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jeyben [28]
3 years ago
7

Peter wishes to create a retirement fund from which he can draw when he retires and the same amount at each anniversary of his r

etirement for years. He plans to retire years from now. What investment need he make today if he can get a return of per year, compounded annually
Business
1 answer:
uranmaximum [27]3 years ago
3 0

Answer:

$65,742.60

Explanation:

Note: The full question is <em>"Peter wishes to create a retirement fund from which he can draw $20,000 when he retires and the same amount at each anniversary of his retirement for 10 years. He plans to retire 20 years from now. What investment need he make today if he can get a return of 5% per year, com- pounded annually?"</em>

At first, we need to find the PV of withdrawals and there are 11 withdrawals starting 20 years from now.  

PV = PMT/r * 1 - 1/(1+r)^n. This formula gives the PV one period before the first withdrawal. That is 19 years from now because the first withdrawal is 20 years from now.

PMT = 20,000, n = 11,  

r = 0.05

PV19 = 20,000/0.05 * [1 - 1/(1+0.05)^11]

PV19 = 400,000 * 0.4153207109

PV19 = 166,128.28436

Now, we need to discount this back to toda

PV0 = PV19/(1 + r)^n; n = 19, r = 0.05

PV0 = 166,128.28436/(1 + 0.05)^1

PV0 = $65,742.6033421702

PV0 = $65,742.60

So, Peter needs to make $65,742.60 today.

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The following economic functions have been derived by the Finance Manager
diamong [38]

The supply curve in the question is Qa = 3P2– 12 while the demand curve is Qx = 24 – P2.

<h3>a. How to ascertain the supply curve</h3>

To know the supply curve we have to be able to make a distinction of the direction of the signs used in the functions.

Supply curves are known to be positive because they are an increasing function that is due to prices. For demand function they are negative because they are a decreasing function.

In 3P2 – 12. the coefficient is positive when we take the first derivative. This gives us 6p= +6

For the demand curve, when we do this we would have -2p. that is -2 hence this is the demand curve.

2. Equilibrium.

At equilibrium we have Qa = Qd

hence  3P² – 12p= 24 – P²

From here we are to take like terms

3P² – 12p= 24 – P²

3P² +  P² - 12p - 24 = 0

4p² - 12p - 24 = 0

The solution to the quadratic equation using the quadratic equation calculator is x=4.37228 and x=−1.37228

Read more on demand and supply curve here:

brainly.com/question/4804206

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6 0
2 years ago
Can I get a bunch of different opinions on this job application I'm about to turn in. Is there anything I should add or remove b
Tamiku [17]
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3 years ago
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6 0
3 years ago
Read 2 more answers
uppose the current term structure of interest rates, assuming annual compounding, is as follows: s_1s 1 ​ s_2s 2 ​ s_3s 3 ​ s_4s
Ahat [919]

Answer:

7.53%

Explanation:

Calculation for the discount rate of d(0,4)d(0,4)

The discount factor is : d=1/1+i

And given that the interest rates are compounded annually the discount factor will gives the present value of the bond when provided with the interest rate and maturity value.

Therefore the present value of a bond with a maturity value of 1 will be;

Present value=1 /(1+i1) (1+i) (1+i3) (1+i4)

Present value=1 / (1.07) (1.073) (1.077) (1.081)

Present value=0.748

The present value of a bond with a maturity value of 1 will therefore be 0.748.

Now, let calculate the discounting factor for the whole 4 years:

1 (1+d (0,4))‐⁴ =0.748

(1+d(0,4))=0.748‐¹/⁴

1+d (0,4) =1.0753

d (0,4)=0.0753

Therefore the discount rate will be 7.53%

5 0
3 years ago
Webster Corporation's monthly projected general and administrative expenses include $4,500 administrative salaries, $1,900 of ot
zhannawk [14.2K]

Answer:

$8,500

Explanation:

Total budgeted general and administrative expenses are the compulsory daily cost expended to ensure that a company's operations is maintained irrespective of whether the company is making profit or not.

Examples of general and administrative expense includes rent, utility bill, insurance, depreciation of office furniture, insurance and wages etc.

Therefore,

Total budgeted general and administrative expenses budgeted per month = Administrative salaries + Other cash administrative expenses + Depreciation

= $4,500 + $1,900 + $2,100

= $8,500

8 0
3 years ago
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