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Semmy [17]
3 years ago
8

An investor purchases a 12-year, $1,000 par value bond that pays semiannual interest of $40. If the semiannual market rate of in

terest is 5%, what is the current market value of the bond
Business
1 answer:
marysya [2.9K]3 years ago
3 0

Answer:

Value of the bond = $862.013

Explanation:

The value of the bond is the present value of the future cash receipts expected from the bond. The value is equal to present values of interest payment and the redemption value (RV).

Value of Bond = PV of interest + PV of RV

The value of the bond can be worked out as follows:

Step 1

<em>Calculate the PV of Interest payment </em>

Present value of the interest payment

PV = Interest payment × (1- (1+r)^(-n))/r

Interest payment = $40

PV = 40 × (1 - (1.05)^(-12×2)/0.05)

= 40 × 13.7986

= 551.945

Step 2

<em>PV of redemption Value </em>

PV of RV = RV × (1+r)^(-n)

= 1000 × (1.05)^(-12×2)

= 310.067

Step 3

<em>Calculate Value of the bond  </em>

= 551.94567 + 310.067

=862.01

Value of the bond = $862.013

 

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Answer:

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What financial behaviors will typically lead to a low credit score?
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Consider a small country that is closed to trade, so its net exports are equal to zero. The following equations describe the eco
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Answer:

1. Aggregate output demanded is $500 billion. True.

Aggregate Demand (Y) = C + G + I

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Marginal Propensity to Consume = 0.9 as per the Consumption function.

= 1/ ( 1 - 0.9)

= 10

2. b. this will increase the economy's aggregate output demanded by $100 billion. True.

Change in Aggregate output = Increase in government expenditure * expenditure multiplier

= 10 billion * 10

= $100 billion

3. ... In this case, the economy's aggregate output demanded is $500 billion . True.

Aggregate Demand (Y) = C + G + I

Y = 40+0.9∗DI + 80 + 20

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Y = 140 + 0.72Y

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As a result of the new tax, the MPC will become;

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Expenditure Multiplier = 1 / ( 1 - Marginal Propensity to Consume)

= 1/ ( 1 - 0.72)

= 3.57

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Change in Aggregate output = Increase in government expenditure * expenditure multiplier

= 10 billion * 3.6

= $36 billion

5. A $10 billion increase in government purchases will have a larger effect on output under a fixed tax of $100 billion. True.

When the tax was fixed, an increase in Government purchases of $10 billion resulted in an increase in Aggregate output of $100 billion. When the Government switched to income taxes however, a $10 billion increase in Government spending led to a significantly lesser increase in Aggregate output of $36 billion.

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