The MerryWeather Firm wants to raise $11 million to expand its business. To accomplish this, the firm plans to sell 15-year, $1,000 face value zero-coupon bonds. The bonds will be priced to yield 4%. What is the minimum number of bonds the firm must sell to raise the $11 million it needs?
a. 20,711.
b. 113,377.
c. 41,422.
d. 56,688.
e. 23,000.

Respuesta :

Answer:

$19,810.54

Explanation:

Calculation for the minimum number of bonds the firm must sell to raise the $11 million it needs

First step is to calculate the price of each bond

Price of each bond =1,000 / (1+0.04)^15

Price of each bond =1,000 / (1.04)^15

Price of each bond =$555.26

Now let calculate the minimum number of bonds the firm must sell

Minimum number of bonds to sell=$11 million/$555.26

Minimum number of bonds to sell=$19,810.54

Therefore the minimum number of bonds the firm must sell to raise the $11 million it needs is

$19,810.54