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On December 31, 2019, Speedo’s Limited bought a yacht for $55,000, but made a down payment of $10,000. Speedo’s agreed to pay the balance in 10 equal end-of-year instalments and 10% interest on the declining balance. Calculate the annual payments.
Consider Donald and Joe who are both 30- years of age and recently graduated with a degree in Finance. Both Donald and Joe plan to retire at age 67, and the retirement plan pays a 12 percent per annum return and is also compounded monthly. Donald plans to invest $1,000 per month beginning next month into his retirement account, while Joe shall invest $2,000 per month. Joe however does not plan to begin investing until 10 years after Donald begins to invest. How much will each of the newly grads have at retirement?
Your grandfather left an inheritance for you of $100,000. However you can only drawdown on the investment as follows:

Years 1 – 3 $15,000 each year
Year 4 to 6 $10,000 each year
Year 7 $25,000
Interest on the fund is 5%.

a) What is the present worth of this inheritance?
b) Due to high liquidity interest rate have dropped to 4%. What will be the impact on the present worth of this inheritance as a consequence of the market change?
Betty Kay has a contract in which she will receive the following payment for the next 5 year: $1,000, $2,000, $3,000, $4,000 and $5,000. She will then receive an annuity of $8,500 a year for the end of the 6th through the end of the 15th year. She is offered a $30,000 to cancel the contract. If the payments are discounted at 14 percent should she cancel the contract? Show all workings.

What is the semi-annual coupon bond’s nominal yield to maturity (YTM), if the years to maturity is 15 years, and sells for 119% with coupons rate of 10%? Assume the par value of the bond is $1,000.


Your brother has a two-year old baby girl. Thinking ahead, he is considering saving for his daughter’s college education, which will begin in 16 years.

If the bank promises to pay your brother an interest rate of 4% per year, how much money will your brother need to put into his saving account today to have $2,000,000 in 16 years?


Show all your calculations.


Jamie is thinking of retiring. His retirement plan will pay him either $1,500,000
immediately on retirement or $2,100,000 five years after the date of his
retirement.
(a) Which option should Jamie choose if the interest rate is 0% per year?
(b) Which option should Jamie choose if the interest rate is 10% per year?

Investment A offers to pay you $10,000 per year for 8 years, whereas Investment B offers to pay you $12,500 per year for 5 years.

(a) Determine if Investment A or Investment B has the higher present value if the interest rate is 5%.

(b) Determine if Investment A or Investment B has the higher present value if the interest rate is 15%. Show all your calculations.


You decide to begin saving towards the purchase of a new car in 5 years. If you put $1,000 at the end of each of the next 5 years in a savings account paying 6% compounded annually, how much will you accumulate after 5 years?
Suggest ONE common financial goal for each of the following life situations:
(a) a final year undergraduate student
(b) a young couple with a new-born baby
(c) an older couple (age 50+) with no dependent child
(d) a single mother with a pre-school son
Briefly explain your answers.