost of debt in percentage  4.86%           2.61%           -3.71%        -14.08%

Explanation:

a) Data and Calculations:

Market Prices                    $982.48     $1,004.93     $1,068.15      $1,171.91

Investment bank charges    25.00            25.00          25.00          25.00

a) Net bonds proceeds    $957.48        $979.93    $1,043.15      $1,146.91

b) Repayments:

PV of interest payments   $770.66      $770.66       $770.66     $770.66

PV of principal ($1,000)       235.41         235.41          235.41        235.41

Total repayments           $1,006.07   $1,006.07     $1,006.07  $1,006.07

Cost of debt   (b- a)            $48.59        $26.14        ($37.08)     ($140.84)

Cost of debt in percentage  4.86%       2.61%           -3.71%        -14.08%

Present values of interest payments:

N (# of periods)  40

I/Y (Interest per year)  7.5

PMT (Periodic Payment)  37.5

FV (Future Value)  0

Results

PV = $770.66

Sum of all periodic payments $1,500.00

Total Interest $729.34

Present value of principal repayment:

N (# of periods)  20

I/Y (Interest per year)  7.5

PMT (Periodic Payment)  0

FV (Future Value)  1000

 

Results

PV = $235.41

Total Interest $764.5