Waltman Company manufactures exercise equipment. Recently the vice president of operations of the company has requested construction of a new plant to meet the increasing demand for the company's exercise equipment. After a careful evaluation of the request, the board of directors has decided to raise funds for the new plant by issuing $3150000 of 15% bonds on March 1, 2020, due on March 1, 2035, with interest payable each March 1 and September 1. At the time of issuance, the market interest rate for similar financial instruments is 14%. What is the selling price of the bonds? (For calculation purposes, use 5 decimal places as displayed in the factor table provided.)
Bond Selling Price | $3,345,587 | |||
Working | ||||
Bond Price formula | =C*[1-[1/(1+i)n]/i+M/(1+i)n | |||
Bond Selling Price | = 236250*(1-1/(1+0.07)^30)/0.07+3150000/(1+0.07)^30 | = | 3,345,587 | |
= 2,933,808+ 411,779 | ||||
C= | (3,150,000*15%)/2 | = | 236,250 | |
M= | 3,150,000 | |||
i | 14% | |||
Half yearly | 7% | |||
n | 15*2=30 |
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