Part II: PROBLEMS

Round all dollar answers to 2 decimal places, round time (years or months) answers to one (1) decimal place and record interest rates as percent values rounded to one (1) decimal place. However, be sure to NOT input a dollar sign, commas, or percent sign on D2L. For example, record $3,284.33965 as 3284.34, record 37.285432 years as 37.3 and record .064358 = 6.4358% as 6.4.

1. What is the effective annual rate (EAR) of 8.17% p.a., but with daily compounding (assume 365 days per year)?

2. You expect to deposit the following cash flows at the end of years 1 through 5, $1,000; $4,000; $9,000; $5,000; and $2,000 respectively. What is the future account value at the end of year 20 if you can earn 10% p.a., compounded continuously?

3. Exactly 9 years ago, Johnson purchased a house with a $326,500, 20-year, monthly payment mortgage. The fixed interest rate on his loan was 4.25% p.a. If Johnson made all required payments for the last 8 years (i.e., for the first 96 payment periods of the loan), what is the remaining balance on his loan today?

4. Upon graduation, Kennedy Wilson plans to purchase a new car. Jill believes that she will be able to secure financing from her credit union for a 60-month loan with a 5.99 percent annual rate, compounded monthly. Kennedy has saved up $1500 that she will use as a down payment on the car she plans to purchase, which has a final drive out price of $33,400 (excluding the down payment). If the first payment on Kennedy Wilson loan (i.e., the drive out price minus her down payment) is due exactly one month after she buys the car, how much will that amount be?