Union Local School District has bonds outstanding with a coupon rate of 3.4 percent paid semiannually and 19 years to maturity.
The yield to maturity on these bonds is 3.6 percent and the bonds have a par value of $5,000. What is the price of the bonds? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Price $
1 answer:
Answer:
PV = $4,863.24
Explanation:
Computation of the given data are as follows:
Face value = $5,000
YTM = 3.6%
YTM (Semiannual) (Rate) = 3.6% ÷ 2 = 1.8%
Coupon rate = 3.4%
Coupon rate semiannual = 3.4% ÷ 2 = 1.7%
Coupon payment ( Pmt) = 1.7% × $5,000 = $85
Time period (semiannual) (Nper) = 19 × 2 = 38
By putting the value in the financial calculator, we will get the present value.
Attachment is attached below.
PV = $4,863.24
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$66.9725
Explanation:
Data provided in the question:
Dividend:
D1 = $1.20
D2 = $1.40
D3 = $1.55
Expected future price, P3 = $82
Required return = 8.9 percent = 0.089
Now,
Stock price today = Present value of dividends and the future value
Stock price today =
or
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or
Stock price today = $66.9725