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In: Finance

Nesmith Corporation's outstanding bonds have a $1,000 par value, an 11% semiannual coupon, 20 years to...

Nesmith Corporation's outstanding bonds have a $1,000 par value, an 11% semiannual coupon, 20 years to maturity, and a 15% YTM. What is the bond's price? Round your answer to the nearest cent.

Solutions

Expert Solution

Particulars Cash flow Discount factor Discounted cash flow
present value Interest payments-Annuity (7.5%,40 periods) $                         55.00 12.59441 $                692.69
Present value of bond face amount -Present value (7.5%,40 periods) $                    1,000.00 0.05542 $                  55.42
Bond price $                748.11
Face value $             1,000.00
Premium/(Discount) $              (251.89)
Interest amount:
Face value 1,000
Coupon/stated Rate of interest 11.000%
Frequency of payment(once in) 6 months
Interest amount 1000*0.11*6/12= $                  55.00
Present value calculation:
yield to maturity/Effective rate 15.00%
Effective interest per period(i) 0.15*6/12= 7.500%
Number of periods:
Particulars Amount
Number of interest payments in a year                                     2
Years to maturiy                                20.0
Number of periods                                   40

Answer is:

748.11


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