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Kruka [31]
3 years ago
12

Suppose that you buy a two-year 8% bond at its face value.

Mathematics
1 answer:
Juliette [100K]3 years ago
4 0

Answer:

Real Rate of Return = 4.9%  and Nominal rate = 0.08 or 8%

Real Rate of Return = 2.9%  and Nominal rate = 0.081 or 8.1%

real rate = 5 %   and Nominal rate = 0.0815 or 8.15%

real rate = 3%  and Nominal rate = 0.0815 or 8.15%

Step-by-step explanation:

given data

time period = 2 year

Coupon rate = 8% =  0.08

Inflation rate 1st year = 3% =  0.03

Inflation rate 2nd year = 5% =  0.05

solution

we get here Real Rate of Return  that is express as

Real Rate of Return = (Coupon Rate - Inflation rate) ÷ (1+Inflation rate)   .........1

so that here 1st year Real return  will be

Real Rate of Return = (0.08 - 0.03) ÷ (1+0.03)

solve it we get

Real Rate of Return = 4.9%

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate)     ............2

(1 + nominal rate) = (1 + 0.049) × (1 + 0.03)

Nominal rate = 0.08 or 8%

and

for 2nd year Real return  will be

Real Rate of Return = (0.08 - 0.05) ÷ (1+0.05)

solve it

Real Rate of Return = 2.9%

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate)     ............3

(1 + nominal rate) = (1 + 0.029) × (1 + 0.05)

Nominal rate = 0.081 or 8.1%

and

now for the bond Treasury Inflation-Protected Securities, we get real and nominal return that is

for 1st year

Real rate = Coupon rate - Inflation     ...............4

Real rate = 0.08 - 0.03

real rate = 0.05

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate)     ................5

(1 + nominal rate) = (1 + 0.05) × (1 + 0.03)

so

Nominal rate = 0.0815 or 8.15%

and for 2nd years  it will be

Real rate = Coupon rate - Inflation      ....................6

Real rate = 0.08 - 0.05

real rate = 0.03

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate)     ...................7

(1 + nominal rate) = (1 + 0.03) × (1 + 0.05)

so

Nominal rate = 0.0815 or 8.15%

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2 years ago
Which of these problem situations could best be modeled by the equation below? 52(18) + x = 1200 Debbie sold 52 boxes of fruit f
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Answer:

a) Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200.

Step-by-step explanation:

The model equation is given as:

52(18) + x = 1200

a) Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200.

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Option a is correct

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x = weekly bonus, hence, we have the equation:

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Option b is wrong

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This is represented as:

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Option c is wrong

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What is the value of log(x exponent 2 y exponent 3 divided by z) when given the following:
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Answer:

B. 13

Explanation:

\sf\:Given\:expression: log(\dfrac{x^2 y^3}{z} )

Logarithm rules:

\sf (i)  \ \sf log(ab) = log(a) + log(b)\\ \\ (ii) \  log(a/b) = log(a) - log(b)\\\\ (iii) \ log(a^n) = n log(a)

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insert given values

\rightarrow \sf 2(3)+3(2)-(-1)

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