1. Nasco Biscuits paid a dividend of $2 today. The shares of Nasco are expected to grow at 1% with a required return of 3%. Also, Nasco, is issuing a 5-year bond with a $1,000 face value that pay a coupon of 5% per annum with a yield to maturity of 4%. The coupons are paid semi-annually. What is the price of Nasco shares and the price of its bond? Show calculations.
A. $100.00, $956.24
B. $101.00, $1,041.91
C. $101.00, $1,044.52
D. $66.66,$956.24
B. $101.00, $1,041.91
Price of stock is the present value of dividends.
Price of bond is the present value of cash flows from bond.
a. | Price of stock | = | D0*(1+g)/(Ke-g) | ||
= | $2.00*(1+0.01)/(0.03-0.01) | ||||
= | $101.00 | ||||
Where, | |||||
D0 | = | $2.00 | |||
g | = | 1% | |||
Ke | = | 3% | |||
b. | Price of bond | =-pv(rate,nper,pmt,fv) | |||
=$ 1,044.91 | |||||
Where, | |||||
rate | = | 4%/2 | = | 0.02 | |
nper | = | 5*2 | = | 10 | |
pmt | = | 1000*5%*6/12 | = | $25.00 | |
fv | = | $1,000.00 |
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