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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Answer:
$271.97
Explanation:
For this question we use the PMT i.e monthly payment that is presented on the attached spreadsheet. Kindly find it below:
Data provided in the question
Given that,
Present value = $30,000
Future value = $0
Rate of interest = 4.70% ÷ 12 months = 0.391666%
NPER = 10 years × 12 months = 120 months
The formula is shown below:
= PMT(Rate;NPER;-PV;FV;type)
The present value come in negative
So, after solving this, the monthly payment is $271.97
Answer:
4.40
Explanation:
For the nature of the Yield to Call and Yield to maturity
You can eiher solve with excel, a financial calculation or with approximation method
This will be the formula for approximation method
PTM= 41.25 (1,000 x 8.25 = 82.5 annual interest divide by 2 as there are semiannual payment)
C= 1045 This is the value of the called bond
F= 1000 The face value of the bond
n= 12 (6 years 2 payment per year)
We plug this into the formula and solve
partiel result of the upper part: 45
partial result, divisor: 1022.5
quotient 4.4009780%