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Lynna [10]
3 years ago
13

Adonis Corporation issued 10-year, 11% bonds with a par value of $270,000. Interest is paid semiannually. The market rate on the

issue date was 10%. Adonis received $286,827 in cash proceeds. Which of the following statements is true?
a) Adonis must pay $286,827 at maturity and no interest payments.
b) Adonis must pay $270,000 at maturity and no interest payments.
c) Adonis must pay $270,000 at maturity plus 20 interest payments of $13,500 each.
d) Adonis must pay $286,827 at maturity plus 20 interest payments of $14,850 each.
e) Adonis must pay $270,000 at maturity plus 20 interest payments of $14,850 each.
Business
1 answer:
shutvik [7]3 years ago
3 0

Answer:

e) Adonis must pay $270,000 at maturity plus 20 interest payments of $14,850 each.

Explanation:

Based on this information,Adonis Corporation is issuing a coupon paying bond.

  • The $286,827 that they receive is the market price/ market value of the bond.
  • The duration of the bond = 10 years, however, since the coupons are paid semiannually, there will be 10*2 = 20 payments in total.
  • Semi annual coupon payment; PMT = (11%/2) *270,000 = $14,850
  • The $270,000 is the face value of the bond which must be repaid at the end of the life of this bond.
  • <em>Therefore, Adonis must pay $270,000 at maturity plus 20 interest payments of $14,850 each.</em>
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Market equilibrium Consider the demand function of tofu given by Qd = 150 – 10p + 5pb and the supply function of tofu given by Q
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a) Qs = 50 + 20p - 7ps

= 50 + 20p - 7×(2)

= 50 + 20p - 14

= 36 + 20p

At equilibrium, Q_{d} = Q_{s}

So, 150 - 10p + 5p_{b} = 36 + 20p

So, 20p + 10p = 30p

= 150 - 36 + 5p_{b}

= 114 + 5p_{b}

So, p = (114/30) + (5/30)p_{b}

= 3.8 + 0.17p_{b}

Thus, p_{e} = 3.8 + 0.17p_{b}

Q = 36 + 20p

= 36 + 20(3.8 + 0.17p_{b})

= 36 + 76 + 3.4p_{b}

= 112 + 3.4p_{b}

Thus, Q_{e} = 112 + 3.4p_{b}

b) p_{e} = 3.8 + 0.17p_{b}

= 3.8 + 0.17×(5)

= 3.8 + .85

= 4.65

Q_{e} = 112 + 3.4_{b}

= 112 + 3.4(5)

= 112 + 17

= 129

c) Qd = 150 - 10p + 5pb = 150 - 10(2.5) + 5(5) = 150 - 25 + 25 = 150

Qs = 36 + 20p = 36 + 20(2.5) = 36 + 50 = 86

Thus, there is excess demand as Q_{d} > Q_{s}

d) New Q_{d}= 180 - 10p + 5p_{b}

= 180 - 10p + 5×(5)

= 180 - 10p + 25

= 205 - 10p

Now, new Q_{d} = Q_{s} gives,

205 - 10p = 36 + 20p

So, 20p + 10p = 205 - 36

So, 30p = 169

So, p = 169÷30

So, p_{e} = 5.63

Q = 205 - 10p = 205 - 10×(5.63) = 205 - 56.3 = 148.7

So, Q_{e} = 148.7

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