Business, 16.10.2020 14:01 avisconti571

A University is offering a charitable gift program. A former student who is now 50 years old is consider the following offer: The student can invest $8,900.00 today and then will be paid a 9.00% APR return starting on his 65th birthday (i. e For a $10,000 investment, a 9% rate would mean $900 per year). The program will pay the cash flow for this investment while you are still alive. You anticipate living 21.00 more years after your 65th birthday. The former student wants a return of 6.00% on his investments, but would like to consider this opportunity. Required:
Using the student's desired return, what is the value of this deferred annuity today on his 50th birthday?

Answers: 1

Show answers

Answers

Answer from: babsst7480

The value of this deferred annuity today on his 50th birthday is $2,621.27.

Explanation:

Since the student's desired return of 6% will also start to be paid starting on his 65th birthday, the value of this deferred annuity today on his 50th birthday can be calculated by first calculating the value of the investment on the 65th birthday.

We therefore proceed with the following two steps:

Step 1: Calculation of the value of the investment on the 65th birthday

The value of the investment on the 65th birthday can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV at 65 = Present value of the annuity at 65th birthday =?

P = Annuity payment = Invested amount * Student's desired return = $8,900 * 6% = $534

r = Student's desired return rate = 6%, or 0.06

n = number of more years anticipate to live after 65th birthday = 21

Substitute the values into equation (1) to have:

PV at 65 = $534 * ((1 - (1 / (1 + 0.06))^21) / 0.06)

PV at 65 = $534 * 11.764076621288

PV at 65 = $6,282.02

Therefore, the value of the investment on the 65th birthday is $6,282.02.

Step 2: Calculation of the value of this deferred annuity today on his 50th birthday

The value of this deferred annuity today on his 50th birthday can therefore be calculated using the simple present value for as follows:

PV at 50 = PV at 65 / (1 + r)^N …………………………….. (2)

Where;

PV at 50 = the value of this deferred annuity today on his 50th birthday = ?

PV at 65 = Present value of the annuity at 65th birthday = $6,282.02

r = Student's desired return rate = 6%, or 0.06

N = number of years from 50th birthday to 65th birthday = 65 - 50 = 15

Substitute the values into equation (2) to have:

PV at 50 = $6,282.02 / (1 + 0.06)^15

PV at 50 = $6,282.02 / 2.39655819309969

PV at 50 = $2,621.27

Therefore, the value of this deferred annuity today on his 50th birthday is $2,621.27.

Answer from: Quest

explanation:

dew

Answer from: Quest

Ithink its 3! hope it : -)

Another question on Business

Business, 22.06.2019 02:00

Alandowner and his neighbor purchased adjoining undeveloped lots. after both built homes on their respective lots, the landowner suggested to the neighbor that a common driveway be built where the two lots joined. the neighbor agreed. the landowner and the neighbor split the cost of constructing the driveway and entered into a written agreement to equally share the costs of its upkeep and maintenance. the agreement was recorded in the county recorder's office. two years later, the neighbor built a new driveway located entirely on his lot. the common driveway, which the landowner continued to use but which the neighbor no longer used, began to deteriorate. the landowner asked the neighbor for money to maintain the common driveway, but the neighbor refused to contribute. three years later, the neighbor conveyed his lot to a friend. the friend entered into possession and used only the driveway built by the neighbor. by this time, the common driveway had deteriorated badly and contained numerous potholes. the landowner asked the friend to pay half of what it would take to repair the common driveway. the friend refused. the landowner repaired the driveway and sued the friend for 50% of the cost of repairs. will the landowner prevail?

Answers: 2

Answer

Business, 22.06.2019 08:50

Comprehensive illustrative problem: mira's store on february 1 20a4 mica delaman opened astore that sells school supplies her main customer are the students and teachers of happy students school that is situated in front of her store. mira wanted to know the financial position of mira's store. mira knew you were studying accounting. so she asked for . 1. to start her business mira's opened a checking account in the name of mira's store . the statement of account from the bank shows that the checking account has a balance of 31,535 of december 31,20a4

Answers: 2

Answer

Business, 22.06.2019 09:00

Your grandmother told you a dollar doesn't go as far as it used to. she says the purchasing power of a dollar is much lesser than it used to be. explain what she means. try and use and explain terms like inflation and deflation in your answer.

Answers: 1

Answer

Business, 22.06.2019 11:10

An insurance company estimates the probability of an earthquake in the next year to be 0.0015. the average damage done to a house by an earthquake it estimates to be $90,000. if the company offers earthquake insurance for $150, what is company`s expected value of the policy? hint: think, is it profitable for the insurance company or not? will they gain (positive expected value) or lose (negative expected value)? if the expected value is negative, remember to show "-" sign. no "+" sign needed for the positive expected value

Answers: 2

Answer

You know the right answer?

A University is offering a charitable gift program. A former student who is now 50 years old is cons...

Questions