Ch9 Solutions

# Ch9 Solutions - CHAPTER 6 DISCOUNTED CASH FLOW VALUATION...

This preview shows pages 1–3. Sign up to view the full content.

CHAPTER 6 DISCOUNTED CASH FLOW VALUATION Answers to Concepts Review and Critical Thinking Questions 1. The four pieces are the present value (PV), the periodic cash flow ( C ), the discount rate ( r ), and the number of payments, or the life of the annuity, t . 2. Assuming positive cash flows, both the present and the future values will rise. 3. Assuming positive cash flows, the present value will fall, and the future value will rise. 4. It’s deceptive, but very common. The deception is particularly irritating given that such lotteries are usually government sponsored! 5. If the total money is fixed, you want as much as possible as soon as possible. The team (or, more accurately, the team owner) wants just the opposite. 6. The better deal is the one with equal installments. Solutions to Questions and Problems Basic 1. [email protected]% = \$1,300 / 1.10 + \$500 / 1.10 2 + \$700 / 1.10 3 + 1,620 / 1.10 4 = \$3,227.44 [email protected]% = \$1,300 / 1.18 + \$500 / 1.18 2 + \$700 / 1.18 3 + 1,620 / 1.18 4 = \$2,722.41 [email protected]% = \$1,300 / 1.24 + \$500 / 1.24 2 + \$700 / 1.24 3 + 1,620 / 1.24 4 = \$2,425.93 2. PVA = \$3,000{[1 – (1/1.05) 8 ] / .05 } = \$19,389.64 PVA = \$5,000{[1 – (1/1.05) 4 ] / .05 } = \$17,729.75 [email protected]%: PVA = \$3,000{[1 – (1/1.22) 8 ] / .22 } = \$10,857.80 PVA = \$5,000{[1 – (1/1.22) 4 ] / .22 } = \$12,468.20 3. = \$900(1.08) 3 + \$1,000(1.08) 2 + \$1,100(1.08) + 1,200 = \$4,688.14 [email protected]% = \$900(1.11) 3 + \$1,000(1.11) 2 + \$1,100(1.11) + 1,200 = \$4,883.97 [email protected]% = \$900(1.24) 3 + \$1,000(1.24) 2 + \$1,100(1.24) + 1,200 = \$5,817.56 4. PVA = \$4,100{[1 – (1/1.10) 15 ] / .10} = \$31,184.93 PVA = \$4,100{[1 – (1/1.10) 40 ] / .10} = \$40,094.11 PVA = \$4,100{[1 – (1/1.10) 75 ] / .10} = \$40,967.76 PVA = \$4,100 / .10 = \$41,000.00 5. PVA = \$20,000 = \$ C {[1 – (1/1.0825) 12 ] / .0825}; C = \$20,000 / 7.4394 = \$2,688.38 6. PVA = \$75,000{[1 – (1/1.075) 8 ] / .075} = \$439,297.77; can afford the system. 7. FVA = \$50,000 = \$ C [(1.062 5 – 1) / .062]; C = \$50,000 / 5.65965 = \$8,834.47 8. PV = \$5,000 / .09 = \$55,555.56 9. PV = \$58,000 = \$5,000 / r ; r = \$5,000 / \$58,000 = 8.62% 10. EAR = [1 + (.12 / 4)] 4 – 1 = 12.55% 51

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
EAR = [1 + (.08 / 12)] 12 – 1 = 8.30% EAR = [1 + (.07 / 365)] 365 – 1 = 7.25% EAR = e .16 – 1 = 17.35% 11. EAR = .072 = [1 + (APR / 2)] 2 – 1; APR = 2[(1.072) 1/2 – 1] = 7.07% EAR = .091 = [1 + (APR / 12)] 12 – 1; APR = 12[(1.091) 1/12 – 1] = 8.74% EAR = .185 = [1 + (APR / 52)] 52 – 1; APR = 52[(1.185) 1/52 – 1] = 17.00% EAR = .283 = e APR – 1; APR = ln 1.283 = 24.92% 12. Royal Canadian: EAR = [1 + (.091 / 12)] 12 – 1 = 9.49% First Royal: EAR = [1 + (.092 / 2)] 2 – 1 = 9.41% 13. EAR = .14 = [1 + (APR / 365)] 365 – 1; APR = 365[(1.14) 1/365 – 1] = 13.11% The borrower is actually paying annualized interest of 14% per year, not the 13.11% reported on the loan contract. 14.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 21

Ch9 Solutions - CHAPTER 6 DISCOUNTED CASH FLOW VALUATION...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online