Wildhorse Inc. manufactures cycling 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 bikes. After a careful evaluation of the request, the board of directors has decided to raise funds for the new plant by issuing $3,478,400 of 11% term corporate bonds on March 1, 2020, due on March 1, 2035, with interest payable each March 1 and September 1, with the first interest payment on September 1st, 2020. At the time of issuance, the market interest rate for similar financial instruments is 10%.
As the controller of the company, determine the selling price of the bonds. (Round factor values to 5 decimal places, e.g. 1.25124 and final answer to 0 decimal places, e.g. 458,581.)
Selling price of the bonds |
$ |
Selling price of the bonds | 3745766 |
Workings: | |||
Semi-annual interest | 191312 | =3478400*11%*6/12 | |
Semi-annual interest rate | 5% | =10%/2 | |
Number of periods | 30 | =15*2 | |
Amount | PV factor 5% | Present value | |
Semi-annual interest | 191312 | 15.37245 | 2940934 |
Principal | 3478400 | 0.23138 | 804832 |
Total | 3745766 | ||
PV factor 5% | |||
Semi-annual interest | 15.37245 | =(1-(1.05)^-30)/0.05 | |
Principal | 0.23138 | =1/1.05^30 |
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