Question

In: Finance

Suppose a firm has $7,069,714 in 18 year capital debt on its balance sheet at a...

Suppose a firm has $7,069,714 in 18 year capital debt on its balance sheet at a coupon rate of 6.53%. The debt was issued 9 years ago and pays interest semi-annually in a market in which similar debt is yielding 9.79%. What is the market value of the firm's capital debt? You can assume the debt is in the form of bonds, each having a face value of $1,000.

Solutions

Expert Solution

Remaining term is 9 years that is 18 interest periods.

Particulars Cash flow Discount factor Discounted cash flow
present value Interest payments-Annuity (4.895%,18 periods) $               230,826.16 11.78608 $     2,720,534.80
Present value of bond face amount -Present value (4.895%,18 periods) $            7,069,714.00 0.42307 $     2,990,994.91
Bond price $     5,711,529.71
Face value $     7,069,714.00
Premium/(Discount) $   (1,358,184.29)
Interest amount:
Face value 7,069,714
Coupon/stated Rate of interest 6.530%
Frequency of payment(once in) 6 months
Interest amount 7069714*0.0653*6/12= $        230,826.16
Present value calculation:
yield to maturity/Effective rate 9.79%
Effective interest per period(i) 0.0979*6/12= 4.895%

Market value of debt is 5,711,529.71


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