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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The amount of 3000 will have to be deposited to earn $90 of interest for 8 months, if money is deposited in a bank that pay's simple interest of 4.5%.
Explanation:
The given is,
Simple interest of 4.5 %
Earn $90 of interest for 8 months
Step:1
Formula to calculate the simple interest method,
...................................(1)
Where,
F - Future amount
P - Initial investment
i - Rate of interest
N - Number of years
From given,
i - 4.5%
Let, X - Initial investment, P = X
F = P + Interest amount
F = X + 90
From the equation (1),
(∵ N = 8 months = = 0.667 year )
= 3000
P = X = $ 3000
From the X value.
F = P + 90
= 3000 + 90
F = $ 3090
Result:
The amount of 3000 will have to be deposited to earn $90 of interest for 8 months, if money is deposited in a bank that pay's simple interest of 4.5%.