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nevsk [136]
3 years ago
15

Martin wants to provide money in his will for an annual bequest to whichever of his living relatives is oldest. That bequest wil

l provide $ 1 comma 000 $1,000 in the first​ year, and will grow by 6 6​% per​ year, forever. If the interest rate is 12 12​%, how much must Martin provide to fund this​ bequest?
Business
1 answer:
8090 [49]3 years ago
3 0

Answer:

$16,667

Explanation:

Given that

Cash flows = $1,000

Growth rate = 6%

Interest rate = 12%

So by considering the above information, the amount would be

Amount = Cash flows ÷ (Interest rate - growth rate)

= $1,000 ÷ (12% - 6%)

= $16,667

We simply applied the above formula so that the amount could come by considering the given information

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an economy where more money is being collected than is being allocated or spent is known as what type of economic stance
nlexa [21]

It is known as Contractionary.

4 0
3 years ago
Read 2 more answers
Lone Wolf Technologies Inc. assembles circuit boards by using a manually operated machine to insert electronic components. The o
tigry1 [53]

Answer:

Differential analysis for 1 year

                                        Keep old              Change              Differential

                                        machine               machine             amount

sales revenue                  191,000                191,000               0

depreciation expense     -4,840                  -22,760               -17,920

per year

direct materials                -65,200               -65,200               0

direct labor                       -45,300               -15,100                 30,200

power and                        -4,200                 -7,200                  -3,000

maintenance

taxes and                          -1,500                 -5,000                  -3,500

insurance

S&A expenses                  -45,300              -45,300                0

total                                   24,660               30,440                  5,780

If the new machine is purchased, profits will increase by $5,780 every year.

Differential analysis for 5 years

                                        Keep old              Change              Differential

                                        machine               machine             amount

sales revenue                  955,000              955,000             0

depreciation expense     -24,200               -113,800              -89,600

per year

direct materials                -326,000             -326,000            0

direct labor                       -226,500            -75,500               151,000

power and                        -21,000               -36,000               -15,000

maintenance

taxes and                          -7,500                -25,000               -17,500

insurance

S&A expenses                  -226,500           -226,500              0

total                                   123,300             152,200                28,900

If the new machine is purchased, profits will increase by $28,900 for the 5 year period.

6 0
2 years ago
The stock price of Webber Co. is $68. Investors require an 11 percent rate of return on similar stocks.
zheka24 [161]
To get the growth rate, we will follow the Gordon Growth modelP= D/(K-G)whereP= stock value=$68D= Expected dividend=$3.85G= Growth rateK= required rate of returnG =K-(D/P)Substitute the given valuesG= 0.11-(3.85/68)
G= 5.34%The growth rate for stock required is 5.34%
7 0
3 years ago
A bank loaned out ​$19 comma 00019,000​, part of it at the rate of 7 %7% per year and the rest at 15 %15% per year. If the inter
Alla [95]

Answer:

Explanation:

Let x be the amount loaned at 7% and ($19,000 - x) be the amount loaned at 15%

Given:

Interest incurred at 7%, I1 + Interest incurred at 15%, I2 = $2000

Interest, I = amount × rate

I1 = 7/100 × x

I2 = 15/100 × ($19,000 - x)

From the above expressions,

(0.07)x + (0.15) × ($19,000 - x) = $2,000

Solving for x,

0.07x + 2850 - 0.15x = 2000

Collecting like terms,

0.08x = 850

x = $10625

The amount loaned at 7% interest is

$10625

The amount loaned at 15% interest is ($19000 - $10625)

= $8375

6 0
2 years ago
Suppose that an investor with a 10-year investment horizon is considering purchasing a 20-year 8% coupon bond selling for $900.
leonid [27]

Answer:

8.67%

Explanation:

PMT (Semi-annual coupon) = par value*coupon rate/2 = 1,000*8%/2 = 40

N (No of coupons paid) = 10*2 = 20

Rate (Semi-annual reinvestment rate) = 7%/2 = 3.5%

Future value of reinvested coupons = FV(PMT, N, Rate)

Future value of reinvested coupons = FV(40, 20, 3.5%)

Future value of reinvested coupons = $1,131.19

FV = 1,000

PMT (Semi-annual coupons) = 40

N (No of coupons pending) = 10*2 = 20

Rate (Semi-annual YTM) = 9%/2 = 4.5%

Price of the bond after 10 years = PV(FV, PMT, N, RATE)

Price of the bond after 10 years = PV(1000, 40, 20, 4.5%)

Price of the bond after 10 years = $934.96

Total amount after 10 years = Future value of reinvested coupons + Price of the bond after 10 years

Total amount after 10 years = $1,131.19 + $934.96

Total amount after 10 years = $2,066.15

Amount invested (Price of the bond now) = $900.

Total Annual Return = [(Total amount after 10 years / Amount invested)^(1/holding period)] -1

Total Annual Return = [($2,066.15/$900)^(1/10)] -1

Total Annual Return = [2.295722^0.1] - 1

Total Annual Return = 1.08665561792 - 1

Total Annual Return = 0.08665561792

Total Annual Return = 8.67%

7 0
3 years ago
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