Thursday 23 February 2017

Formulas P2


1.       Learning Curve
Y = ax^b
Y = cumulative average time per unit
X = total number of units
A = time taken for first unit
B = index of learning (Log r / log2 where ‘r’ is the learning rate)

2.       ABC
OAR = Total overhead / Total activity

3.       Throughput accounting
Return per factory hour = throughput per unit / product time on the bottleneck resource
Cost per factory hour = total factory costs / total time on a bottleneck resource
TA ratio = return per factory hour / cost per factory hour

4.       Ratios
Current ratio = current assets / current liabilities
Quick ratio = current assets (excluding stock) / current liabilities
Asset turnover = turnover / capital employed (TALCL)
ROCE = (profit from operations/net assets) x 100%
Profit margin = (profit from operations/total turnover) x 100%
Contribution to sales ratio = contribution per unit / unit SP or total contribution/total revenue
ROI  = Divisional profit – (investment x cost of capital)
EVA = Economic profit (net operating profit after tax) – capital charge (net assets x cost of capital)

5.       Investment Appraisal Techniques
PV = FV x [1/(1+r)^n]
Annuity = P x {[1-(1+r)^-n/r]}
Perpetuity = P/r
ARR = annual profit average / average value of investment or average annual profit / initial investment
IRR = L + (NL / NL – NH) x (H-L)
MIRR = {(Terminal value of inflows / PV of outflows) ^1/n} – 1  where ‘n’ represents the number of future time periods
Sensitivity analysis = NPV / PV of flow considered x 100%
 Profitability index for capital rationing, NPV / capital required in time restricted period
6.       The Pricing Decision

MR = MC
P = a – bq
MR = a – 2bq

P = price
Q = quantity demanded at that price
A = theoretical maximum price
B = change in price / change in quantity

7.       Pricing

Full cost price = total budgeted factory costs + mark-up on costs budgeted volumes
Marginal cost plus = variable cost + % contribution margin

Perfectly competitive market, TP = market price - any small adjustments
Spare capacity, TP = MC - any small adjustments to MC
No spare capacity, TP = MC of product being transferred + opportunity cost (lost contribution) of product being sacrificed - any small adjustments

8.       Expected Values
EV = Sum of px
X = future outcome

P = the probability of outcome occurring