# Calculating Present and Future Value

ASSIGNMENT 1

The objectives of this assignment are:

i. Determine the present value solutions to period, interest, and payments.

ii. Calculate the future value solutions for period, interest, and payments.

iii. Determine the answers relating to annuity, perpetuities, and annuity due problems.

iv. You must submit your backup in Excel or other supporting documentation showing how answers were reached.

1. Future Value. What is the future value of

a. $773 invested for 14 years at 11 percent compounded annually?

b. $210 invested for 7 years at 6 percent compounded annually?

c. $650 invested for 10 years at 9 percent compounded annually?

d. $615 invested for 7 years at 14 percent compounded annually?

2. Present Value. What is the present value of

a. $803 to be received 10 years from now at a 15 percent discount rate?

b. $406 to be received 6 years from now at a 5 percent discount rate?

c. $300 to be received 10 years from now at a 9 percent discount rate?

d. $632 to be received 14 years from now at a 14 percent discount rate?

3. Future Value of an Annuity. What is the future value of

a. $557 a year for 14 years at 5 percent compounded annually?

b. $748 a year for 8 years at 10 percent compounded annually?

c. $442 a year for 8 years at 12 percent compounded annually?

d. $976 a year for 12 years at 5 percent compounded annually?

4. Present Value of an Annuity. What is the present value of

a. $1,163 a year for 15 years at an 8 percent discount rate?

b. $329 a year for 7 years at a 15 percent discount rate?

c. $365 a year for 10 years at a 10 percent discount rate?

d. $883 a year for 6 years at a 5 percent discount rate?

5. How many years will it take to grow

a. $711 to a value of 2,028.19 at a compound rate of 14 percent?

b. $321 to a value of 450.22 at a compound rate of 7 percent?

c. $931 to a value of 1,305.78 at a compound rate of 7 percent?

d. $1,191 to a value of 4,189.79 at a compound rate of 15 percent?

6. Interest Rate. At what interest rate will it take to grow

a. $759 to a value of 1,017.13 over 6 years?

b. $614 to a value of 1,082.08 over 5 years?

c. $701 to a value of 1,311.16 over 6 years?

d. $1,190 to a value of 4,163.16 over 12 years?

7. Annuity. How many years will it take for a payment of

a. $825 to grow to 17,642.03 at a compound rate of 10 percent?

b. $356 from a future value of 13,271.58 at a compound rate of 12 percent?

c. $1,098 from a future value of 6,189.53 at a compound rate of 6 percent?

d. $733 from a future value of 14,365.80 at a compound rate of 5 percent?

8. Annuity. At what interest rate will a payment of

a. $346 grow to 12,898.78 over a period of 15 years?

b. $1,056 grow to 10,834.35 over a period of 8 years?

c. $696 grow to 22,113.65 over a period of 15 years?

9. Car Loans (Hint: P/Y=12). How much is a car loan with a payment of

a. $257 per month for 3 years at 6% interest per year?

b. $437 per month for 5 years at 15% interest per year?

c. $274 per month for 6 years at 7% interest per year?

d. $253 per month for 2 years at 7% interest per year?

10. Car Loans (Hint: P/Y=12). How many months will you pay on a car loan of

a. $18,708 with a payment of 406.76 per month at 11% interest per year?

b. $10,112 with a payment of 276.33 per month at 14% interest per year?

c. $32,705 with a payment of 1,101.96 per month at 13% interest per year?

d. $34,136 with a payment of 1,638.97 per month at 14% interest per year?

11. Car Loans (Hint: P/Y=12). What is the interest rate on a loan of

a. $8,000 with a payment of 218.61 per month for 4 years?

b. $16,000 with a payment of 368.47 per month for 4 years?

c. $24,000 with a payment of 521.82 per month for 5 years?

d. $32,000 with a payment of 664.27 per month for 5 years?

12. Mortgages (Hint: P/Y=12, House cost = Loan Value/0.9).

What is the house cost on a 10 percent down mortgage with payments of

a. $4,369.66 per month for 30 years at 10 percent interest?

b. $1,626.83 per month for 15 years at 11 percent interest?

c. $3,724.21 per month for 30 years at 8 percent interest?

d. $4,469.19 per month for 15 years at 14 percent interest?

13. Mortgages (Hint: P/Y=12). What is the interest rate on a mortgage of

a. $863,001 with a payment of 5,174.13 for 30 years?

b. $125,709 with a payment of 1,275.02 for 15 years?

c. $546,227 with a payment of 6,906.73 for 30 years?

d. $478,167 with a payment of 3,781.31 for 15 years?

14. Mortgages (Hint: P/Y=12). What is the payoff on a 30 year, 6% mortgage of

a. $255,413 with a payment of 1,531.33 with 7 years remaining?

b. $530,493 with a payment of 3,180.57 with 9 years remaining?

c. $297,266 with a payment of 1,782.26 with 13 years remaining?

d. $108,947 with a payment of 653.19 with 13 years remaining?

ASSIGNMENT 2

The objectives of this assignment are:

i. Determine the value of stocks: preferred and constant growth.

ii. Estimated the value of stock with high growth, and then estimate the value of stock with constant growth.

iii. Determine the components of stock valuation models.

iv. You must submit your backup in Excel or other supporting documentation showing how answers were reached.

1. Stock. What is the value of a stock with a

a. $2 dividend just paid and an 8% required return with 0% growth?

b. $3 dividend just paid and a 9% required return with 1% growth?

c. $4 dividend to be paid and a 10% required return with 2% growth?

d. $5 dividend to be paid and a 11% required return with 3% growth?

2. Stock. What is the required rate of return on a stock with a

a. $1.5 expected dividend and a $19 price with 7% growth?

b. $1.75 expected dividend and a $25 price with 8% growth?

c. $2 expected dividend and a $26 price with 9% growth?

d. $2.25 expected dividend and a $33 price with 10% growth?

3. Stock. What is the growth rate of the stock with a

a. $2.50 expected dividend and a $30.60 price with 15% required return?

b. $2 expected dividend and a $25.35 price with 12% required return?

c. $3 expected dividend and a $10.40 price with 11% required return?

d. $1.77 expected dividend and a $50.20 price with 14% required return?

4. Stock price. What is the value of a stock with high growth then constant growth,

a. dividends of $1.50, $3.00, and $6.00, constant growth at 4% and a required return of 6%?

b. dividends of $2.50, $3.50, and $5.00, constant growth at 3.5% and a required return of 8%?

c. dividends of $1.50, $3.00, and $6.00, constant growth at 5% and a required return of 10%?

d. dividends of $2.50, $3.50, and $5.00, constant growth at 7% and a required return of 12%?

#### Solution Preview

Please see attached excel spreadsheet for full work.

1. Future Value. What is the future value of

a. $773 invested for 14 years at 11 percent compounded annually? 3,331.97

b. $210 invested for 7 years at 6 percent compounded annually? 315.76

c. $650 invested for 10 years at 9 percent compounded annually? 1,538.79

d. $615 invested for 7 years at 14 percent compounded annually? 1,538.90

2. Present Value. What is the present value of

a. $803 to be received 10 years from now at a 15 percent discount rate? 198.49

b. $406 to be received 6 years from now at a 5 percent discount rate? 302.96

c. $300 to be received 10 years from now at a 9 percent discount rate? 126.72

d. $632 to be received 14 years from now at a 14 percent discount rate? 100.94

3. Future Value of an Annuity. What is the future value of

a. $557 a year for 14 years at 5 percent compounded annually? 10,916.44

b. $748 a year for 8 years at 10 percent compounded annually? 8,554.04

c. $442 a year for 8 years at 12 percent compounded annually? 5,436.46

d. $976 a year for 12 years at 5 percent compounded annually? 15,535.12

4. Present Value of an Annuity. What is the present value of

a. $1,163 a year for 15 years at an 8 percent discount rate? 9,954.67

b. $329 a year for 7 years at a 15 percent discount rate? 1,368.78

c. $365 a year for 10 years at a 10 percent discount rate? 2,242.77

d. $883 a year for 6 years at a 5 percent discount rate? 4,481.84

5. How many years will it take to grow

a. $711 to a value of 2,028.19 at a compound rate of 14 percent? 8.00

b. $321 to a value of 450.22 at a compound rate of 7 percent? ...

#### Solution Summary

Detailed answers with step by step calculations (excel sheet) are provided.