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A loan of $100,000 is taken out which requires an annual interest payment of 6% of the outstanding principal. If no principal payments are made over time and inflation is 3.1% per year, the payment at the end of year four is?

1. A real dollar cash flow of $6,000 and an actual dollar cash flow of $5,310.
2. An actual dollar cash flow of $6,000 and a real dollar cash flow of $5,310.
3. An actual dollar cash flow of $6,779 and a real dollar cash flow of $6,000.
4. A real dollar cash flow of $5,310 and an actual dollar cash flow of $6,779.

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Kritika Krishnakumar
Kritika KrishnakumarLv10
28 Sep 2019

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Related questions

1. Cash Flow Diagrams and Compounded Interest: John decides to take out a loan for $10,000 for school at an annual interest rate of 10%. He agrees to make four equal payments, but will defer these payments for four years while in school. Starting at the end of the 5th year, he makes four equal annual payments (years 5, 6, 7 and 8). At the end of the 8th year, the loan is paid off.

(a) Create a table that depicts the cash flow diagram for this problem. It should cover years 0 to 8, and should show the balance, interest charges, each payment, how much of that payment went towards interest and how much towards the principal. The balance should be zero at the end of the 8th year. Use trial and error to find the required payment.

(b) Compute the annual payment using one of the built-in Excel functions discussed in class. Show that this gives the same answer as (a).

(c) Compute the present worth and future worth of this investment.

(d) Suppose interest is compounded twice per year instead of annually, but he still makes four annual payments starting at the end of the 5th year. What is the new annual payment?

2. Kate will purchase a house for $500,000 with a 10% down payment and $10,000 in closing costs. The closing costs are included in the loan. A 10-year loan is arranged at 5% interest compounded monthly.

(a) What is the monthly payment?

(b) By choosing to include the closing costs in the loan, how much money was paid in interest on the closing costs over the life of the loan.

(c) What is the effective interest rate for this loan? (Hint: you must take into account the monthly compounding AND the closing costs.)

(d) Suppose closing costs were paid at closing. How does this change the overall cost of the loan? How does this change the effective interest rate?



(NOTE: EVERYTHING SHOULD BE DONE IN EXCEL. OTHERWISE NO POINTS. INCLUDE THE FUNCTION USED AS WELL)

1 Two sets of cash flows are shown in the table below. If these sets are equal at 8% interest rate, determine the unknown value, X.

Year 0 1 2 3 4 5
Cash Flow, Series I $125 $100 $75 $50 $25 $0
Cash Flow, Series II $X $2X $3X $4X $5X $7X

2 A deposit of $10,000 now at a interest rate of 10% per year will accumulate in 20 years to an amount equal to _______________.

A.

$54,600
B.

$61,500
C.

$67,280
D.

$51,900

3 Which of the following relationships between compound interest factors is not correct?

A.

Single Payment Compound Amount Factor and Single Payment Present Worth Factor are reciprocals.
B.

Sinking Fund Factor and Uniform Series Compound Amount Factor are reciprocals.
C.

Capital Recovery Factor and the Sinking Fund Factor are reciprocals.
D.

Capital Recovery Factor and Uniform Series Present Worth Factor are reciprocals.

4 What is the present worth of a series of ten deposits of $200 per year at 6% made at the end of each year?

A.

$1,672
B.

$1,072
C.

$1,272
D.

$1,472

5 Determine the net present worth (NPW) of the following cash flows using an interest rate of 7%.

Year

0

1

2

3

4

5

6

7

8

Cash Flow,$

-12,000

2,000

2,000

2,000

2,000

2,000

2,500

3,000

3,500

A.$2,771.05

B.$2,500
C.$1,500
D.$1,771.05

6 At Kal Tech Manufacturing Inc, the time required to make the first unit of an engineered product is 64.1 minutes. Determine the time required for 16th unit if the learning curve percentage is 90%.

A.

42.1 minutes
B.

29.53 minutes
C.

36.45 minutes
D.

20.89 minutes

7 A sum of $994.62 deposited at time

An investment alternative in a project requires a capital cost of $72 million completed at time zero. The investment will produce a stream of revenue of $50 million per year-end over a 6year period with operating costs of $20 million per yearend for the first 3 years and $25 million per yearend for the remaining 3 years. Use straight-line depreciation for the capital cost over the project period. The rate of taxation on income is 40%.

i). Construct the cash flow table, calculate the after-tax annual cash flows, and determine the payback period;

ii) Calculate the present worth and rate of return for this project.

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