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tresset_1 [31]
2 years ago
11

The 7 percent semiannual coupon bonds of Over The Counter, Inc., are selling for $1,102.25. The bonds have a face value of $1,00

0 and mature in 18 years. What is the yield to maturity
Business
1 answer:
levacccp [35]2 years ago
5 0

Answer:

YTM = 2.84%

Explanation:

We know,

YTM = \frac{I + \frac{M - V_{0}}{n} }{\frac{2M + V_{0} }{3}}

Here,

I = Coupon payment = It is calculated by multiplying the coupon interest rate by the par value of the bond.

M = Bond's par value.

Vo = Bond's current market price.

n = Number of years or periods.

Given,

n = 18

I = Semiannual coupon bonds rate = $1,000*7%*(1/2) = $70 ÷ 2 = $35

M = Par value of a bond = $1,000

Vo = Market value of the bond = $1,102.50

Therefore,

YTM = \frac{35 + \frac{1,000 - 1,102.25}{18} }{\frac{2*1,000 + 1,102.25}{3}}

or, YTM = \frac{35 - 5.68}{\frac{3,102.25}{3}}

or, YTM = $29.32 ÷ $1,034.08

or, YTM = 0.0284

Therefore, YTM = 2.84%

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ADVANCED ANALYSIS Assume the following values for Figures 4.4a and 4.4b: Q1 = 20 bags. Q2 = 15 bags. Q3 = 27 bags. The market eq
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Answer:

Explanation:

a. Total surplus is the area bounded by points a, b, and c. To calculate total surplus, we use the following formula for the area of a triangle: Area = ½ × Base × Height. The area between the demand curve and the supply curve for the quantity ranging from 0 to 20 is the total economic surplus. This is a triangle with a base (best read off the price axis) of $80, which is the price difference at Q = 0, or between points a and c, and a height of 20 (the number of units purchased in equilibrium). Using these values, we have a total surplus of (1/2) × $80 × 20 = $800.

The consumer surplus is the area between the demand curve and the equilibrium price line. Here we have a base of $40 (the price difference between the demand schedule price at Q = 0, which is $85, and the equilibrium price of $45). The height of the triangle is once again 20 (the number of units purchased in equilibrium). Using these values, we have a consumer surplus of (1/2) × 40 × 20 = $400.

b. Deadweight loss is the difference in total surplus between an efficient level of output Q1 and a reduced level of output at Q2. We can calculate this as the area of a triangle bounded by points bde. The base of this triangle is the difference in prices at points d and e, or $55 – $35 = $20. The height of this triangle is given by the difference in the restricted level of output of Q2 = 15 and the efficient level of output Q1 = 20, or 5 units. Thus, the area of this triangle (the deadweight loss) is equal to (1/2) × $20 × 5 = $50. The remaining total surplus can be found by subtracting the deadweight loss from the original (efficient) total surplus. This is $800 (maximum total surplus) – $50 (deadweight loss) = $750.

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