The Xylon Firm wants to raise $18 million to expand its business. To accomplish this, the firm plans to sell 10-year, $1,000 face value zero-coupon bonds. The bonds will be priced to yield 5 percent. What is the minimum number of bonds the firm must sell to raise the $18 million it needs? Use annual compounding.
Number of bonds | = | Total amount needed | / | Selling price of a bond | ||||||
= | $ 18,000,000 | / | $ 613.91 | |||||||
= | 29,320 | |||||||||
Working: | ||||||||||
A zero coupon bond does not pay coupon.So, Price of zero coupon bond is the present value of face value of bond. | ||||||||||
Price of one bond | =-pv(rate,nper,pmt,fv) | Where, | ||||||||
$ 613.91 | rate | = | 5% | |||||||
nper | = | 10 | ||||||||
pmt | = | 0 | ||||||||
fv | = | $ 1,000 |
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