The app store needs to raise $2.8 million for expansion. the firm wants to raise this money by selling 20-year, zero-coupon bonds with a par value of $1,000. the market yield on similar bonds is 6.49 percent. how many bonds must the company sell to raise the money it needs?

10,064 bonds

Explanation:

Given:

Amount to be raised = $2,800,000

Par value (FV) = $1,000

Maturity (nper) = 20×2 = 40 periods

Yield (rate) = 6.49 ÷ 2 = 3.245% or 0.03245

Coupon payment is 0 as it's a zero coupon bond.

Assume it's compounded semi-annually.

Calculate the price of the bond today using spreadsheet function =PV(rate,nper,pmt,FV)

Price of bond is $278.23

PV is negative as it's a cash outflow.

Number of bonds to be sold = Total amount to be raised ÷ Price of bond

                                                = 2,800,000 ÷ 278.23

                                                = 10,064 bonds

Company should sell 10,064 bonds to raise $2.8 million

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