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Usimov [2.4K]
3 years ago
13

Compute the modified duration of a 9% coupon, 3-year corporate bond with a yield to maturity of 12%.

Business
1 answer:
iragen [17]3 years ago
6 0

Answer:

C. 2.45

Explanation:

Pv of cash flow

1000x9%/(1+0.12)

= 90/1.12

= 80.36

Weight = 1

Weighted pv of cash flow = 80.36

Pv of cash flow

= 1000x9%/(1+0.12)²

= 90/1.2544

= 71.75

Weight = 2

Weighted pv of cash flow = 71.75x2

= 143.5

Pv of cash flow

= (1000+1000*9%)/(1+0.12)³

= 1090/1.404928

= 775.84

Weight = 3

Weighted pv of cash flow

= 775.84x3

= 2327.52

Total pv of cash flow = 80.36+71.75+775.84

= 927.95

Total weight of cash flow pv =

80.36+143.5+2327.52

= 2551.38

Duration = weighted pv/pv

= 2551.38/927.95

= 2.75

Modified duration =

Duration/1+0.12

= 2.75/1.12

= 2.45

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Under SEC rules, the managers of certain funds are allowed to deduct charges for advertising, brokerage commissions, and other s
GarryVolchara [31]

Answer:

These kind of fees that are deducted for advertising and other sales expenses directly from the fund rather than billing investors is known as 12 B-1 charges.

Explanation:

This is a fee assessed from a mutual fund to it's investors. The managers instead of charging or billing the investors, deduct certain amount directly  from the fund itself. This is a type of annual marketing and distribution fee considered as operational expense and is included in a fund's expense ratio.

8 0
3 years ago
Real per capita GDP in Singapore in 1960 was about $450, but it doubled to about $900.00 by 1977. a. What was the average annual
aleksandrvk [35]

Answer:

4.16%

Explanation:

to calculate Singapore's economic growth rate we can use the future value formula (we could also use the rule of 72 but it is not very exact):

future value = present value x (1 + r) ⁿ

  • future value = 900
  • present value = 450
  • n = 17
  • r = ?

900 = 450 (1 + r)¹⁷

(1 + r)¹⁷ = 900 / 450 = 2

1 + r = ¹⁷√2 = 1.0416

r = 1.0416 - 1 = 0.0416 or 4.16%

6 0
3 years ago
What is the range for the relative price of cloth such that the economy produces both cloth and food? From _______ to _______ .
dezoksy [38]

The answer is explained in detail below

Explanation:

a_{KC} = 2

a_{LC} = 2

a_{KF} = 3

a_{LF} = 1

Labor, L = 2000; Capital, K = 3000  

Labour constraint,

2Q_{c} + Q_{F} \leq 2000

Capital constraint ,

2Q_{c} + 3Q_{F} \leq 3000  

Solving the equation further, we get

Q_{F} \leq 2000 - 2Q_{C}

Q_{F} \leq 1000 - \frac{2}{3} Q_{C}

  • The range for the relative price of cloth such that the economy produces both cloth and food is  2/3 and 2
  • Low cloth production → economy will use relatively more labor to  produce cloth → opportunity cost of cloth is 2/3rd units of food.
  • High cloth  production → economy dips on labor → taking capital away from food  production → raising opportunity cost of cloth to 2 units of food.  
  • If relative price of cloth lies between 2/3 and  2 units of food, the economy  produces both goods.
  • If the price of cloth decreases below 2/3 → complete  specialization in food production → low compensation for producing cloth
  • If the price of cloth  rises above 2 → complete specialization in cloth production → low compensation for producing  food
4 0
3 years ago
Gerald is assessing global entry strategies for his gourmet sandwich business. He does not want to take a lot of risk and he is
Nata [24]

Answer: Option b

Explanation: In simple words, it refers to an arrangement under which one entity allows the other entity to use its procedures and brand name for the business in return of any loyalty or other such benefits.

In the given case, Gerald wants to operate his business globally and not eager to control all of it.

Hence from the above we can conclude that franchising is the best option for Gerald.

6 0
3 years ago
A car rental agency rents 200 cars per day at a rate of 29 dollars per day. For each 1 dollar increase in the daily rate, 5 fewe
Irina-Kira [14]

Answer and Explanation:

Given:

Total car = 200

Rate = $29

Computation:

Total increase in rate = a

So , Total decrees in car = 5a

Total income (y) = [200-5a][29+a]

y = 5,800 + 200a - 145a - 5a²

y = 5,800 + 55a - 5a²

y' = dy / da [5,800 + 55a - 5a²]

y' = -10a + 55

in which , y' = 0

0 = -10a + 55

a = 5.5

So , Maximum rate = $ [29+5.5]

Maximum rate = $34.5

maximum income = 5,800 + 55(5.5)- 5(5.5)²

maximum income = 5,800 + 302.5 - 151.25

maximum income = $5951.25

3 0
3 years ago
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