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noname [10]
2 years ago
6

Given the following demand and supply equations determine the market equilibrium price and quantity. QD=30-3p. As=10-5p. Where Q

is quantity and P is price​
Business
1 answer:
pochemuha2 years ago
4 0

Answer:

Equilibrium price, p = 2.5

Equilibrium Quantity, Q = 22.5

Explanation:

The equation is:

Qd = 30 - 3p

Qs = 10 + 5p

At equilibrium, Quantity demanded equals quantity supplied

Equate Qd = Qs to find equilibrium price

30 - 3p = 10 + 5p

30 - 10 = 5p + 3p

20 = 8p

p = 20/8

P = 2.5

Substitute equilibrium price into Qd and Qs equation to find equilibrium Quantity

Qd = 30 - 3p

= 30 - 3(2.5)

= 30 - 7.5

= 22.5

Qs = 10 + 5p

= 10 + 5(2.5)

= 10 + 12.5

= 22.5

Therefore,

Equilibrium price, p = 2.5

Equilibrium Quantity, Q = 22.5

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3 years ago
Laurel, Inc., and Hardy Corp. both have 6 percent coupon bonds outstanding, with semiannual interest payments, and both are curr
stealth61 [152]

Answer:

A. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of these bonds?

Laurel, Inc. = -8.11%

Hardy Corp. = -18.91%

B. If interest rates were to suddenly fall by 2 percent instead, what would the percentage change in the price of these bonds be then?

Laurel, Inc. = +8.98%

Hardy Corp. = +25.49%

Explanation:

bonds with 6% semiannual coupons, sold at par $1,000

Laurel, Inc. bond maturity in 5 years

Hardy Corp. bond maturity in 18 years

the current price of a bond is the sum of the present value of its face value and coupons. I will use an annuity table to calculate PV of face value and an ordinary annuity table for the coupons:

Laurel, Inc.

market rate 4% = ($1,000 x 0.8203) + ($30 x 8.9826) = $820.30 + $269.48 = $1,089.78, % change = 89.78/1,000 = 8.98%

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Hardy Corp.

market rate 4% = ($1,000 x 0.4902) + ($30 x 25.489) = $490.20 + $764.67 = $1,254.87, % change = 254.87/1,000 = 25.49%  

market rate 8% = ($1,000 x 0.2437) + ($30 x 18.908) = $243.70 + $567.24 = $810.94, % change = -189.06/1,000 = -18.91%  

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