FIR 3410, Finance Basics

Assignment Help:
Your client, a man, is currently 35 years old and he wants to retire when he is 65 years old (exactly 30 years from now). He would like his retirement income to be equivalent to $6,000 per month, adjusted for inflation. You estimate that inflation rate for the next 30 years to average 3% annually. He anticipates purchasing a guaranteed retirement annuity form an insurance company the month before he retires (359 months from now). The insurance company will use the actuarial life expectancy table below to determine the cost of the annuity. As you can see, he is expected to live about 16 years (s, he should expect to purchase a 193 month annuity) following retirement. They will add a 4% premium to the pure premium calculated from their actuarial table. He has a $25,000 in savings today that will be invested until he retires. Given a rate of return of 6% (annually but compounded monthly) for the foreseeable furture for both your client and the insurance company, how much does he need to save each month (359 months) for the next 29 years and 11 months (first payment to be made in one month) if he is to aford to purchase the annuity contract? (assume that you make the last month payment in 29 years and 11 months, the month before you receive your first monthly retirement payment.)

Period LIfe Table, 2011
Male Female
Death Probability Number of Lives Life expectancy Death probability Number of Lives LIfes expect
60 0.012405 84,642 19.81 .007732 90,821 23.11
61 0.013589 83,592 19.05 .008497 90,119 22.28
62 0.014840 82,456 18.31 .009318 89,353 21.47
63 0.016149 81,232 17.57 .010192 88,521 20.67
64 0.017547 79,920 16.85 .011138 87,618 19.88
65 0.019102 78,518 16.15 .012199 86,642 19.09
66 0.020847 77,018 15.45 .013384 85,642 18.32

1) What dollar amount will be needed per month at retirement age? (Hint: you want the equivalent to 6,000 per month when you retire; however, inflation will be 3% over the next 30 years! So you want to calculate the FV in 30 years.)

2) Okay, in part 1 you calculated the monthly dollar amount needed for retirement. Now you need to determine what the PV of this stream of retirement income will be (one month before retirement). Hint: THis will be the PVA of the stream of monthly retirement income - fromt part 1 - for 193 months. Remember this PV is in the future when you are ready to retire.)

3) What will hte price of this annuity? (Hint: This next step is easy - you need to determine what this annuity will cost. The figure you arrived at in part 2 is the pure premium. Now you need to increase this by the amount the insurance company adds to the pure premium.)

4) What is the future value of your client''s savings in 359 months when he plans to retire? (Hint: Your client has savings - what will these be worth in the future?)

5) What is the new total amount needed by month 359 when he plans to retire? (Hint: This is easy to calculate - - it is the amount from 3 minus the figure determined in 4.)

6) How much needs to be saved monthly so you will have sufficient savings to purchase this annuity from the insurance company? (Hint: You need to solve for the annuity amount. You know the FVA, the interest rate, number of periods.)

Finance

Related Discussions:- FIR 3410

Mony and finance, mony is differnt from wealth and income

mony is differnt from wealth and income

What is the role of a broker in security transactions, What is the role of ...

What is the role of a broker in security transactions? How are brokers compensated? Ans: Brokers handle orders to sell or buy securities. Brokers are agents who work in place o

Calculate effective annual cost, What is the effective annual cost of skipp...

What is the effective annual cost of skipping the discount and paying at the end of the net period for the following credit terms: 6/10, net 70? please show work"

Time value of money, One of the projects the US loan would fund is to build...

One of the projects the US loan would fund is to build earthquake-resistant buildings. The project will begin in March 2013, last for two years and is expected to have the followin

What is bond rate, What is Bond Rate It is interest rate received on...

What is Bond Rate It is interest rate received on the face value or the par value of the bond. If a company or government issues a 10-year bond with 100$ as face value and 1

Partnership deeds, Partnership Deeds This is an important document whic...

Partnership Deeds This is an important document which governs the members in partnership firm. It covers among other things the following points:      i. The name, location,

Foreign trade balance, Foreign Trade Balance If the Government buys or...

Foreign Trade Balance If the Government buys or imports much more than it sells or exports there will be a trade deficit such will require financing.The most important source

Captive insurance, discuss the meaning and advantage of captive insurance

discuss the meaning and advantage of captive insurance

Calculate return on common equity, At the end of the fiscal year ending Jun...

At the end of the fiscal year ending June 30, 2003, Microsoft reported common equity of $64.9 billion on its balance sheet, with $49.0 billion invested in financial assets (in the

Financial instruments in money market, Financial Instruments in Money Marke...

Financial Instruments in Money Market or Discount Markets Financial Instruments in Money market involve as: 1. Commercial paper 2. Bills of exchange 3. Treasury bills

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd