Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Question 3: Time Value of Money and application (25 marks) a) Your 35-year old uncle is considering his retirement needs. He expects to retire at

image text in transcribed

Question 3: Time Value of Money and application (25 marks) a) Your 35-year old uncle is considering his retirement needs. He expects to retire at age 65 (in 30 years) and plans to live to age 99. He wants to buy a house costing $300,000 on his 65th birthday and his living expenses will be $30,000 a year after that (starting at the end of year 65 and continuing through the end of year 99, i.e. for 35 years). Assume an annual interest rate of 8%, annual compounding: i) How much will he need to have saved by his retirement date to be able to afford this plan? ii) Suppose he already has $50,000 in savings today. If he can invest money at 8% a year, how much would he need to save at the end of each year for the next 30 years to be able to afford this retirement plan? (5+10=15 marks) b) You have been hired to run a pension fund for Mackay Inc, a small manufacturing firm. The firm currently has $5 million in the fund and expects to have cash inflows (receipts) of $2 million a year for the first 5 years followed by cash outflows (payments) of $3 million a year for the next 5 years. Assume that interest rates are at 8%. (1) How much money will be left in the fund at the end of the tenth year? (ii) If you were required to pay a perpetuity after the tenth year (starting in year 11 and going through infinity) out of the balance left in the pension fund, how much could you afford to pay every year? (10 marks) Question 3: Time Value of Money and application (25 marks) a) Your 35-year old uncle is considering his retirement needs. He expects to retire at age 65 (in 30 years) and plans to live to age 99. He wants to buy a house costing $300,000 on his 65th birthday and his living expenses will be $30,000 a year after that (starting at the end of year 65 and continuing through the end of year 99, i.e. for 35 years). Assume an annual interest rate of 8%, annual compounding: i) How much will he need to have saved by his retirement date to be able to afford this plan? ii) Suppose he already has $50,000 in savings today. If he can invest money at 8% a year, how much would he need to save at the end of each year for the next 30 years to be able to afford this retirement plan? (5+10=15 marks) b) You have been hired to run a pension fund for Mackay Inc, a small manufacturing firm. The firm currently has $5 million in the fund and expects to have cash inflows (receipts) of $2 million a year for the first 5 years followed by cash outflows (payments) of $3 million a year for the next 5 years. Assume that interest rates are at 8%. (1) How much money will be left in the fund at the end of the tenth year? (ii) If you were required to pay a perpetuity after the tenth year (starting in year 11 and going through infinity) out of the balance left in the pension fund, how much could you afford to pay every year? (10 marks)

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

The Oxford Handbook Of The Sociology Of Finance

Authors: Karin Knorr Cetina, Alex Preda

1st Edition

0198708777, 978-0198708773

More Books

Students also viewed these Finance questions

Question

Perform an Internet search. Discuss a company that uses EPLI.

Answered: 1 week ago

Question

How do you feel about employment-at-will policies? Are they fair?

Answered: 1 week ago