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jok3333 [9.3K]
3 years ago
10

Scottie Adams Bird Supplies issued 14% bonds, dated January 1, with a face amount of $140,000 on January 1, 2021. The bonds matu

re in 2031 (10 years). For bonds of similar risk and maturity the market yield is 12%. Interest is paid semiannually on June 30 and December 31. What is the price of the bonds at January 1, 2021
Business
1 answer:
Georgia [21]3 years ago
4 0

Answer:

$156,058

Explanation:

Missing word <em>"PV of annuity due of $1: n = 20; i = 6% is 12.15812 *PV of ordinary annuity of $1: n = 20; i = 6% is 11.46992 **PV of $1: n = 20; i = 6% is 0.31180"</em>

<em />

n = 20, i = 6%

Periodic interest payments of the bonds =  Face value of the bonds * Stated rate of interest * 6 months/12 months

= $140,000 * 14% * 6 months/12 months

= $9,800

Cash Flow                           Amount        Table Value   Present Value

Interest payments              $9,800           11.46992           $112,405

Maturity Value                    $140,000        0.31180             <u>$43,653</u>

Issue Price of the bonds at January 1, 2021                    <u>$156,058</u>

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(Q_{in} ){new} = Q_{out} / (n_{furnance} ){new}

               = 3.85 x 10^{6} / 0.8

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Calculate the saved energy after the tune-up

(Q_{in} ){saved} = Q_{in} - (Q_{in} ){new}

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                 = 0.6875  x 10^{6} Btu/h

Calculate the annual energy saving ( E_{Saving} )

E_{Saving} = (Q_{in} ){saved} x t

           = ( 0.6875  x 10^{6} Btu/h ) ( 5200 hr/yr)

           = 3575 x 10^{6} Btu/h

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Annual cost saving = E_{Annual saving} x Unit cost

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