Stech Co. is issuing $9 million 12% bonds in a private placement on July 1, 2020. Each $1,000 bond pays interest semi-annually on December 31 and June 30 of each year. The bonds mature in ten years. At the time of issuance, the market interest rate for similar types of bonds was 8%. What is the expected selling price of the bonds? solve using the calculator method (PV= FV= N=) and show ur work. answer is supposed to be 11446288
Answer :-
Selling Price of The Bond = $11,008,495
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Explanations :-
Bond Valuation | |
Bond face Value | $90,00,000 |
Bond Interest rate | 9% |
Market Interest rate | 8% |
Bond Tenture in Years | 10 |
Interest Payment | Semi-Annually |
Stetch Co paid interest semi-annually, So The Intrest payment will be Devided with 2 And Number of payment will be multiplied with 2
Bond Interest rate = 9% / 2 = 4.50%
Bond Tenture perids = 10 × 2 = 20
W can find the present Value and Present Value of Annuity in present value Table,
Present Value of 3% on 20th Year = 0.55368
Present Value of Annuity of 3% Over 20 Period = 14.87747
Interest paid Semi-Annually = $90,00,000 × 4.50%
= $4,05,000
Cash Flows | PV Table Value | Amount | Present value |
Par(Maturity) Value | 0.55368 | $90,00,000 | $49,83,120 |
Interest (Annuity) | 14.87747 | $4,05,000 | $60,25,375 |
Selling Price of The Bond | $11,008,495 |
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