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Yuki888 [10]
2 years ago
9

An insurance firm agrees to pay you $3,310 at the end of 20 years if you pay premiums of $100 per year at the end of each year f

or 20 years. Find the internal rate of return to the nearest whole percentage point.
Business
1 answer:
azamat2 years ago
3 0

Answer:

6.43%

Explanation:

The internal rate of return shall be determined by the Insurance firm using the following mentioned method:

Cash flows      Year involved      Present [email protected]%  Present [email protected]%          

($100)                 1-20                      ($851)                            ($1,487.75)                      

$3,310                 20                        $492                             $1,832.67

                                                        ($359)                           $344.92

IRR=A%+ (a/a-b)*(B%-A%)

A%=10%  a= ($359) B%=3%  b=$344.92  

IRR=10%+(-$359/-$359-$344.92)*(3%-10%)

     =6.43%

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Assume the current Treasury yield curve shows that the spot rates for six​ months, one​ year, and one and a half years are 1 %1%
Ludmilka [50]

Answer:

present value of bond = $1042.96

Explanation:

given data

spot rates for six​ months = 1%

spot rates for one and = 1.1%​

spot rates for one and half years = 1.3%​

price = $1000

coupon bond = 4.25%

time = 6 month

solution

we get here first price on bond paid that is

coupon paid = $1000 × 4.25 × 0.5   = $21.25

we get here present value of 6 month and 1 year and 1 and half  year

present value  =   \frac{coupon\ payment }{(1+\frac{spot \ rate}{2})^t}     ..............1

present value of 6 month = \frac{21.25}{(1+\frac{0.1}{2})^1}    = 20.23

present value of 1 year = \frac{21.25}{(1+\frac{0.011}{2})^2}   = 21.01  

present value of 1 year and half year = \frac{21.25}{(1+\frac{0.013}{2})^2}   =  20.97

and

now we get present value of par value in 1 and half year

present value of par value in 1 and half year = \frac{par\ value}{(1+\frac{spot rate}{2})^3}  

present value of par value in 1 and half year = \frac{1000}{(1+\frac{0.013}{2})^3}

present value of par value in 1 and half year = 980.75

so

present value of bond will be as

present value of bond = 20.23 + 21.01 + 20.97 + 980.75

present value of bond = $1042.96

5 0
2 years ago
At January 1, 2021, Café Med leased restaurant equipment from Crescent Corporation under a nine-year lease agreement. The lease
marusya05 [52]

Answer:

$11,750

$189,750

Explanation:

1: Calculation for the effect of the lease on Café Med's earnings for the first year

Based on the information given we were told that the lease agreement has annual payments of the amount $29,000 which means that Corporation will recognized a rental revenue of the amount $29,000 each year

Now let Compute for the depreciation to be charged on equipment using this formula

Annual depreciation = Cost of equipment / Useful life

Let plug in the formula

Annual depreciation= $207,000 / 12

Annual depreciation= $17,250

Second step is to Compute for Crescent Effect on earnings using this formula

Crescent Effect on earnings = Rental revenue - Depreciation expense

Let plug in the formula

Crescent Effect on earnings= $29,000 - $17,250

Crescent Effect on earnings= $11,750

2. Calculation for the balances in the balance sheet accounts

Using this formula

Equipment balance at the end of 2021 = Cost - Accumulated depreciation

Let plug in the formula

Equipment balance (net) at the end of 2021= $207, 000 - $17, 250

Equipment balance (net) at the end of 2021= $189,750

Deferred lease revenue will be the Rental amounts that was received in advance on 31. DEC.2021 for 2019 year = $29,000

5 0
2 years ago
Hamrick Industries makes and sells two products. The demand for both products is unlimited. Product A has a contribution margin
sergejj [24]

Answer:

Product A because the contribution margin per MH is $23.33

Explanation:

In terms of efficiency, you have to look for the highest outcome with the fewer use of resources. In this case, the resources available are the machines, and the outcome is the profit (margin per unit). Applying the formula:  Efficiency producing X (Ex) = [(1 hour of machine hour) / (Product x timed used per unit)]Margin per unit X, and comparing products A and B, you get that producing A is more efficient in terms of profits than producing B, by $10,1 per hour (23,33 - 13,2)

8 0
2 years ago
Read 2 more answers
Futura Company purchases the 40,000 starters that it installs in its standard line of farm tractors from a supplier for the pric
uysha [10]

Answer:

By producing the starters the company will save $20,000 per year.

Explanation:

                       production costs

direct materials                                      $3.10 per unit

direct labor                                             $2.70 per unit

supervision                                            $60,000

depreciation                                          $40,000

variable manufacturing overhead        $0.60 per unit

rent                                                         $12,000

total production cost                             $9.20 per unit

The engineer is wrong because he is considering fixed costs like depreciation and rent that should not be included because they are independent on whether this project is approved or not. Once you take away depreciation and rent, the cost per unit will fall by $1.30 [= ($40,000 + $12,000) / 40,000 units].

Since the production cost = $9.20 - $1.30 = $7.90, which is lower than $8.40 which is the purchase cost, the company should start producing the starters at least until its sales bonce back.

By producing the starters the company will save ($8.40 - $7.90) x 40,000 units = $20,000 per year

5 0
2 years ago
Graham receives $640,000 at his retirement. he invests x in a twenty-year annuityimmediate with annual payments and the remainin
sergeinik [125]
<span>For the amount invested in the 20 year annuity immediate,

the return will be;
 r/(1 - (1+r)^-n) = 0.05/(1- 1.05^-20)
= 0.0802425872
= 8.02425872% 

Now, return on perpetuity-immediate = 5% 

So, 5% + </span>8.02425872% = 13.02425872<span>

for equal returns from both investments,
X = 5/(13.02425872) x 640,000

= $245,695.365 

= $ 245,695.36 </span>
3 0
2 years ago
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